diff --git "a/data/dm_maths/full_data_1/10433_11255.jsonl" "b/data/dm_maths/full_data_1/10433_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10433_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f be (6 + 0)\/1 - 2. Suppose 14 = 2*p - 0*p + 2*d, -2*d = -f*p + 28. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6.1 or 0?\nAnswer: 6.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*p - 9, -4*o - 19 = -5*p - 12. Let k(s) = 16*s**3 + s + 1. Determine k(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -6, 3, -5 in descending order.\nAnswer: 24, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 1, z: 1, r: 4}. What is prob of sequence rz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 6:24 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -244416 (base 7) in base 4?\nAnswer: -22323333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3056 or 2762?\nAnswer: 2762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31289040 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 2:15 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 50*v**2 + 59*v + 172. Let s be i(-25). Are s and -1302 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9523429 not equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d**3 + 1. Let u be k(1). Suppose 9*f = 5*f. Suppose -t + u - 1 = f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 43265.\nAnswer: -735505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 4*k + 86 = 0, 2*n - 1223*k + 608*k = -611*k + 110 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 7. Let b be i(4). Suppose 9*s - 7*w - 21 = -5*w, -5*s + w + 12 = 0. Solve 2*m - m = s*k - 8, -20 = -b*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Suppose q + 5*o - 23 - 6 = 0, 0 = 5*q + 4*o - 124. Let j(c) = -8*c. Let z(k) = k. Let h(v) = q*z(v) + 4*j(v). What is h(p(t))?\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37756 = 5*a - r, -4*a + 77*r + 30192 = 73*r. Does 59 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2010 - 2175 = -27*i. Is i a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3828, -5, -364.\nAnswer: -364, -5, 3828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*i - 481 - 23 = 1700 + 604 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-7))\/(((z\/(z\/(((((((z**(1\/6)\/z)\/z)\/z)\/z)\/z)\/z)\/z)*z))\/z*z)\/z) assuming z is positive.\nAnswer: z**(107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299733?\nAnswer: 19, 67, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 200*n**2 + 185*n - 118. What is the hundreds digit of x(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-1) - 3)*-1. Suppose 0 = -t + 7 - y. Suppose -2*s = -t*s, -236 = -4*v - s. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 32*s - 54. What is the hundreds digit of w(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*q - 199046 = 0, -2*v = -0*q + 2*q - 199046. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 - 42) + (120\/8 - 0)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3430 and 560?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 + -4 + 7 - 6) + 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2 + 2. Suppose 0*j + j - 38 = l. What is the highest common factor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2 - 50265736*i - 157915263476356 = 0. What is i?\nAnswer: -6283217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 90760 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 368, 772, 1214, 1712, 2284, 2948, 3722?\n\"Answer: 3*i**3 + i**2 + 380*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48287990 at least as big as 48287990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2241262 - 615?\nAnswer: -2242077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15.241 - -15.36531. Round c to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/9 (b) 1\/4 (c) -246421 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/6105 in -2, 1.3, 2?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3660909311?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17531*d - 9926*d - 44550*d - 16806*d.\nAnswer: -88813*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 200 + -120. Suppose 3*u + 0*u - 4*g = x, 4*g - 144 = -5*u. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 1, s: 1, w: 1, t: 1}. Give prob of picking 1 q and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**5\/15 + 2*a**4\/3 + 8*a**3 - 71*a**2\/2 - 97. Let p(c) be the second derivative of j(c). Suppose p(r) = 0. What is r?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 24 = -4*g. Calculate the highest common divisor of 112 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 102, 124, 166, 234, 334, 472?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3955 rounded to 2 decimal places?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + p + 2. Let j be d(-2). Suppose -o + 56 - j = 0. Does 40 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 94 = 2*h, -25 - 7 = 4*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99)*1 + sqrt(99) + sqrt(99))\/sqrt(3))\/(5*sqrt(1100))*5.\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24581105539 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 1737 and 56356?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, y: 6, b: 5}. What is prob of picking 1 p and 3 y?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(8\/10) + 4 + 4. Suppose -4*r - 2*h - k*h = 13, 14 = -5*r - 4*h. Put 3, 1, r in decreasing order.\nAnswer: 3, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2230*t + 200. Let u(n) = 743*n - 75. Let g(m) = 8*u(m) + 3*y(m). Let c(q) = 5*q**2. What is g(c(p))?\nAnswer: -3730*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.092?\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 193*x - 207*x + 74256. What is the highest common factor of 52 and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 5*o**2 + 2*o + 11. Calculate n(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 + 0)\/((4\/(-108))\/1). Let x be t\/(-36)*(-8)\/6. Suppose 4*a = x*a - 18. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 21 - -16 - 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 28 = 7*r + 3*z, -r + z = 4. Which is the smallest value? (a) -2\/9 (b) r (c) -118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 954 and 3729769?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1444\/5 + 874\/5*q + 2\/5*q**3 - 16*q**2.\nAnswer: 2*(q - 19)**2*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 * 0.4\nAnswer: 50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -205*t - 25. Let s(a) = -17*a - 2. Give 25*s(m) - 2*y(m).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1998.259246 to the nearest 10.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 107\/1095, 0.5, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, 107\/1095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o. Let a(v) = -v + 17. Let n(b) = -8. Let t(r) = 3*a(r) + 7*n(r). Let k(p) = 4*p + 6. Let g(u) = 5*k(u) + 6*t(u). Give -4*g(h) - 2*s(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -30*r - 352. Give x(-9).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w = 245*w - 23*w + 1104 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 43. Let x be (v*(-2)\/(-133))\/((-4)\/(-14)). Which is the closest to -0.1? (a) x (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 37 = 3*t - 0*t, 5*q - 13 = 3*t. Suppose -2*m - 7 = -1, 2*m = 2*o - 18. Calculate the lowest common multiple of 14\/2 - (o + -5) and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1302598*s**2. Let m(f) = 5*f. Give m(b(u)).\nAnswer: 6512990*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from jjxxxmjmx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1569 + -892. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 154, 153, 152, 151?\n\"Answer: -a + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*n + 211812 = -29*n. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -191. Let a = g + -43. Let b(l) = l**2 + 12*l - 38. Let z be b(-16). Calculate the greatest common divisor of z and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*(526*v**2 + 1 + 161*v**2 - 138*v**2).\nAnswer: 2196*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**3 - 2*l**2 + 6. Let t(s) = -s**2 + 1. Let f(r) = 7*r + 20. Let q be f(-3). Determine q*n(u) + 4*t(u).\nAnswer: 3*u**3 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 27*y**4\/8 + 1015497*y**3\/2 + 14216517*y**2\/4 + 16585765*y\/2 + 51599891\/8 = 0.\nAnswer: -150437, -7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 723267.6ml?\nAnswer: 723.2676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9267)\/(-3162) + -1 + 0 + (-158)\/79 and -65\/279.\nAnswer: 9486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18\/13 (b) 0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1abb - 6?\nAnswer: 1ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 7\/(-2 + 1). Let c(l) = 8*l**2 + 4*l + l**2 - 13 - 23. Is c(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325102, -325324, -325546?\nAnswer: -325768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*15\/(-3825)*-17.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2.4. Suppose 3*h - 1 = 4*x, -5*x + 7*h = 9*h + 7. What is the nearest to 0 in k, x, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + v + 212 = 0, -63 = 3*v - 75. Suppose -5*q + 112 = -198. Let a = w + q. What are the prime factors of a?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5870 = -46*r + 43*r, 2*r = y - 2937. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 1\/2 (b) 0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7660, 15121, 22164, 28579, 34156, 38685, 41956?\nAnswer: 43759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -72*a - 127. What is y(-4)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 6:12 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Let l be v(-10). Suppose -l = -3*y + 3. Let h(d) = 2*d**3 - 9*d**2 + 5*d - 5. Let w(j) = j**3 - 4*j**2 + 2*j - 2. What is y*h(k) - 9*w(k)?\nAnswer: -k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*a**2 - 26*a**3 - 202*a**2 + 62*a**2 + 79*a**2.\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 19 = -3*y - 3*k, -5*y + 2 = -4*k. What is the common denominator of 372\/(-18)*1\/y and -37\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 3924.\nAnswer: 66708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.4. Let s = 2.9 + p. Let n = -2.3 - -2. What is the closest to 2 in n, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 585*q - 27482. Give u(47).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 2664?\nAnswer: 93240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.7 + -0.7. Let w = -9 + y. Let s = -0.526 + 0.626. Is w less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7918, -7882, -7892, -7954, -8074, -8258, -8512?\n\"Answer: -x**3 - 17*x**2 + 94*x - 7994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (69 + (-53 - -47 - (-8 + 2)))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 5*p + 6. Let y be g(4). Suppose v + 2*q = -3*v + 16, 4*q - 2 = y*v. Determine c so that -6 + v*c**2 + c**2 + 3*c - c**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*o + 15 = 0, -3*a - o + 14 = -1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 931 = -0*o - 4*o, o + 562 = 3*s. Does s = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10907217 divided by 153?\nAnswer: -71289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 l when three letters picked without replacement from mvlmllvelmlllm.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1447 - -3413. Suppose 8*c - q + 614 = 0. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + 2)\/(3 + -3 + 1). Suppose -5*w - 4*r = -2*w + m, -4*r - 12 = 0. Find the common denominator of (-4 - 62\/20) + (-1 - w) and 55\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604901 to the power of 1\/2, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 372\/17, -2\/7, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7474460.\nAnswer: 2, 5, 7, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from nzzzznzzzzzznzzzzzzz?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-1\/4)*p)\/p))**8\/(p\/p**(2\/7))**(-3))\/(((p\/((p**(-1)*p*p*p)\/p))\/p)**(11\/2))**(-11\/3) assuming p is positive.\nAnswer: p**(-337\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5849 = 301*o + 472 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = 5. Find the first derivative of -19 - m - 2 + 40 - 6*o**4 wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 44. Let o(k) be the third derivative of k**5\/60 - 5*k**4\/12 + 6*k**2. Let u be o(10). What is the tens digit of g(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssessssssssssssesess. Give prob of picking 1 e and 1 s.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8897\/4 - 2224. What is the second biggest value in g, -1\/7, -3, 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -29. Let n = k - -19. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70599191.000154 - -70599093. Let l = 98 + h. Round l to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.123 - 0.1229793. What is g rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 491 - 141 = 0. Let n(v) = -v**3 + 79*v**2 - 77*v - 139. Let j be n(78). Let l = w + j. Calculate the lowest common multiple of l and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 11}. What is prob of sequence prp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 105 - 159 + 0*c - c + 5*c + 2*c as f + w*c and give f.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -11*v - 15. Let c(s) = 20*s + 30. Calculate 6*c(a) + 11*j(a).\nAnswer: -a + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21745 - 17474?\nAnswer: 4271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 9*t**4 - 4*t + 8*t**4 - t**2 as u*t**3 + i*t**4 + d + x*t + v*t**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396, -395, -394, -393, -392, -391?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a century in months?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v + 70. Calculate the lowest common multiple of v and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-120)\/(-720) + (-2 - (-5)\/2). Sort -2, 0.2, w, 0.07 in ascending order.\nAnswer: -2, 0.07, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275953*i - 6110 = -1275888*i for i.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -3\/5, -0.2, 5, 0.5 in descending order.\nAnswer: 5, 0.5, -0.05, -0.2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - k + 7)*(33*k**2 - 9*k**2 + 23*k**2).\nAnswer: -47*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = 16*l - 6 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 32*r + 122. What is j(-2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -8389.9.\nAnswer: -16779.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51341 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -298 + 628. Suppose 220 = -5*d + f. What is the remainder when 127 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 + 88*z = 0. What is z?\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + t - 9 = 0, 105*t = 6*x - 95*t + 204*t + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q**(-2)*q))\/(q**7\/(q\/((q\/(q\/((q*(q\/q**(4\/9))\/q)\/q)))\/q*q))) assuming q is positive.\nAnswer: q**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1. Let m(f) = 7*f - 3. Suppose -6451 + 6446 = 5*r. What is r*m(t) + 2*x(t)?\nAnswer: -7*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/12*(-18)\/8. Suppose -x*a + 3 = -51. What is the highest common factor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(1\/3))**(-5)*(d**(-1)\/d)**17*(d\/(d**(1\/3)*d))**(3\/23)\/(d\/d**(-1))**(1\/17) assuming d is positive.\nAnswer: d**(-49846\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/14 + (-146691)\/(-7). Suppose -p + 419048 = -o. Let m be (-1)\/((-2)\/(-8)) + p. Round m to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/3 - 854*c\/3 + 6076\/3 = 0?\nAnswer: -434, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -72, -64, -44, -6, 56?\n\"Answer: k**3 + k - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, s: 5, d: 4, y: 3}. Give prob of picking 1 y and 1 s.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -462 - 4*k**2 - k + 3*k**3 + 6*k**2 + 460. Let a be y(1). Calculate the remainder when 85 is divided by (-7)\/a*(-344)\/28.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1026 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -18. Solve 2*y + b - 2 = y, -4*y - r*b = -7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27915607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 16*m**2 + 17*m + 3. Let t be k(-17). Solve -i - t + 0 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1007268250 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 2141881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**2 - 18*f - 25 + 25 + 9*f**2. Is m(7) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -231249 and 0.0656?\nAnswer: -15169.9344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -121*f**3 - 3*f**2 - 3*f - 1. Let n(x) = -x - 8. Let m be n(-6). Let u be g(m). Let h = u + 436. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 0*f**3 + 982 - 982.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88) + -2*sqrt(88) + sqrt(88)))*5))*-6*-3)\/(((-1*sqrt(64) - sqrt(64))*1)\/(2*2*sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 13, d: 5}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*p + 25*p - 268. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-5) - (-2)\/5. Let w = -4 + 8. Suppose r - b*r = -w. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z = 81398 - 80985 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63796?\nAnswer: 2, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eae. Give prob of sequence aa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 748 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -1\/10 (c) -5 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u - 11*u + 6*u - 26*u in the form k + x*u and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t - 1207. Let b(f) = -103*f. Calculate a(b(s)).\nAnswer: -1030*s - 1207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1. Let w(h) = 2*h + 5. Determine -2*l(g) + w(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 6:39 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -5599?\nAnswer: -3\/5599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 8:31 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6.5. Let i = 1 - o. Let b = -8.2 - -8. Sort i, b, 3.\nAnswer: i, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 7*p + 21*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -38225*z**3 - 1807*z**2 - 1807. Let v(w) = -127*w**3 - 6*w**2 - 6. Give 6*k(n) - 1807*v(n).\nAnswer: 139*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4054.\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x - 2. Let l be j(2). Let v be (-4)\/l - (-1022)\/(-30)*-43. Let w = v + -1477. Find the common denominator of 69\/2 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (0\/(-1))\/2. Let c = 380 + -1898\/5. Factor -c - 2\/15*o**l - 8\/15*o.\nAnswer: -2*(o + 1)*(o + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14508, 25479, 43764, 69363, 102276?\nAnswer: 142503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 13*m + 6. Give a(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 8. Let j(m) = m**3 - 3*m**2 + k + 0 - m**2 + 7*m. Is j(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(2\/9)\/k))\/k)\/(k**4*k)*k**(2\/9)*k**(2\/15)*k)\/((k**(3\/8)*k)\/(k\/(k**(1\/6)\/k)))**(-16) assuming k is positive.\nAnswer: k**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 536 - 1055 + 535 = -o, 0 = -3*i - 5*o - 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*i - 224*i - 32*i - 105*i.\nAnswer: -456*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.218 * 1595601.\nAnswer: -347841.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(76))**2.\nAnswer: 8*sqrt(19) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5324) - ((-1*sqrt(5324) + sqrt(5324) - sqrt(5324)) + sqrt(5324))*2 - sqrt(5324)*2*-1)\/(-1*(-1*sqrt(100) - sqrt(100))*-5).\nAnswer: -33*sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 28. Let v be 216\/28 - l\/14. Let p(w) = w**3 - 3*w**2 + 8*w + 7. Is p(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062260457.\nAnswer: 3, 769, 460451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 352, 392, 412, 406, 368?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 3*q - 3. Give v(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58720 and 58720?\nAnswer: 58720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26000 and 416?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrzqqqbccqzzqzbqa. Give prob of sequence qrq.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -161*j + 1. Let t(m) = -322*m + 2. Give 11*f(w) - 6*t(w).\nAnswer: 161*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 22 = -2*r + 5*g + 4*g, 5*r + 8*g - 3*g = -50 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, n: 4, d: 2}. Give prob of picking 1 n and 2 q.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -786714, -786712, -786710, -786708, -786706?\nAnswer: -786704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*u + 28*u + 8 + 7*u - 85*u in the form d + h*u and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5 + c - 6 - 2*c + 0. Let t be w(-4). Solve x - 5 + t = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 9*v**3 + v**3 - 1525 + 1498. Let c(l) = l. What is s(c(k))?\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {z: 1, s: 1, o: 4, y: 1, r: 5}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 22. Let c(f) = f**2 + 2*f - 5. Let v be c(-4). Solve u*o = -v*a + 13, 3*o + 9 = -a + 5*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pllpmuluuuullulmllll. Give prob of picking 1 m, 1 p, and 2 u.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 778.4219 days in hours?\nAnswer: 18682.1256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 4*c - 11*c + 16*c.\nAnswer: c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298688?\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(-2 + sqrt(833) + sqrt(833) + -1 + -3)*-2*6)**2.\nAnswer: -1548288*sqrt(17) + 31039488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359219 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 237.63968 and -7.\nAnswer: -1663.47776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 25174?\nAnswer: 50348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d - d**2 + 1 - d**2 + 3*d**2. What is the remainder when i(2) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/13081?\nAnswer: -5\/13081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - b + 9. Let s(f) = f**2 - 1. Calculate -4*s(l) - z(l).\nAnswer: -2*l**2 + l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (-3 + (sqrt(68) - -5*sqrt(68)))) + -1 - (-4*(sqrt(136) + sqrt(136)*2))\/(sqrt(72)*3).\nAnswer: -26*sqrt(17)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 7. Let k be f(-2). Let a(c) = 18*c + 11. Let v(n) = 53*n + 32. Let b(u) = 17*a(u) - 6*v(u). What is the tens digit of b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 36768020 to the nearest 10000.\nAnswer: 36770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by -1.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*p - 66*p - 2*h = 1356, 0 = -p + 4*h + 660. Which is smaller: 674 or p?\nAnswer: 674","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -740*w**2 - 1625788*w - 17576 = 0.\nAnswer: -2197, -2\/185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342718 is divided by 223784.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -516, -1132, -2000, -3126, -4516, -6176, -8112?\nAnswer: -10330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 less than or equal to -19218.94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 13*y**2 + 301*y - 1754. Let t(d) = 44*d**2 + 1003*d - 5847. Let h(a) = -54*k(a) + 16*t(a). Find o such that h(o) = 0.\nAnswer: 6, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -232 (c) 0.4 (d) -3807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 14 - 3*g**3 + 7*g**2 + 4*g**2 - 2 + 7*g**2 - 27*g = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 336*m**3 - 1392*m**2 + 1408*m.\nAnswer: 4*m*(m - 2)**2*(m + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/9)\/(v**(-1\/9)*v)*(v*v**(3\/5))\/((v*v**(-10))\/v) assuming v is positive.\nAnswer: v**(472\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 9*a**4\/4 - 65*a**3 + 987*a**2\/2 + 351*a - 1322. Factor h(w).\nAnswer: 3*(w - 13)*(w - 9)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*c - 68*c + 58 = -6*n + 63*c, -n - 5*c = 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okxosoksok. What is prob of sequence ox?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -101*y**2 - 4*y - 4. Let q(k) = 26966*k**2 + 1067*k + 1067. Let t(w) = -4*q(w) - 1067*u(w). Let h(b) = b**2. What is h(t(v))?\nAnswer: 9409*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -32. Let t = f - 0.3. Which is the nearest to 3? (a) -1 (b) t (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 230, 927, 2088, 3713, 5802?\n\"Answer: 232*k**2 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1695329921 to the nearest integer?\nAnswer: 41174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/25)\/(-1))\/((-19)\/(-6650)*14)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2627400 divided by 4\nAnswer: 656850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -15*o - 216. Let k be (283 + -290)\/(2\/4). Determine p(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 4*z**2 + 3*z - 6. What is the units digit of p(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 5*m + 5. Let w(f) = -4*f - 4. Let t be w(-3). Let d be t\/(-12) + 28\/6. What are the prime factors of i(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -49 + 105671?\nAnswer: 105624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b + 11. Let n(t) = 3*t - 6. Let o(w) = 5*n(w) + 2*x(w). Let y be o(4). Let r be (2\/y*0)\/1. Solve r = 3*g - 4*g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/5 - 228*f**4\/5 + 288*f**3 - 108*f**2\/5 - 12798*f\/5 + 3888 = 0.\nAnswer: -120, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 17 = 4*r, -2*r = z + 16 - 15. Suppose z*v = 2*g + 318, -g + 99 + 228 = 3*v. Do v and 107 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -40044.\nAnswer: -40045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-two fifths of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:43 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(63)*-1 - -6*(sqrt(56)\/sqrt(2) + sqrt(28)))**2*6.\nAnswer: 756*sqrt(7) + 18576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 18, 713?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18813 + 18832. Calculate the highest common factor of 60857 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5*q = -25. Is 3 a factor of 23 + ((1 + 4)\/q - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-2 + 8) - (-1 - 2) - 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 11:44 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 22*r + 170. Let i be t(28). Suppose -239*k**3 - 9860*k - 505*k**2 - 93*k**i + 161*k**2 + 3364 + 227*k**3 - 255*k**2 = 0. Calculate k.\nAnswer: -29, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -70 + -29cc8?\nAnswer: -29d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + -2*sqrt(180))**2.\nAnswer: -2163 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250204784.\nAnswer: 2, 15637799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, n: 2, h: 4, a: 2}. What is prob of picking 2 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008692935 to seven decimal places.\nAnswer: 0.0008693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/21 - 464*a**2 + 19496*a\/21.\nAnswer: -2*a*(a - 2)*(a + 4874)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(2\/9)\/(m*m**(-4\/5)*m*m*m*m\/(m*m**(1\/5))))\/(((m\/(m\/(m*m\/m**3)))\/(m**(-2)*m))\/(m*m*(m**(2\/15)*m)\/m*m**(-1\/13)\/m)) assuming m is positive.\nAnswer: m**(-1189\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(2 - 2 + 1)*(m**2 - 35*m**2 + 2*m**2 + 5*m).\nAnswer: 64*m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/12*5\/100. Let d = 41\/48 + g. Factor d*x + 0 + 2\/3*x**2.\nAnswer: 2*x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24, -0.06, 0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = c - 3*m + 5, 5*c - 3*m = -52. Let q = 25 + c. Let g be (-8)\/(-2) + (1 - 0). Solve 15 = g*z - w, -q = -z - 2*z - w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (-1*sqrt(1900))**2 - 6*(sqrt(1900) - (sqrt(1900) + 0) - sqrt(1900))).\nAnswer: 60*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/12)\/(v*v\/(v\/(v*v*v**(-2\/5))))*(v\/(v\/((v\/v**(-2\/27))\/v)))\/v**(1\/2))**(-3\/2) assuming v is positive.\nAnswer: v**(1589\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Let l(m) = 4 + 0 + 1 - 2*m. Give l(f) - 4*y(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17394381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -3*i + 2\/3*i**3 + 3\/2*i**2 - 27. Let q(j) = -j. Let f(z) = 2*z**2 - 2. Let u(r) = f(r) - 2*q(r). Give 2*s(n) - 3*u(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 22003 - 158639. Suppose -29*h = 5*h - m. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -2 (c) 1\/11 (d) 2 (e) 351\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3567597 divided by -1189199?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 742\/(-318)*12\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54806 + -54806.44047. What is i rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/19 - 67728*h**3\/19 + 744494*h**2\/19 + 9207408*h\/19 + 1083296 = 0.\nAnswer: -4, 19, 33853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1828503?\nAnswer: 3, 17, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1370518cm to millimeters.\nAnswer: 1.370518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 350385459.5 rounded to the nearest ten thousand?\nAnswer: 350390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**3 - f**2 + 7*f - 3. Let h(w) be the first derivative of 5*w**4\/4 + w**3\/3 - 3*w**2 + 3*w + 15. Suppose 214 = -15*n + 319. Give n*h(q) + 6*t(q).\nAnswer: -q**3 + q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 100\/140 + 4\/14\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33.4, 5, 3, 14\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -259*186\/(-6882)*(0 + 3\/(-1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 3 + -6 + 35 + -60?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14, 197, 560, 1103, 1826, 2729, 3812?\n\"Answer: 90*m**2 - 87*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 96, 0 in ascending order.\nAnswer: 0, 23, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30737 divided by 7?\nAnswer: -4391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2087.643ml to litres.\nAnswer: 2.087643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {c: 1, j: 1, d: 1, e: 1, o: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 + 0\/3. Let j = 0 - -2. Which is the closest to 1? (a) 3\/2 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 + 0*u**3 - u**3 + 0*u**2 + u**3 - 3*u**3 + u**3 + (u**3 + 0*u**3 - 3*u**3)*(-1 + 5 + 0).\nAnswer: -10*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53550 - 46818 = -72*p. What is the remainder when p is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let v(w) be the second derivative of 11*w**6\/720 - w**4\/6 - 27*w**2\/2 - 83*w. Let a(r) be the third derivative of v(r). What is a(g(m))?\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 2, 3 in descending order.\nAnswer: 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002674731 rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 3 - 2)*(o**3 - 2*o**3 - 1 + 2*o**3).\nAnswer: -18*o**3 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 46.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**5\/10 - 92*s**4\/5 - 1381*s**3\/10 - 1492*s**2\/5 - 424*s\/5 = 0. What is s?\nAnswer: -53, -4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y - 9. Let n be l(8). Suppose -x = 2*s - 4, s + 0*s + n = 3*x. Calculate the lowest common multiple of x and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (12 + -3 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and -104816?\nAnswer: 167705.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 112120121111112 (base 3) in base 12?\nAnswer: 2717588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6389 + 7844 - 12857)*(4*i**3 - i**3 - 2*i**3) to f*i**3 + l + s*i**2 + c*i and give f.\nAnswer: 1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200 + 134. Let x = 305 - 142. Let r = x + d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/r)**(-39)\/((r\/(r**(-2\/9)\/r))\/r*r**(-3\/4))*(r\/r**(-3\/4)*r\/r**(-4\/3))\/((((r\/r**(-5))\/r)\/r)\/r**(-2\/5)) assuming r is positive.\nAnswer: r**(4843\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 3*a**2 + 2*a - 3. Let v be b(3). Suppose -v*x - 9 = 0, 2*k - 3*x + 721 = -1500. Let w = k + 1566. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02877 rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221202 - -1000?\nAnswer: 222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - 814\/8 - (-3)\/4. Let d = -93 - b. Let z(y) = 3*y - 1. Let h be z(1). Solve h*f - d = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6}. What is prob of picking 3 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110010111010001011010 (base 2) to base 3.\nAnswer: 200220221022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, 2, 33, 100, 215, 390, 637, 968?\n\"Answer: 2*k**3 - 7*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.041275 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**3 + 252*m**4 - 258*m**4 - 3*m**2 - 2*m**3 + 4*m**2 as t*m + i*m**2 + q*m**4 + k + d*m**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -816?\nAnswer: 816.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1*z**(-2\/37)*(z**(-1\/2))**(-13\/2))\/(z*z**(-2\/23)*z*z*z**(-8)\/z*z**(1\/2)*z**(-9)) assuming z is positive.\nAnswer: z**(63937\/3404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -93*m + 4. Is l(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 7. Let l be 50\/(-12) - 175\/(-1050). What is the fourth smallest value in l, -1\/6, a, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from facccaacaa. Give prob of sequence cc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4405 - -8755. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3570053881 to the nearest 1000000.\nAnswer: 3570000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4497\/155 - 0) + -35851 + 35822?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1.56282 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*b*j**2*o - 2*b*j**2 - 5*b*j - 68*b*o + 3*b + 2 wrt j.\nAnswer: 16*b*j*o - 4*b*j - 5*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.009 + -0.0016. Round h to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 + 177*i + 72. Let n be o(-35). What is the greatest common divisor of 22 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50306 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2. Suppose 0 = 3*c - 6, -3*s + 3*c - 2*c = -4. Let n(i) = 2*i - 135*i**2 - 2*i + 126*i**s. Give n(a(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.7088427 - -1028669.\nAnswer: 1028659.2911573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -9, -1\/10, -266, 1\/27?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 221*l - 223*l - 327*l + 49*l.\nAnswer: -722*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6579, 13156, 19733?\nAnswer: 26310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*g - 3*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2*(-27)\/(-27))\/(2\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700047195.\nAnswer: 3, 5, 283, 164911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/((-7)\/3). Let u = -2.16 - -2.36. What is the second biggest value in u, 0, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r. Suppose 2 = -v - r, 0 = -3*m - 3*v - 72. Let k = m + 59. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -645 - -635.643. Let c = -0.043 + q. Round c to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*z**2 + 356*z**4 - 734*z**4 - 546*z**4 + 41*z**2 + 104*z**2 wrt z.\nAnswer: -22176*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 3, -2, -4 in descending order.\nAnswer: 9, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0525 - -0.1975. What is the nearest to 0 in -2, u, -2\/25, -3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8))**(-43)*(p**1\/p)**(-4\/21) assuming p is positive.\nAnswer: p**344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 13, 9, 5, 1, -3?\n\"Answer: -4*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3482.72 and 0.03.\nAnswer: -3482.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.6 - -5.6. Let y(h) = h + 1. Let k be ((-25)\/10 + 2)*12\/1. Let f be y(k). Which is the nearest to i? (a) f (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -300 - 466 - q - 121 + 32 + 6748*q**4 - 473 wrt q?\nAnswer: 80976*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17888 divided by -208.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzoo when four letters picked without replacement from czcczoczczcczcoc?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.7, 160\/13, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*a + s + 2*s, 4 = 5*a - s. Suppose a = 2*y - 39 + 5. Suppose -4*b = -51 - y. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.75 - 1.05. What is the biggest value in w, -1, -0.57, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 0 - (-8 + (-10 - -23))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 356 + 144. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, q: 2, x: 2, r: 1}. Give prob of sequence xa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 149\/(-298)*(15 + 1 + -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 12 - 4 - (5 - -34)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 482.1285mm?\nAnswer: 0.0004821285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*t - 6 - 3 - 11*t)*(-t**2 - t + t) to w*t**3 + i*t**2 + u + d*t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25642 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7376 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 24*v**2 + 3*v + 4. Let k be i(-6). Let t = k + -7675\/9. Calculate the common denominator of ((-16)\/(-96))\/(36\/232) and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 11. Let z be (-2)\/(-4) + (-35)\/(-2). Let d be 1\/(-4) - z\/w. Solve -d*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*j - 10, -4*z - 2*j + 4*j = -12. Factor 3*n**5 + n**2 - 4*n**2 - 3*n**z - 6*n**4 + 9*n**3.\nAnswer: 3*n**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(3*sqrt(10)) - (sqrt(119)\/sqrt(175) + sqrt(17))) + ((-1 + sqrt(1700))*5)**2 + 0 + -2*sqrt(1700).\nAnswer: -7813*sqrt(17)\/15 + 42525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m - 313. Calculate w(20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**4\/24 - y**3\/6 + y**2 + 30*y. Suppose -5*s + 10*s - 21 = 3*g, 0 = -4*g + 2*s - 14. Determine q(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7.6, -35793, 4, 0.5, 1.8 in decreasing order.\nAnswer: 4, 2, 1.8, 0.5, -7.6, -35793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*l - 127*l + 439*l - 129*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 25, -127 - 73 = -5*n + 5*q. Calculate the lowest common multiple of (112\/n)\/(4\/10) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2037, 3045, 4053, 5061?\n\"Answer: 1008*a + 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 z, and 1 n when four letters picked without replacement from {y: 4, n: 3, z: 3, r: 3}?\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2. Let q(i) be the second derivative of -i**6\/90 - 7*i**3\/6 - 7*i. Let r(n) be the second derivative of q(n). Determine r(v(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 41, 39, 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/329 and 56\/2590029.\nAnswer: 18130203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14714837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.48 - 0.48. Let h = 110 - 441\/4. Which is the third biggest value? (a) k (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**4\/2 + 1066*p. Let d(j) = 49*j**2. Calculate d(h(z)).\nAnswer: 1764*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 104*m + 5*m**3 - 106*m - 4*m**3 - m**4 + (m**2 - 5*m**2 + 2*m**2)*(-4*m**2 + m**2 + 2*m**2).\nAnswer: m**4 + m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -145220 to the nearest one thousand.\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*i - 50. Let u(o) = -2*o - 29. What is u(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**3 + 2*t**2 - 5*t + 2. Let o(n) = -n**2 - 1. Give j(p) + 2*o(p).\nAnswer: -4*p**3 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120.2 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1155\/105*3\/(((-30)\/18)\/5)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 23*v + 54. Calculate k(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -206?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -2*k**3\/3 + 3*k**2\/2 - k + 8. Calculate c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2423 and 2423 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwddsnddddddwwwwnd. Give prob of sequence ws.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7623 and 417773433?\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*o = -58, -2*m = o - 4*o - 95. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 35 = -157. Is 61 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*x + 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-6)\/(-4))\/(-1))\/(-3). Suppose -3*g + 15 = 4*l, 0 = l + g + 6 - 11. What is the nearest to l in c, 4, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 + 0.06. Let j = -2.06 - r. Let d = j - -1.99968. What is d rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from hhhhhhhhdhhhd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61283150, -61283149, -61283148, -61283147, -61283146, -61283145?\nAnswer: -61283144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 466187 to the power of 1\/2, to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37696, 37715, 37734, 37753?\n\"Answer: 19*b + 37677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 35 = c, 2*q - c = 37 - 56 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39200695.\nAnswer: 5, 67, 117017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00612177 rounded to 4 decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 164\/(-10)*(-8 - -3). Suppose 2*n - 58 = w. Let b = -36 + 50. Calculate the greatest common factor of b and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6429 = -3*v + 8*y - 7*y, -2*v - 3*y + 4286 = 0. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973176 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9948.81 micrometers?\nAnswer: 9.94881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t**2 - 57*t + 59*t + 25*t**2.\nAnswer: 10*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -33\/430 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-95 - 73) + 68.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -602, -844, -1086, -1328, -1570?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 150*c**2 + 291*c + 1984. Determine h(152).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(9\/2))\/(q*(q*q*q**(-1\/10)*q*q*q)\/q)*q\/(q\/q**(-1\/6))*q*q*q\/((q\/q**(-8))\/q))**(1\/28) assuming q is positive.\nAnswer: q**(-407\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/37)*w)\/(w**22\/w) assuming w is positive.\nAnswer: w**(-742\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 465526 to the power of 1\/2, to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1951, 3935, 5923, 7915?\nAnswer: 9911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 9*f**3 + 2*f**3 + (2 - 3 + 3)*(-2*f**3 + 0*f**3 + 0*f**3) + (3*f**2 + 3*f**2 - 3*f**2)*(1 - 1 - 2*f) to b*f + h + v*f**3 + w*f**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 66012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + p + 5 = 0, 0 = -w + 4*p - 2 - 0. Suppose -w*z - 10 = 0, 3*b + 2*z = z + 85. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 59. Sort 3\/8, w, 18, -2\/3.\nAnswer: w, -2\/3, 3\/8, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Let v(p) = p**2 + 9581. Give v(q(l)).\nAnswer: 4*l**4 + 9581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 1241 + 455. Let y(c) = c**3 - 211 + d + 0*c**2 - 4*c**2. What is y(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05229*3.\nAnswer: -0.15687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808122 is divided by 5943?\nAnswer: 5817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 1. Let u(o) = -1625*o - 6*o**2 - 3 + 1625*o + 4*o**2. Determine -12*b(a) - 4*u(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 0*w + 0*w)*(1902*w**2 - 864*w**2 - 928*w**2).\nAnswer: -220*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 2 (c) 0.092\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/15 + (-74)\/(-185)*-35?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24370225 * -1\nAnswer: 24370225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.006972191 and -0.5.\nAnswer: -0.493027809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.82 in 1\/3, -2\/11, 0.1, 7, 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277857407?\nAnswer: 379, 733133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -241130124 (base 5) to base 12\nAnswer: -458aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 403595041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 777 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) 5\/2 (c) 24\/5 (d) 1\/9 (e) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o. Let d(c) = c. Let r(k) = 10*d(k) + 2*m(k). Let v(x) = -4*x**2. Give r(v(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15972 times -0.225\nAnswer: 3593.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100011 (base 2) to base 11.\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 50. Suppose m*s = 6*s + 48. What is the second derivative of -32*q**3 - 14*q - 6*q - s*q + 6*q wrt q?\nAnswer: -192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -146 + 162. Solve x + 6 = 1, -5*x = 3*i + w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 + 139. Which is the smallest value? (a) 0.3 (b) -2\/13 (c) -2\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -49687782 from -36089.6.\nAnswer: 49651692.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/80 + 11*x**4\/24 + 10*x**2. Let b(p) be the second derivative of u(p). Let a(l) = 2*l. Calculate a(b(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 1, s: 1, g: 1, a: 1}. What is prob of sequence aus?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 464946615 and 4725.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-21))\/(10\/7)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/3 - 380250*v + 21688509375.\nAnswer: 5*(v - 114075)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*-5 - 2 - -4 - -3. Which is the third smallest value? (a) w (b) -1\/8 (c) -0.4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**3*i*i)**(6\/31))**(-24) assuming i is positive.\nAnswer: i**(-864\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + 3 + -4 + 8 + -13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from bnbnbsnolblw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1013, -3302, -6885, -11762, -17933, -25398, -34157?\n\"Answer: -647*s**2 - 348*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 550127 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w. Let y(j) = -3*j - 6. Suppose c - 2*k = 1, 3*k = 4*c + 2*k + 3. Let m(g) = 1. Let n(u) = c*y(u) - 6*m(u). Give q(n(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)*z*z\/(z**(-7)\/z))\/(z**(-11)\/(z\/(z\/((z\/z**(-4))\/z*z)))))**(1\/16) assuming z is positive.\nAnswer: z**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-320))\/(3*(-5)\/(-25)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m - o + 4 = 0, -3*o = m - 12. Let q(w) = -w**3 + 6*w**2 + 54*w - 314. Let s be q(6). Solve 3*g + 4 - s = m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h + 21. What is the first derivative of -17 + h - 6*q**2 - 12 wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 2, -24.1, -209, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 5*p + 3. Let n be z(-4). Let t(x) = -4*x**2 - 11*x - 10 + 9*x**2 - 9. Is t(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 169.283?\nAnswer: 168.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29058764600 rounded to the nearest 1000000?\nAnswer: -29059000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292 is divided by 348.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9606.924 kilograms?\nAnswer: 9606924000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.9 or 3834250?\nAnswer: 3834250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -7 - 3, 3*l - 4*j - 74 = 0. Let w be l\/6 - 80\/120. Solve 4*b = 7 - w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*t + 3. Let o(k) be the second derivative of 0*k**2 - 1\/24*k**4 - 1\/60*k**6 + 0 + 1\/20*k**t + 0*k**3 - 3*k. Factor o(i).\nAnswer: -i**2*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230522?\nAnswer: 2, 79, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-4)\/b)**(-1\/10))**18 assuming b is positive.\nAnswer: b**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/21*66*224\/384.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4643263019?\nAnswer: 19709, 235591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -334123 divided by -47\nAnswer: 7109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1790 - 1400. Calculate the highest common divisor of 150 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 86*w + 1346. Let m be k(66). What is the greatest common divisor of m and 1027?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (5 - 8) + -18 + 11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -221 - 141 + 1808*i + 366 as k + u*i and give u.\nAnswer: 1808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/8 - 1) + (-39)\/12. Suppose -2*q - q - 144 = 0. Is 1\/i + (-10720)\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 46. Let f = n + 26. What is the closest to 1\/3 in f, 0.3, 1\/10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -3, 9, 37, 87?\n\"Answer: g**3 - g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -58.\nAnswer: -58.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51939*p**3 + 735*p + 719*p - 1454*p.\nAnswer: 51939*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 77. Let w = r + 6. Let a = w + 95. Calculate the highest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9943 is divided by 82?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373260 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -7583, 1382, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:11 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 64929?\nAnswer: -5\/64929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -281*s**2 + 2*s. Let l be v(2). What is l rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/4 + 19*m**3\/4 + 17*m**2\/4 - 19*m\/4 - 9\/2 = 0.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9606 or -9605?\nAnswer: -9605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288, 272, 268, 282, 320?\nAnswer: 388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 4885*s**4\/12 + 45*s**3\/2 - 4*s**2 - 5605*s + 1. Find the second derivative of n(f) wrt f.\nAnswer: 9770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011 (base 2) to base 10\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4904666 and 6084.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44219670?\nAnswer: 2, 3, 5, 11, 133999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10)*-1*-60*(-30)\/(-145260)?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1681421917339295\/26296 - -63942117321. Let m be (-4)\/18 - ((-98070)\/88749)\/5. Let s = i - m. Calculate the common denominator of s and 27\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106 + 107.01. Let b = -73.085663 - -74.09566243. Let f = b - g. Round f to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 3, z: 1, h: 2}. Give prob of picking 2 u and 1 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -15*o**3 - 6*o**2 + 37*o - 54. Calculate n(-5).\nAnswer: 1486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*h + 350926 = -1703014. What are the prime factors of h?\nAnswer: 5, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39178.36 * 0.4\nAnswer: -15671.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -9\/4, -1\/2, 0.0181?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-3 + 2)) + -1. Let s be q\/2 - (-6)\/2. Solve -a = s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**5\/60 - 4*b**2. Let o(p) = 7*p**2. Determine o(g(i)).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 5 - 5 + 2*c + 1762*c**5 - 765*c**5 - 869*c**5 + (c - 3*c + 3*c)*(-c**4 - 2*c**4 + c**4) - 3*c**3 - c**5 + 3*c**3.\nAnswer: 126*c**5 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p + 3. Let g(n) = -6*n. Calculate g(j(h)).\nAnswer: -36*h - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-44) + (-54)\/11 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swvqgwsswswwqpq. Give prob of sequence qws.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32515 and 6328.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*p - 10*v + 7*v, 3*p - 3*v = 42. Let h(l) be the first derivative of -7*l**2 + 8*l + 1\/2*l**4 + 4\/3*l**3 - p. Suppose h(s) = 0. Calculate s.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 18 = -2*m + 3*v, 1 = m + 4*v. What is the common denominator of (-4 - m) + 267\/24 and 13\/57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 + 12*h - 51. Calculate x(-8).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3, -3*t + 30 = -3*k - 18. Suppose -4*x + t = -9. Suppose -p = -c + x - 15, c - 61 = -4*p. Solve 2*j - v = 6*j + 17, -4*j = -2*v + p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5095034891.\nAnswer: 5095034891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyoo. Give prob of picking 4 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {n: 8, e: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290754236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = 3*s, -s = 8*m - 6*m - 9. Let f be ((-3)\/2)\/(m\/4) - -22. Solve o - 24 = -5*u, 3*o - 2*u - f = -4*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 - 6559*v\/6 + 1093.\nAnswer: (v - 6558)*(v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 734182.1 centuries?\nAnswer: 881018520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1204548, 2409095, 3613642, 4818189, 6022736?\n\"Answer: 1204547*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/((-11)\/(-11)))\/(2\/((-16)\/12))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 4, -3\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2399\/3, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7113 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -50543120 (base 6) in base 12?\nAnswer: -597aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/4*20\/140. Let h = -26.054 + 0.054. Let g = 21 + h. What is the closest to 3\/5 in a, 1, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76611, 153220, 229829, 306438, 383047?\n\"Answer: 76609*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -741.\nAnswer: 1\/741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.1, -2\/15, -5\/2, -5, 15.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**3 + n**2 + 43*n - 35. Let z(q) = -5*q**3 + q**2 + 42*q - 42. Give -6*h(l) + 5*z(l).\nAnswer: -l**3 - l**2 - 48*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k**2 - 20 + 49 + k**2 - 31 - k in the form z*k + p + y*k**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 o when three letters picked without replacement from {w: 6, o: 4, c: 5, x: 4}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798 and 122801826?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 - -104. Calculate the remainder when w is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433, -431, -427, -421, -413, -403?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -241130.49+-0.06\nAnswer: -241130.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5191.048 * 3\nAnswer: 15573.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 8*h + h**2 + 10 - 4*h. What is the least common multiple of n(8) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.16 - 0.84. Let p = 0 - v. Which is the third smallest value? (a) p (b) 4 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1995, -2288, -2581?\n\"Answer: -293*f - 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -2*a - 4*w, 70*a - 14*a = -2*w - 1410 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q - 3011 = 1936. Calculate the smallest common multiple of q and 9.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4133, -10954, 0.3 in ascending order.\nAnswer: -10954, -5, 0.3, 0.4133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-240)\/1100)\/((-4)\/88).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 3*y - 7. Suppose -6*j + 66 = 30. What is the tens digit of m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33a (base 12) in base 5?\nAnswer: 3403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 8*o**2 + 5*o - 1. Let k be p(8). Let s = -18 + k. Suppose 4*y - 18 = -2*x, s = x - 0*x - 4*y. Solve -x = -4*f + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 0*v + 48. What is the highest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3062 - 749. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*s - 19, 34*s + 15 = o + 35*s. Solve 5*x = r + o, r - 2*r = -3*x + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/2 of a litre?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 410212 times -0.9\nAnswer: -369190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(26\/(-39))\/((-70)\/45)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**8\/6720 + m**7\/630 - m**6\/240 + m**5\/30 + m**4\/12 + 5*m**2. Let r(t) be the second derivative of u(t). Calculate r(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m\/m**(1\/4)*m)))**(5\/12)\/((m**(-4)*m)\/(m**6\/m)) assuming m is positive.\nAnswer: m**(439\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*v, 5*v - 3*v = -3*d + 389. List the prime factors of d.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 15. Let s be d(-3). Suppose s = 3*u + 4*n - 3, 5*u = -4*n + n - 6. Does 3 divide ((-21)\/(-6) + u)\/(1\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 5 (c) -0.4 (d) 4\/5 (e) 79 (f) -0.0414\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 21 = -t, 3*a - 4*a - 7 = -5*t. Let j(i) = -3*i**3 - 7*i**2 + 12*i - 10. What is the hundreds digit of j(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 2115\nAnswer: 211.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**4))\/p**(-4))**(-43) assuming p is positive.\nAnswer: p**(-344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 111. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.33911 * -0.4\nAnswer: 1.335644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:24 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(76) + 1 - (0 + sqrt(76)*4 + sqrt(76))) + 1)**2.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 595 - 21. What is the greatest common factor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26706630 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 11*j**2 - 12*j + 40. What is d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1*3\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*y - 35*y - 32*y + 101*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -22. Let d = 24163.424 + -24181.4239965. Let o = b + d. What is o rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 12 - 13)*(-4*w + 2*w + 0*w) - 2 + 2 + 2*w + (-13 + 1 + 4)*(2*w + w - w) as o + n*w and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3078119*n + 1458297*n + 5839655*n.\nAnswer: 10376071*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -6, -104 in ascending order.\nAnswer: -104, -6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278034 and 8037954.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = 4*k - 6*f + 188, 2*f = 0. Let g = -45 - k. Solve -g*q + d - 5 - 1 = 0, -2*q - 3*d = -2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -164 + 23. Let o = h + 317. Let w = o - 123. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*g**2*x**5 + 186*g**2*x**2 - 300*g**2 + 22*g*x**3 + 3*x**3 wrt x?\nAnswer: -3480*g**2*x**2 + 132*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 11*t - 78. Solve -4*h + 9*h + 18 = -4*c, -4*h - t = -c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/56 and -27\/284.\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 203\/4. Let g be (2\/7)\/(21\/(-147)). Which is the fourth biggest value? (a) -4\/15 (b) n (c) g (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgco when four letters picked without replacement from {r: 1, g: 1, o: 2, c: 1, i: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/149 and 25\/180439.\nAnswer: 180439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 11*r - 312. Suppose -r - 3 = 3*o. Is 14 a factor of 45 + 2 - o\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/671876 and -101\/828.\nAnswer: 6046884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09035 - 0.094727. What is m rounded to 4 dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*w - 61093 - 42267 = 1715*w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*((sqrt(2736)*2)**2 + sqrt(2736) - sqrt(2736)))*2 + 1.\nAnswer: -131335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*u + 6 = -u, -3*j + 35 = 5*u. Suppose 2*g - 51 = j*y, 2*g + 5*y - 2 = -1. Calculate the remainder when g is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -4 - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3851279*k**5 - 12935382*k.\nAnswer: 77025580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 134358 + 134526 = 0 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 62*u**2 - 264*u + 41. What is i(66)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/2025*-9)\/(1\/3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 40824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1659.87 - -1624. Let s = -0.87 - n. Let d = -34.9 + s. What is the third smallest value in d, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7304 (base 9) to base 3.\nAnswer: -21100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 648 and 918.\nAnswer: 11016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, g: 2}. Give prob of picking 2 m and 1 g.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 12*w**4 - 13*w**2 - 3*w + 1. Let g(p) = -p**4 + p + 1. Let h(d) = 6*g(d) + 2*n(d). Let h(t) = 0. Calculate t.\nAnswer: -1, -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 v when three letters picked without replacement from {r: 1, t: 2, v: 3, k: 1, s: 1, c: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192489)\/(-13815) - (-129)\/(-9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 6*d - 8. Let h be p(7). Let j be 10*-2*h\/4. Let t be 1 - -2 - (3 - j). Solve 35 = -0*o + 5*o - t*r, -2 = r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*p + 0)*((1 + 0 - 3)*(-4 + 0 + 2) + 2 - 2 - 2 + 36 - 8 + 71)*(-2 + 3 + 1).\nAnswer: -404*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-7 + (-10 - (4 + -5)) + 9)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l + l**2 + 3*l**2 - 3*l**2 + 5. What is the remainder when c(-10) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d. Let m be (-1 - (-26)\/6)\/((-4)\/(-138)). Suppose 0 = -5*c - w + 2*w + 220, 3*c = 4*w + m. Let v(y) = -c + 45 + 2*y. Determine v(g(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26*((-6)\/21 + (-50)\/(-28)). What is the greatest common factor of z and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -84*k**2 + k + 112*k**2 + 313*k**2 - 4*k + 298*k**2 = 0.\nAnswer: 0, 1\/213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*v - 5575 = 271 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 11*j + 381. Give p(-21).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.06 or -14?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 14*o + 1. Let s(t) = -60738*t - 4966. Calculate -4966*l(p) - s(p).\nAnswer: -8786*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 4:05 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*((-6)\/(-1))\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230 + 114 + 116 + 3*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0*p**(-6))\/(p**(2\/7))**(-2\/7)*(p**(2\/7))**(-23)\/(p\/p**(1\/3)*p**(-1)\/p*p) assuming p is positive.\nAnswer: p**(-1640\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 10:55 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from {e: 2, v: 13, j: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 897?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-25)\/(-6))\/(9\/72)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 248 - 158. Suppose c = -4*z + 694. Is 40 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76553 (base 10) in base 14?\nAnswer: -1dc81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3144 and 1503356?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 6, n: 3, u: 1, q: 1, i: 2}. What is prob of sequence uqi?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 22*l - 22*l)*(-2 + 0 + 3) + (-38*l - 404 + 404)*(11*l - 31*l + 13*l)*(-3 + 0 + 1) - 4*l**2 + 5*l**2 - 3*l**2.\nAnswer: -539*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 4*s**6\/3 - 53*s**2\/2 + 56*s + 55. Let a(l) be the first derivative of v(l). What is the first derivative of a(f) wrt f?\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 12:14 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -144 or -12337\/85?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(3024\/1446) + -1 + -13)*2\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 7 + 6)*(18*w**3 + 12*w**3 + 4*w**3 + 21*w**3).\nAnswer: -825*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 20455 + 20455. Let n(m) = 29*m**2. Give n(r(y)).\nAnswer: 116*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m - 2. Let k(r) = -57*r + 13. Suppose 22*y + 5 = 17*y. Let x(w) = y*k(w) - 6*u(w). Let l(s) = -s + 0*s + 2*s. What is x(l(v))?\nAnswer: 27*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/111 (b) -5.75 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -25657.\nAnswer: -25657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:18 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 761341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1522 - -1523. Solve -k + b = -2*z, 8*z - 3*k + 1 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = r - 3*f + 12, -11 = -2*r - f. Suppose m - 2060 = -r*m. Suppose -5*v + 1695 - m = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254*l*z**3 + 7194*l*z**2 - 604*l - 1792*z wrt z.\nAnswer: -1524*l*z + 14388*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4640 + -4640.1. Which is the closest to -0.15? (a) 0.5 (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13443 (base 5) in base 10?\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10171355 to the power of 1\/2, to the nearest integer?\nAnswer: 3189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 4*d**2 + 2*d - 12. Let a be y(-5). Suppose -3*w - 2*k + 355 + 178 = 0, -528 = -3*w - a*k. List the prime factors of w.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/379 and 19\/24?\nAnswer: 9096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 1, 4*v + 2*u + 11 = -67. Let y = v - -37. Suppose -13*a - 50 = -y*a. Solve 4*t - a = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 590*m**2 + 572*m**2 - 5*m**3 - 1131*m**2 in the form s*m**2 + a + i*m**3 + g*m and give s.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 98764.71mg in kilograms?\nAnswer: 0.09876471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 1. Let r(n) = 4*n. What is o(r(b))?\nAnswer: 8*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79c87 (base 14) to base 2.\nAnswer: -1001000010010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 4*d. Let q(t) = -t**2 - t. Let i be ((-1)\/2)\/(3195\/(-400) + 8). Let w be 4 - (i\/(-4))\/2. Determine w*q(r) - a(r).\nAnswer: -r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(4*b**4 + b**4 - 3*b**4) + 1 - 4527*b**4 - 5*b**3 + 4532*b**4 + 1 + (-1 + 4 - 2)*(-4*b**4 + 3*b**4 - b**4).\nAnswer: -3*b**4 - 5*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 46. Let k be ((-3)\/2 + s)*(2 + 0). Suppose -6*n - 8100 = -k*n. What is n rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 2*m + 4*o, 0 = -2*m - 2*o + 17 + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 146*y - 136*y. Suppose -5*i = f - 4253, -7*f = -y*f + 3*i - 12771. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/4*(-192)\/120)\/((-10)\/145).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 423744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -3 (b) -4 (c) 2\/9 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 32552?\nAnswer: 97656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7419 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whhe when four letters picked without replacement from {e: 3, w: 2, h: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4735292 and 989464.\nAnswer: 66294088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12062546 a multiple of 1229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (26\/2 - 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 50*r + 26. Let y be l(3). Suppose 5*g - 249 = y. Let t = g + 43. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273527649217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(80))\/sqrt(5) + sqrt(400)*2)\/((-1*sqrt(64)*1)\/sqrt(8)))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 18*u + 6. Suppose -u*t + 29 = -67. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -936 * 225\nAnswer: -210600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103715 by -5.\nAnswer: -20743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 + 1093*h**3 - 8701*h**2 + 22803*h - 19530.\nAnswer: -(h - 1085)*(h - 3)**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 48*t - 8. Let k be z(-25). What is the first derivative of -u**3 + 4*u**4 - 43*u**4 + 8*u**4 - k wrt u?\nAnswer: -124*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (18 - (14 + -2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 15. Let x(z) = 3*z - 23. Let a be x(11). Solve -v = -2*q + 7*q - s, -4*v + 5*q - a = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55129 is divided by 678?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l - 4. Let k(g) = 25*g - 18. Let a(y) = -18*b(y) + 4*k(y). Let s(i) = -5*i**2. What is s(a(r))?\nAnswer: -320*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 366 (c) -3\/5 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(7\/4)\/o))\/(o\/(o*o\/o**13)) assuming o is positive.\nAnswer: o**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.3 + 4. Let o = -229 + 225. What is the smallest value in o, a, 2.9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-2 + (10 - 2))) + (581 - 567)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - l**2 + 10. Suppose -2 = -s + 1. Let a = 3 - s. What is the least common multiple of i(a) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5554196113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 34*l**2 - 14*l**2 - 10*l**2 - 7*l**2 - 18*l**2. Let p(r) = 41*r**2. Determine p(z(m)).\nAnswer: 9225*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, f: 13}. Give prob of picking 2 q.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -28. Is 0 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 91*a*f**3 + 415*a*f**2 + 2*a + 111450*f**3 - 408*f**2 - 1 wrt f?\nAnswer: 546*a + 668700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 12. Let w be o(-15). Suppose w*d - 17 = -m, -m + d - 10 = -47. Calculate the remainder when 189 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 54. Suppose -j*r - 5 - 619 = 0. Let v be 11\/13 + (-12)\/r. Solve v = 3*b - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2467?\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = x - 2, -6*r + 3 = -4*x - 7*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = -16. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j - 4. Let y be u(3). Let l(f) = -2*f**2 - 2*f. Let q be l(-1). Suppose -y*h + 3*h + 15 = q. Which is the nearest to -1\/4? (a) 2 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524928571 to the nearest integer?\nAnswer: 22911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202 is divided by 201.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36407, 72945, 109483, 146021?\nAnswer: 182559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 68 = 2*j, 2*j + 0*j - 2*p - 66 = 0. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 104\/18*(-27)\/(-99). Let y = -10\/11 + n. Solve y*r - 8\/3*r**4 + 6*r**3 + 0 - 4*r**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.05\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2 + 2 + 2 + 1 + 15*d. Let b be l(-3). Let p = -6 - b. What is the greatest common factor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 741 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + -5 + -5 + 5. Let j be 5\/(1 + 0) + -1. Sort -2, j, c in decreasing order.\nAnswer: c, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 2*x + 63. Let b = -27 + 27. Calculate the remainder when a(b) is divided by (-6)\/(-2) + 12 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**2 + 26*b + 5. Calculate g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 15\/5) + -2 + 40\/(-16). Which is the biggest value? (a) 2\/7 (b) 1 (c) v (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -90*m + 112*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1093 - 443. What is the highest common factor of 50 and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -17 + 0 + 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -9.36 (b) -1\/5 (c) -3 (d) 2\/5 (e) -2\/7 (f) 23 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.59 and 64?\nAnswer: 229.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 152220 divided by -38055\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 32.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5676 divided by 11.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(30)\/(1*sqrt(6)) - 6*(sqrt(80) - sqrt(5)))**2.\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22546, 22581, 22616, 22651?\n\"Answer: 35*h + 22511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1) + (6\/18 - 1)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6675, 6667, 6659, 6651, 6643?\n\"Answer: -8*f + 6683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 0, 821517 in ascending order.\nAnswer: -4, 0, 4, 821517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -60. Suppose -4*o + 2*o - 2 = 5*u, 4*u + h = -3*o. Factor 0*g + u - 2\/5*g**2 + 2\/5*g**5 + 6\/5*g**3 - 6\/5*g**4.\nAnswer: 2*g**2*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*l - 186287 = -48806 + 13496. What is the highest common divisor of 102 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 17040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -24*n - 73. Let v be z(-5). Suppose v*h - 35*h - 2100 = 0. Calculate the highest common factor of 100 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -92, -30, 74, 220, 408?\n\"Answer: 21*z**2 - z - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 132\/18)*-3. Which is the third biggest value? (a) 3\/4 (b) 0.049 (c) 4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -27 - -17) + (-16 - 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y**4 + 6075*y**3 - 3181 wrt y?\nAnswer: -4*y**3 + 18225*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33792\/56)\/(-12) + -10 + 5 + 10\/35.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1 - 7 + 0 - 29*t + 7. Suppose 2*m = -a - 6 - 3, 2 = 2*a - m. What is the units digit of i(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -541805*0.7\nAnswer: -379263.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165 - (-6860)\/42)*(-54)\/(-70).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 1775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 3*f - 3. Suppose -28*x + 333 = 25. Let g be x\/(-33) + (-8)\/3. Let p(h) = 3*h**2 - 5*h - 5. What is g*p(y) + 5*l(y)?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 - 1.66. What is t rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7555.\nAnswer: -15110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 634.77 rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 635955.6 micrograms?\nAnswer: 0.0006359556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*s**4 + 17*s**2 + 292*s wrt s?\nAnswer: 276*s**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 9. Suppose -5*y - 51 = 4*j, 3*y + j - 4*j = -9. Let v be l(y). Put v, -8, -1 in ascending order.\nAnswer: -8, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 6*s**3 - 6*s**3 + 1 - 1 + 2*s**4 + (2*s**3 + 3*s - 3*s)*(0*s - 4*s + 3*s) - 6*s**4 + 4*s**4 + s**4 + 1 - s**4 - 1.\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4801 or 4803?\nAnswer: 4801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y**4\/8 - 249*y**3\/4 - 177*y**2\/2 + 9*y = 0 for y.\nAnswer: -6, -2, 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-306)\/(-18) - 7 - 18 - 372\/(-46)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhvjkvjvsu. What is prob of picking 1 s, 1 h, and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 2 + 0*b**2 + 2\/3*b**3 - 5*b. Is y(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*u - 5*d + 43, 2*u - d = -6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f - 2. Suppose -2*m + 5 = k - 24, -f*m = k - 45. Let h(v) = -v**2 - 6*v + 4. Let q be h(-6). Solve -4*y + q*i = -0 + m, -3*i = -y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-13\/6)*i*i)\/i**13*(i*i**18\/i*i*i)\/(i\/i**(-17\/3)) assuming i is positive.\nAnswer: i**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 8:05 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.202185 litres to millilitres.\nAnswer: 1202.185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1780962459?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3513.547311 rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 11.93. Let o = -59\/133 + 3\/19. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/2 - 2*w**4 - 178*w**3 + 360*w**2 = 0.\nAnswer: -18, 0, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 15 - (-5 + 2) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7038 - 866. List the prime factors of c.\nAnswer: 2, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.201, 2\/51, 0.3, -0.2, 1?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - y - 1. Let i(d) = 5*d**3 - d**2 + 4*d + 6. Let n be 6*((-10)\/6 + 1). Let m(b) = n*a(b) - i(b). What is m(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -45. Let p = 12.6 + j. What is the third biggest value in p, 0.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6 - 3 = 0, 0 = -2*k + 3*a + 67. Suppose x = s - 29, 3*x + k = -3*s + 137. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 179, -0.186 in descending order.\nAnswer: 179, 2\/3, -0.186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-14) - 872\/(-763). Let l(k) = -2*k**2 + 12*k + 1. Let w be l(6). Put b, 5, w, 2 in descending order.\nAnswer: 5, b, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r + 3. Let u = -11 + 10. Put 0, u, r, -0.1 in descending order.\nAnswer: 0, -0.1, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19375?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v - 2. Let n be x(-1). Suppose n = -4*c + 1 + 7. Put c, -5, 1 in increasing order.\nAnswer: -5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3436 - -6?\nAnswer: -3430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1456360 and 1336052?\nAnswer: 307291960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -0.2, -2, -4.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 145*c**2 - 22*c. Let g(b) = -4*b**2. Calculate 14*g(i) + x(i).\nAnswer: 89*i**2 - 22*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 563 - 543. Suppose 178 = s*m + 58. Solve 2*r + 2*r - 16 = 0, 0 = 5*n + r + m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*q*t**5 + 11*q - 1191*t**5 - 58*t - 167 wrt t.\nAnswer: 3500*q*t**3 - 23820*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 + 2*x**2 - 2. Let q be h(2). Let w = -8 + q. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*n = -10660, 215*m - n = 214*m + 2138. Is m a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -803 + 808. Let h(q) = 2*q**3 - 9*q**2 + 19*q - 9. Calculate the remainder when h(u) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*m - 2*d, -5*d + 75 = 5*m - 35. Let j = m - 12. What is j rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*v + 111 = 0, 0 = 5*u - 5*v - 31 - 119. Calculate the remainder when 112 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7146*z**3 - 14295*z**3 + 7143*z**3 + 156*z**2.\nAnswer: -6*z**3 + 156*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126543 < 1645056\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*s - 73*s = -96. Solve 6*c - 7*c - 15 = 4*l, s*c = 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/3 - -6)*(11 + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24944 is divided by 567.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**5)**(21\/5) assuming t is positive.\nAnswer: t**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 347 - -47341?\nAnswer: 47688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 25651 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -239 + 249. What are the prime factors of -1 - s\/(-15) - (-1546)\/3?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y - 12860640. Let p = y - -14830320. Suppose -15*z + z + p = 0. Round z to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**4 - 23*l + 6*l**3 - 8*l**4 - 6*l**3 + 7*l**4 + 650 with respect to l.\nAnswer: -8*l**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102023 (base 4) to base 14\nAnswer: -5d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -12. Let q = s + -5.01. Let h = -0.41 - q. Sort -1, 4, h.\nAnswer: -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 19 = 3*m, -4*m + 2*d - 3*d + 13 = 0. Suppose 2*g + 12 + 4 = m*s, -2*g - 17 = -s. Let q = 16 + g. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 11. Suppose 0 = -3*g + 3 - 18. Let m be w(g). Is (-5 + -3)\/((-2)\/m) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1951406*f + 7805652*f - 1951419*f - 1951415*f - 7*f**2 - 1951412*f.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*v + 2\/15*v**2 - 2\/15*v**3.\nAnswer: -2*v**2*(v - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9*i = 0. Let x be 3 - i - 0 - (1 + 3). Let r(c) = -c**3 - 1. Let t(y) = -6 + 4 + 3. Calculate x*r(k) - t(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-12)\/(-210)*(-2)\/10?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*g + 6 = 3*g, 2*n - 4*g - 6 = 0. Let d be ((-25)\/(375\/(-30)))\/4. What is the nearest to n in -0.5, -4, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6182 greater than -1489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/7 - 2328*k + 32600\/7 = 0 for k.\nAnswer: -8150, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(6)*-4)\/(sqrt(18)\/(-2*sqrt(6)) + 1*sqrt(27) + sqrt(3) + sqrt(3))*-3.\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/35 + 5\/((-25)\/(-84))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-744)\/66)\/((-1164)\/3201).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-12) - (4\/(-36) + 10 + (-2392)\/234)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 26*o = -297. Suppose -4410 = -o*n + 15*n. Is n a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 10, -2*k - 5*s + 3880 + 2828 = 0. Calculate the remainder when k is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 363316943, 363316945, 363316947, 363316949, 363316951?\n\"Answer: 2*z + 363316941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27637 * -0.17.\nAnswer: 4698.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -7. Let p = b + -87. Let q = -37 - p. What is the nearest to -1\/2 in 4, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-46)\/(-10) - -1 - (-15510)\/(-14025)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 10*y + 13*y)*(21*y**3 - y**3 + 0*y**3) + y + y**4 - y.\nAnswer: 341*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5\/3 + 34*i**4 - 2122*i**3\/3 - 3186*i**2 - 12352*i\/3 - 1672 = 0.\nAnswer: -66, -2, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28775908?\nAnswer: 2, 7, 79, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 47. Let j = 11.663 - 1.568. Let p = y - j. What is p rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2*(-1)\/(-8). Let i = -387197\/1430 - -3526\/13. Let p = i - -2\/55. Which is the nearest to p? (a) j (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5470 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + b1?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2025603\/56 - 36170. What is the common denominator of u and 137\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 115 = -5*k - 128, 10*h + 3*k = -16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 5*k + 9. What is the common denominator of -19\/11 and (-12)\/k*(-8)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16020\/7 - -2288. What is the third biggest value in 0.1, 3, -0.01, -0.3, a?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0323? (a) -0.3 (b) 0.04 (c) -0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -33, -98, -205, -366, -593, -898, -1293?\nAnswer: -1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3 (c) -305 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2 - b + 0*b**2 - b**2. Give c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -11*l**6\/2880 + l**5\/160 + 22*l**3\/3 - 27. Let k(r) be the third derivative of d(r). Factor k(h).\nAnswer: -h*(11*h - 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44311?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*c = 111 + 21. Solve 2*v = -2*v + 3*m + 11, c = -4*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88bb18 (base 12) to base 16.\nAnswer: 213884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/5650 and -44\/144075.\nAnswer: 288150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + 5)**2 + sqrt(637) + sqrt(637) + sqrt(637) + 0 - (1 + sqrt(637) + -1 + sqrt(637) + (sqrt(637) + sqrt(637)*-1 + sqrt(637))*-5)**2) + 1.\nAnswer: -5655 + 41*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/100 + i**4\/40 + 8*i**2. Factor u(v).\nAnswer: 3*v*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/15 + -103\/15. Is z at least -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 8*v**3 - 9*v**3.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21887 + -0.6\nAnswer: 21886.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 223*k. Let m be o(5). Suppose 3*c = 4*c - m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 22316\/(-4860) + 3\/5. Let w be (-3 - 0 - -4)*3 - 2. Is w less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*z + 4, -6*z + 16 = -3*n - 7*z. Which is the second biggest value? (a) 3 (b) n (c) 1.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.2387 times -5?\nAnswer: -316.1935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -29743, -1, -1.1 in decreasing order.\nAnswer: -1, -1.1, -29743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpp when three letters picked without replacement from eepopopeoeoheeo.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + -1045403?\nAnswer: -1045341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2061 = -12*k + 21*k. Let p = 887 + k. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36078 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + (-12 - -13) - 11 - (8 + 1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -402, -1, 3, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**3 - 3 + n**2 + 199*n - 199*n as j*n**2 + q*n**3 + y*n + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.102322 to two dps.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.291.\nAnswer: 0.0873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j - 9. Let m be b(4). Let l = -12 + m. Suppose 5 = 2*o + 1. Solve o*n - 3*p + 5 = -5, l*n = -p - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 111720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5725*c**3*m**3 + 5753*c**3 with respect to m.\nAnswer: -17175*c**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/(-28) + 2\/7. What is the remainder when 10 is divided by (1\/j)\/((-2)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - 9*z**2 + 2*z. Let q(w) = -3*w**3 + 13*w**3 - 7*w**3 - 2*w + 10*w**2 - 8*w**2 + 8*w**2. Determine 4*f(m) + 3*q(m).\nAnswer: -3*m**3 - 6*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f. Let n(w) = 24*w**2 + 2*w. Calculate n(i(d)).\nAnswer: 24*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, i: 7, p: 1}. What is prob of sequence ii?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13*c - 5. Let w(j) = 168*j - 64. Let a(i) = 64*m(i) - 5*w(i). Let u(s) = s. Determine a(u(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.58 times -0.6?\nAnswer: 27.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 54\/8)\/(9\/24). Let a be (-15)\/9 - (-5 + d\/3). Solve 30 = -6*f + a*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, -5, 0 in ascending order.\nAnswer: -5, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:23 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c - 11*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 121146360.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57123*o**4 - 14 - 57128*o**4 - 95 + o**2 - 2*o**3 + 3*o**3 to t*o**3 + y + f*o**2 + x*o + c*o**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -28552854.\nAnswer: 28552858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*c**3\/4 - 443*c**2\/2 - 421*c + 70.\nAnswer: (c - 70)*(c + 2)*(13*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -55*d**4\/3 - 147*d**3\/2 + 29*d**2 - 7*d. Differentiate k(m) with respect to m.\nAnswer: -440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 6 - (-2 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.32148634 rounded to 2 dps?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/(-1) + (-79 - -81)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 371848393.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177371?\nAnswer: 83, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -734 + 759. What is the highest common factor of k and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3125 and 2075.\nAnswer: 259375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(3\/7)*f**(10\/9) assuming f is positive.\nAnswer: f**(160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -j + 3*j. Suppose 0 = 5*i + 3*y - 45, -i - 23 + 4 = -5*y. Solve 2*q - j = i*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/11))\/(t*t**(-2))*t\/((t*t**(3\/11))\/t)*t\/t**(-1\/5))\/((t\/((t*t\/(t\/t**(2\/9)))\/t))**(4\/9))**(-8) assuming t is positive.\nAnswer: t**(29411\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccchcchcccchcch. What is prob of picking 2 h?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-2) - (-2 + 0). Let j(k) = -4*k**2 + 6. Let i(z) be the third derivative of z**5\/60 - z**3\/6 - 32*z**2 - 10*z. What is l*i(f) + j(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16286.1 millilitres in litres?\nAnswer: 16.2861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8941 take away 0.4?\nAnswer: -1.2941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/29 (b) 0.2 (c) -4 (d) -2 (e) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*r + 3 = 0, 5 = 3*k - 5*r - 0. What is the smallest value in k, -2, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 + 66*y**4 - 636*y**3 + 1532*y**2 - 1410*y + 450.\nAnswer: -2*(y - 15)**2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 201 + a462?\nAnswer: a663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -95*n**3 - 2826. Let i(m) = 5*m**2. Calculate i(j(z)).\nAnswer: 406125*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 3*m**2 - 3*m - 1. Let w = -68 + 65. Let u be s(w). Suppose 0*h = -4*h + 2*c + u, -2 = -h - 4*c. Which is smaller: h or 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 + 7 - 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 220\/9 (b) -16 (c) 15 (d) -0.7 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1\/214, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 69*a**2 + 48*a + 366. Let i(p) = -14*p**2 - 10*p - 72. What is -24*i(n) - 5*w(n)?\nAnswer: -9*n**2 - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = -4*k + 3*k, 4*k = -4. Suppose 2*f - 4*c + 5 = p*f, 2*c + 10 = 0. Let v = -15 - -30. Solve 0*n + f*n = v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0 + 2*t + 2\/3*t**3 - 11\/2*t**2. Let u(j) be the second derivative of j**3\/3 - 5*j**2\/2 - j. Give -4*a(q) + 9*u(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 2*j**2 + 2*j + (41 + 91 + 27)*(-4*j**2 + 5*j - 5*j) as c*j + x*j**2 + s and give x.\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - 37. Let c = b - 13. Solve -2*p - 4*m = 14, c*m + 4 = -5*p - 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 3 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 - 93*x**2 + 31*x**2 + 35*x**2 + x**3 + 27*x**2 - 406 in the form i*x**2 + u*x + n*x**4 + w + f*x**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08741 - -0.23741. Which is the smallest value? (a) o (b) 0.37 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82 and -0.742433.\nAnswer: 60.879506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -1\/8 (b) 1\/30 (c) -0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*2*1 - (-12 - (-45 + 26))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h**2 - 3*h. Let d be n(-3). Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -159?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 141, 580, 1319, 2358, 3697?\n\"Answer: 150*r**2 - 11*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-18) + 4\/24. Let j(y) = -2*y - 6. Let h be j(-4). Suppose 2\/5*k**h + w - 4\/5*k = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*l**4*q + l**4 - 212*l**2*q wrt l.\nAnswer: -1464*l*q + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7462*n - 37888 wrt n?\nAnswer: 7462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -6*z + z. Suppose 4*t + k + 44 = 0, 32 = -2*t - 2*t - 4*k. Let p be 54\/t*4\/(-6). Calculate the greatest common factor of z and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600 and 13389465?\nAnswer: 535578600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 2*a - 2. Let g be u(2). Let r = 0.7 - 0.5. Put 2\/7, g, 1, r in descending order.\nAnswer: 1, 2\/7, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 183 = -5*r, -5*c - 2*r = -287 - 156. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*x**2 + 71*x**6 - 31*x**6 - 16*x**6 wrt x.\nAnswer: 2880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64983 - -7572048\nAnswer: 7637031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 2*i + 11, -9*x - 190*i = -193*i + 51 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*d - 7*d. Suppose -41 = -3*w + d. Let j = 23 - 14. Calculate the remainder when w is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - i**2 - i**2 - 319*i**3 + 313*i**3. Let a be c(-1). Which is greater: 4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*p + 0*p - 2*p)*(-2*p + 2*p - p) + 3 + 6*p**2 - 3)*(-7 + 12 + 1 + (0 + 0 + 2)*(-1 + 1 + 1) - 1 + 5 - 3 - 3 - 2 + 3) + 0*p**2 + 6*p**2 - 5*p**2.\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plglpdmpdddpmmppmp. What is prob of sequence ddpg?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4\/7))**25*u*(u**7\/u)\/u*u*(u\/(u*u**1))\/u)**(-5) assuming u is positive.\nAnswer: u**(-550\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 10 = 3*p, -4*c + 5 = 5*p - 1. What is the second biggest value in -0.05, -1, c?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p + p)*(-2*p + 6*p - 2*p) + (-p + 5*p - 2*p)*(1 + p - 1) + 2 + p**2 - 2 + 1397*p + 307*p**2 - 1397*p.\nAnswer: 314*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.32 - -0.42. Let a = i + 2. Let n = -7 + 6.6. What is the closest to a in -1, -2\/7, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Let v(g) be the third derivative of -1\/120*g**6 + 1\/24*g**4 + 1\/60*g**5 + 0 - 3\/2*g**3 - g**2 + 0*g. What is v(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-28))\/(-3) + 1\/7. Calculate the lowest common multiple of 20 and -1 + (0 - (z - 7)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*u + 339*u**4 + 28*u + 1803*u**4 + 4157*u**2 + 1893*u**2 wrt u?\nAnswer: 51408*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/17, 8.2, 0.18, 0, 1 in descending order.\nAnswer: 8.2, 1, 0.18, 0, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 1*sqrt(121)*-2)\/sqrt(11).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 r when three letters picked without replacement from {o: 2, u: 1, t: 5, q: 1, r: 9}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 9. What is the smallest common multiple of s and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968 is divided by 78.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 7. Calculate the smallest common multiple of -12*(2 - 1 - (-24)\/(-16)) and n(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1342, -1335, -1324, -1309, -1290, -1267?\nAnswer: -1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 41*r + 43 - 45\/2*r**2. What is the derivative of v(u) wrt u?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45971662 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14.2565776098 and -11.5.\nAnswer: -25.7565776098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -17b00?\nAnswer: -17aeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -33. Suppose -v - 1 = -b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + (54 - (-21 - (-36 + -39))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 6:59 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 18 + -8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131703032 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, m: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f + 10. Is h(0) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**3 + 12696*l**2 + 290349*l - 303048 = 0.\nAnswer: -4209, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 d when three letters picked without replacement from {b: 2, p: 3, d: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 9\/5*l**5 - 1\/2*l**3 + 0 - 1\/6*l**4 - 6*l**2 + 91*l. Find the second derivative of h(a) wrt a.\nAnswer: 216*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 24 = -3*q, 3*y - 3*q = 2 + 4. Let j be (-1)\/2*2*1. Let g = j - -1. Solve g = -y*n + 3*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-33)\/(-1))\/(5\/50). Suppose 3*x - 6*x = -m. Suppose -d - 39 = -x. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1988 + 2268. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:48 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -2 - (4 - 8)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13995, -27994, -41995, -55998?\n\"Answer: -u**2 - 13996*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26973332?\nAnswer: 2, 6743333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4612859\/9 or 512541?\nAnswer: 4612859\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (130\/(-3)*17514\/(-19460))\/(2\/(-2))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 6*q**2 - 7*q. Let m be t(-4). Let v be (7\/(-63))\/(m\/(-24)). Let y = -3 + 3.8. Put -4, v, y in decreasing order.\nAnswer: y, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2\/7 + 822730*m\/7 - 117533 = 0.\nAnswer: -822731, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) + -3*sqrt(121)*1)) + 4*-1*sqrt(121))\/((sqrt(77) - 5*1*sqrt(77) - sqrt(77))\/sqrt(7)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59974*j**2 + 3*j - 3*j - 767747*j**2.\nAnswer: -827721*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 2*g - 6*g. Suppose g = 5*t + 8. Suppose -2*u = -5*u + t. Is 4\/5 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -29*c + 884. Solve 0 = -5*i - c + 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 8:46 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -72\/17*m - 648\/17 - 2\/17*m**2 = 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42639.\nAnswer: 3, 61, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 + 60 = 0. Let w be (g\/14)\/((-6)\/8). Suppose 4*r - 72 = -5*c, -3*r + 5*c + 13 = -w. Calculate the remainder when 48 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128335087.\nAnswer: 7393, 17359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*s + 5. Let c be ((-18)\/27)\/(6\/s). Solve 0 = 4*y + x + 1 + 4, x = 2*y + c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 1, w: 1, i: 2}. What is prob of sequence ii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30095410889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 83526.32 tonnes in kilograms?\nAnswer: 83526320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n. Let m(h) be the third derivative of -h**4\/8 - 4*h**2. What is f(m(z))?\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112469701 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**4\/4 - 2*z**3\/3 + 2*z**2 - 8*z + 129. Let o be ((-2)\/(-4))\/(4\/16). Let w be t(o). Solve w = -2*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 305531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-3))\/(8\/(-12)). Let k be ((-3)\/j)\/(-3 + 5). Which is the second biggest value? (a) -0.02 (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-28))\/(252\/(-98))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 41 = -4*i, 6 + 2 = -3*i - 4*b. Let a be -1 + ((-2)\/i)\/(-1). Let m(w) = w**3 - 6*w**2 + 4. Let f be m(6). Sort -1\/3, a, f.\nAnswer: a, -1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.123 - -2.044. What is the nearest to -1\/10 in r, 0.3, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Let y(h) = -h**3 + 5*h**2 - 2*h + 2. Let t be y(d). Suppose t*v = 8*v + 8. Solve v*u - u = 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1391 is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 6*q - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 2:24 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - 36\/(-10). Let j = -12 - -12. Let l = 12 - j. Solve s*x = 2*q + l + 6, -2*q - 23 = -5*x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + r + 115. What is the hundreds digit of h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6049)\/(-2) + 9\/18.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*n**2 + 99*n**2 + 63*n**2 + (1 - 3*n + n + 0)*(-2*n + 4*n - n) to the form c + b*n**2 + s*n and give b.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 7 (b) 16.98 (c) 4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 845416782 - 845416862.0000047. Let u = 154 + -74. Let t = b + u. Round t to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(11\/2)*q\/((q**(-1\/4)\/q)\/q)*q*(((q*q\/(q*q\/q**(1\/6)*q))\/q)\/q)\/q assuming q is positive.\nAnswer: q**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (2 - (8 + 3) - (25 - 29)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12 + 13 + 11 + 11 - 51. Let x(g) = -5*g - 20. Calculate -4*x(t) + 20*z(t).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = 0, 0*v + 4*v - 5*u + 21 = 0. Let k be (-3)\/(v\/(-1) + -5). Suppose -64 - 26 = -k*n. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432) - (sqrt(432) + sqrt(432)*-1))\/sqrt(8))\/((sqrt(24) + sqrt(216) - sqrt(24) - sqrt(24))\/sqrt(8)))\/((sqrt(45)*-2)\/sqrt(5)*-6*-2).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6868, -6857, -6842, -6823, -6800, -6773, -6742?\n\"Answer: 2*b**2 + 5*b - 6875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w**(2\/13))\/((w*w**3*w)\/(w\/w**(1\/3))) assuming w is positive.\nAnswer: w**(-136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -2\/16471, -9, 0.01?\nAnswer: -2\/16471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 2:51 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -2\/339 (c) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/3, 3, 3\/47?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/604344 and 75\/3016.\nAnswer: 17525976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**8\/6720 + c**7\/420 + c**6\/360 + c**5\/120 + 31*c**4\/12 - 13*c. Let f(j) be the third derivative of u(j). Calculate f(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/3)\/k**(4\/7) assuming k is positive.\nAnswer: k**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -425*o**3*s**3 - 2*o**3*s - 27*o*s - 43300*o + 53706*s**2 wrt s.\nAnswer: -2550*o**3*s + 107412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.66 less than -0.1040859?\nAnswer: -2.7640859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*a - 78*a + 21*a to the form z + q*a and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 6. Let s be g(-10). Suppose -1580 = -4*y + 4*f, f = s*y - 4*f - 1585. Round y to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.59268 * -17\nAnswer: -44.07556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24042329.\nAnswer: 31, 173, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-6)\/21)\/(270\/(-1260))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3 + 82*j**2 = 0 for j.\nAnswer: -82, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -262 and 0.8082.\nAnswer: -211.7484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101 in 1\/4, 8, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 44 = 6*p - 4*p, 0 = -4*x - 4*p + 56. What is the smallest common multiple of 4 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 2*d + 14, 0 = 5*b + d - 24 + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyf when three letters picked without replacement from {v: 5, f: 1, j: 3, y: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - 2 - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77616\/57330 + 9\/(2 - (-19)\/(-2))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - -61 - (3 + 25 + 3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 326 and 328 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37385, 37383, 37379, 37373?\n\"Answer: -q**2 + q + 37385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -51?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**4 + 925328*y**3 + 2023*y**2 + 67*y + 21?\nAnswer: 96*y + 5551968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8254 is divided by 294?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1108, -4, -1, 6, 31, 2 in descending order.\nAnswer: 1108, 31, 6, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/7 + 240*x**2 + 283476*x\/7 + 560240\/7.\nAnswer: (x + 2)*(x + 188)*(x + 1490)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-2))\/(((-17425)\/(-34))\/(-205))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 116 = 2*o, -2*h - 98 = -2*o + 2*h. Calculate the lowest common multiple of o and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilometer in centimeters?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0171635 millennia in centuries?\nAnswer: 0.171635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:04 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/18*(-9)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 415772.5 litres in millilitres?\nAnswer: 415772500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((-366)\/(-2440))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/25 of a gram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18644 divided by 4385?\nAnswer: 18644\/4385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73, -13, 87, 227, 407, 627?\n\"Answer: 20*n**2 - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 22 - 3\/8*u**4 + 1\/40*u**5 + 0*u**2 - 22\/3*u**3 + 0*u. Let f(i) be the third derivative of s(i). Give f(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 300433.\nAnswer: 300433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 43 = -52. Let n(u) = 2*u - 1. Let p be n(3). Suppose 2*t + p*f + 65 = 7*t, 3*t - 33 = f. What is the remainder when r is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(11) + -2 + 5.\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2)*-12)\/(-2). Let t(v) be the first derivative of d + 3\/2*v**4 + 0*v + v**2 + 8\/3*v**3. Find m, given that t(m) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 17*y. Suppose -2*i - 8 = -4*v, v - 3*i - 4 = 8. Let o(s) be the first derivative of 1\/3*s**3 + 2 - 3*s**2 + v*s. Calculate 17*o(p) - 6*r(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3211 - 73832\/23. Which is greater: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/40 + 1 + 5\/(20\/(-4))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15767075*h*w**2 + 12*h*w - 244*h - 4*w + 185 wrt w.\nAnswer: -31534150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20405*b**4 + b**2 - 7*b - 5803067 wrt b.\nAnswer: -81620*b**3 + 2*b - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404 a factor of 210415548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 114 + -43. Let l = y - 60. Let c(d) = 10*d**2 + d + 2. Let f be c(2). What is the greatest common factor of f and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 + 168. Suppose -20*x - 350 = v*x. Which is smaller: x or -65\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffttftt. What is prob of sequence tt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 867 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - w - 12, -3*i + 18 = 3*w - 5*w. Suppose 0 = -i*j + 3*j + 6. Determine v, given that 1 - v**4 + 10*v**2 - j*v + 2*v**3 - 10*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 - 172*n + 303 - 135.\nAnswer: -172*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 8*n**2 + 0*n)*(16*n - 31*n + 31*n)*(2 - 2 + 3).\nAnswer: -384*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*q = -2, -2*q = 5*o + 4 - 21. Suppose 0*f + 124 = f + 3*r, f + o*r - 134 = 0. Calculate the remainder when f is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353\/1225 + -3\/1225. What is the nearest to 2\/7 in y, 5, -10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h + 317*h**2 + 155 + 7*h - 153 in the form r*h**2 + s + x*h and give r.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 79*f - 24. Suppose 2 = 5*h + y - 3, 5*y = -2*h - 21. Let t(q) = 316*q - 96. Let a(b) = h*t(b) - 9*w(b). Differentiate a(v) with respect to v.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 1820908475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 355 - 2005. Let o = -6034 + 6094. Calculate the highest common divisor of o and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 + 2. Let j(n) = 14*n**3 - 21*n**2 - 2*n + 12. Give -j(a) + 7*p(a).\nAnswer: -7*a**3 + 28*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/285 - 46704\/(-290510).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 2*k**2 - 5*k - 698. Let r(d) = 4*d**2. Calculate c(r(a)).\nAnswer: 16*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*l - 4*g - 5, -3*l = -g - 15. Let h = 49 - 24. Suppose -l*t + 4*c + h = -40, -3*c = -2*t + 26. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**4\/4 - 5*d**3\/3 + 3*d**2\/2 - 4*d + 3. Calculate the remainder when 47 + -4 - (-2)\/(-2) is divided by b(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -2*z, 0*l + 3*z + 16 = 5*l. Let t be -3 - (-44)\/24*l. Which is the smallest value? (a) -2\/11 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33005 and 205.\nAnswer: 33005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 198?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z**2 + z + 11. Let r be k(-4). Let y = r + -544\/3. Let x = -1 + 2. Which is the third biggest value? (a) x (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:10 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*d*q**3 + 2614*d*q**2 - 16*d*q + 805833*q**3 - 2*q**2 - 2 wrt d?\nAnswer: 6*q**3 + 2614*q**2 - 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 310?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9360540 divided by -27531.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -56. Suppose 2*g = 3*j + 48 - 244, -408 = 4*g + y*j. Let v = -25 - g. Calculate the remainder when v is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -355483 by -6.\nAnswer: 355483\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1204 + -1191. Let g = 23 - -5. Calculate the remainder when g is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 12:37 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -44246 (base 14) to base 5\nAnswer: -20240334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 471813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2739 and 22908.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1066947 and 0?\nAnswer: 0.1066947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(4 - 4 - y) - 4*y - y + 6*y + 2*y + 4*y - y + (-3 - 1 + 6)*(0 + 0 + y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 334 - 312. Calculate the remainder when 87 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-6)\/3)\/(-6)*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77 + 14 + 25 + 21 + 3*x + 27 to d + g*x and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/4 - 166599*h\/2 - 27755226801\/4 = 0. Calculate h.\nAnswer: -166599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270651227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 946.9902s in microseconds?\nAnswer: 946990200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piipipittipipiippp. Give prob of picking 2 i and 1 p.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -1034512?\nAnswer: -1034504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 9*y**2)*(y - 2*y + 3*y) + 5*y**3 + 8*y**3 + 6*y**3 + (-5*y + 4*y + 3*y)*(4*y + y**2 - 4*y) to the form f*y**2 + v + w*y**3 + u*y and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7313 + 16422. List the prime factors of s.\nAnswer: 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -7*o**4\/12 + o**2 - 148*o - 1. Let c = 21 - 23. Calculate h(c).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 35*j**3\/3 + j**2 + 43*j - 50. Let s be b(-9). Round s to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**22*u*u*u**(-9\/2))\/((u\/u**(9\/7))\/u**32) assuming u is positive.\nAnswer: u**(123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*h, 5*b = 2*h + 10959 + 7156. Let z be b\/((120\/128)\/(-15)). Round z to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p - 26. Let l(t) = 2*t + 9. Let h(j) = -3*c(j) - 8*l(j). Let d be h(5). Is (-2)\/(-2) - (-47 - d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 + 582 = 88*v. Solve -4*y = v*y - 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(100)*6)\/(sqrt(6)\/(sqrt(15)\/sqrt(5))))\/(-1*(3*sqrt(80))\/sqrt(8)*4))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40659 is divided by 40588?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15\/2, -4, 0.08, 124?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4443*m - 204364. Give f(46).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 - 2423 - 6132 - 3869 - 409)*(2*b + 2*b - 5*b).\nAnswer: 12732*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 147, 310, 527, 792, 1099?\nAnswer: 1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -835710, -835831, -835976, -836157, -836386, -836675, -837036?\n\"Answer: -2*h**3 - 107*h - 835601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 2. Let z(q) = -3 - 15*q**2 + 10 - 20*q**2 - 10*q - 22*q**2 + 56*q**2. Give 7*t(n) - 2*z(n).\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 9*q - 6. Let u be r(-8). Suppose u*i - 18 = 26. Calculate the greatest common divisor of i and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -17?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 395700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37211, -141907, -316401, -560693?\n\"Answer: -34899*t**2 + t - 2313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 482481956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 256337820 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 4172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-88)*(3\/(-36))\/((-16)\/96)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**6\/270 + 2*y**5\/15 - 25*y**4\/108 - 1951*y. Determine l, given that d(l) = 0.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let m be q(9). Let z(i) = i**2 - 7*i - 1. Let a = 27 + -19. Let p be z(a). Solve -5*c + 3 = -p*n + 4*n, c + m = 3*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48 and -67\/158157.\nAnswer: 158157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in 524, -3, -0.1, -4, -11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28145 + 58*o + 379*o - 28133 - 62*o.\nAnswer: 375*o + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04177 rounded to 3 dps?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -19*v**3\/6 - 3*v. Suppose 0 - 12 = -6*s. Let c(b) = s*b + 8 + 6 - 14. Calculate d(c(l)).\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 73. Suppose -14 = 5*i - 3*r + r, 5*r = 2*i - 7. Let f be (i\/(-6))\/(2\/(-6)). Sort f, g, 4.\nAnswer: g, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 356077 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11602 times 203.3\nAnswer: -2358686.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(2 - 3)*46\/6. Calculate the highest common factor of 23 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*x - 45 = 181*x. Suppose -4*z = -3*m + 1222, -2*z - 2018 = -x*m + 4*m. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 + 5*b**2 + b. Let z(o) = 236*o**3 + 24*o**2 + 5*o. What is -5*y(d) + z(d)?\nAnswer: 256*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and 0.05.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -13*i**4 + 12*i**2 + 4*i - 4. Let f(r) = 25*r**4 - 23*r**2 - 7*r + 7. Let a(w) = 4*f(w) + 7*k(w). What is the third derivative of a(m) wrt m?\nAnswer: 216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from mnkmrknmr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6546424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 + 554979*g + 10544240 = 0.\nAnswer: -554960, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-42)\/18 - 8\/(-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1932 + 1930 - 19*i**2 + 172*i**2 to z*i + p + b*i**2 and give b.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(242)*-5 + sqrt(242) + 1 + 1*(sqrt(242) - (sqrt(242) - (sqrt(242) + -4*(3 + sqrt(242))))))**2.\nAnswer: 2156*sqrt(2) + 12054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470 and 4?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2 = s - 9, 0 = a - 5*s + 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 40 (c) 16.4 (d) 31 (e) -0.1 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1596 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4415 - 3911. What is the greatest common divisor of b and 702?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 11*n**2 + 20*n + 3. Let h = 52 - 60. What is the remainder when 207 is divided by t(h)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t + t + 0*t)*(0 - 3 + 2)*(-2*t - t + 10*t) to v*t**2 + y + f*t and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 3*m**3 + 12*m**3)*(-m**2 + 4*m**2 + 0*m**2).\nAnswer: 42*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532134 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1573))*5 - -4*((sqrt(1573)*2 - sqrt(1573)) + sqrt(1573))**2.\nAnswer: 55*sqrt(13) + 25183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 2 - 8*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 608 - 558 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t + 5*t - 17*t)*(-135*t**3 - 486 - 2*t + 489 - 780*t**3) as j*t**3 + i*t + s*t**4 + z + m*t**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y + 22. Let p be h(2). Let l be (-20)\/8 - 1\/2. What is the closest to 0 in p, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3 + 5\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 5*u**2 - 5*u - 2. Let i be w(-4). Let c be ((1 - i) + 0 - 0) + 121. Calculate the highest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-4))\/((-5)\/(-20)). Let c(g) = -g**3 - g - 5. Let a(b) = b + 1. What is h*a(i) - c(i)?\nAnswer: i**3 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-8) - (-365)\/2. Suppose b + b - f = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13018*d**2 - 26031*d**2 + d + 13018*d**2.\nAnswer: 5*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 12*v - 740. Suppose -5*t = -6*l + l - v, 5*t - 2*l - 185 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10191944 and -43\/2132.\nAnswer: 132495272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*c - 7. Suppose -c*m + 95 = 21. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6)*(-31 - 1). Suppose j = 3*x + x. Let y = 3 + -5. Which is the second biggest value? (a) y (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**10)**(-39)*o\/o**(-3\/14)*o**(-3\/5) assuming o is positive.\nAnswer: o**(-29987\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4530909335?\nAnswer: 5, 7517, 120551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, -4472, -0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4340 + -4332 - (-2038)\/(-255)\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.06, -1\/5, 2\/13, -4, 0.13?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001559 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 52 = -112. What is the lowest common multiple of 114 and (2 - -3)*(-8 + d)?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -13*x - 3. Let z(d) = -2*d**2 + 29*d - 36. Let p be z(13). Let m(h) = -40*h - 10. Give p*m(b) - 10*t(b).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 8*g**2 + 11*g - 8. Is 29 a factor of b(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 375326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 22 = -5*o, -2*o - 3 = -5*m + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 15?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -56.14 from 0.2357168455.\nAnswer: 56.3757168455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 958 = 5*m, 3*m = -k - 67 + 635. What is the greatest common divisor of m and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.931 - -0.069. Which is smaller: z or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120676746.\nAnswer: 2, 7, 751, 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 2.1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -5.24.\nAnswer: -10.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 50772*p**2 - 304740*p - 457164.\nAnswer: 4*(p - 12699)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121011871 is divided by 24202372.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*-3 + 228\/(-8). Which is the third biggest value? (a) -0.5 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/14)*i)\/i**(3\/5)*(((i*i**(2\/45)*i)\/i)\/i)\/i**15 assuming i is positive.\nAnswer: i**(-1843\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 344510, 689054, 1033598, 1378142?\n\"Answer: 344544*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 11*y**2 + 12*y + 41. Calculate b(-12).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-5*(sqrt(78) + sqrt(78)*-3))\/(-2*sqrt(150) + -1*(sqrt(6) + sqrt(30)\/sqrt(5))))**2.\nAnswer: 8125\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29350 - 29347. Which is the third biggest value? (a) 21 (b) 29 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggyuuygexg. Give prob of sequence ueg.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*w, -4*z - 10 - 14 = w + 18. Suppose 4*k + 2 = 5*y, 0 = 2*k - 2*y - 2*y - 2. Sort z, -1, k in descending order.\nAnswer: -1, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 13*g**2 - 15*g + 14. Let k be h(14). Suppose 4*y + k = -60. Let w(p) = -p**2 - 16*p - 1. Is w(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*s = 20, 5*o + 2*s + 3*s - 60 = 0. Suppose o*h = 7*h + 1320. Is h a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 625 + -585. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127678 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 - 3 = 3*k, -2*k = -b - 1. Suppose 11*l - 6 - 236 = k. Calculate the remainder when 175 is divided by l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -48*b**2 - 192*b + 1919. Calculate q(9).\nAnswer: -3697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/4 + 4*h**3\/3 + 5*h**2\/2 - 9*h. Let s(l) = -3*l**2 + 9*l + 6. Let d(x) = 6*j(x) - 5*s(x). Factor d(f).\nAnswer: -3*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14542424 (base 7) to base 16\nAnswer: -153086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/8 + -35\/24. Let u = -5 + 7. Let r = u + -3. Is c >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/140*(-5 - -3). Let n = 178 + -1248\/7. Which is the third biggest value? (a) n (b) k (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 8*w**2 + 8*w + 5. Let k be b(9). List the prime factors of (-4576)\/(-22)*(-6)\/k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -32 (b) -0.249 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**3 + 38*w**2 - 38*w**2 - 2*w**3 + 4*w**3 - 5*w**3 + (-3*w - 3*w + 4*w)*(w**2 + 2 - 2).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 p when three letters picked without replacement from ttvptvptpptpyppvpppp.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2 = -13. Suppose -124 = m - 3*m. Is a\/9 + m\/6 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 - -72510.6?\nAnswer: 72512.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1788 = 5*j - 3*t, -2*j + 3*t - 213 + 921 = 0. Suppose -228*m = -234*m + j. What is the highest common divisor of m and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from keskeksekskksksk.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -40. Let w(i) = 0*i**2 - 2*i**2 - 2 + q*i**3 - 6*i**3 + 0*i + i. What is w(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + r**3 + r**3 + 3*r to the form j + g*r**2 + l*r + b*r**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(416)*-6 + sqrt(416))\/(sqrt(8) - 1*sqrt(8)*2) + -5.\nAnswer: -26*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15\/7)*h)**(-22\/5) assuming h is positive.\nAnswer: h**(176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1738466 centimeters to meters.\nAnswer: 0.001738466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6*z = -z - 27, -3*h + 3*z = 9. Let a(k) = -7*k**3 + 9*k**2 - 9. Let t(f) = 2*f**3 - 2*f**2 + 2. Calculate h*a(w) + 9*t(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 41165557793.\nAnswer: -41165557792.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 6. Let f be r(-8). Let d = 6 - 10. What is the smallest value in f, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13021202 + 20021?\nAnswer: 13101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*l - 63, -4*i + 4*l - 37 = 239. Let m = -7 - i. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 5*k**2 + 4*k - 3. Let a be b(3). Let d(p) = p**2 + 10*p. Let z be d(a). Let x = 13 + z. Solve -y = -0*y + x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -47.\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 0, 0 = -3*t + s + 4*s. Suppose t = -4*p + p + 6. Factor 4*d**3 - 2*d - 2*d**4 + 0*d + 2 - p*d.\nAnswer: -2*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6251\/20 + -1231\/4. Find o such that 2*o + 1\/5*o**2 - f = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7096 divided by 27775.\nAnswer: -7096\/27775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yffyfmwmfykeew. What is prob of sequence ff?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1809 - -9. Let v = -1212 + s. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -3, -5, 3\/4, -0.3 in decreasing order.\nAnswer: 3\/4, -0.3, -3, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/10)\/(1\/(-10)). Let g = -975\/7 + 1000\/7. Is s at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3187 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**2 - 3*b + 71. Let v(p) = 7*p**2 - 4*p + 70. Determine -6*h(u) + 5*v(u).\nAnswer: -u**2 - 2*u - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {n: 3, s: 3, i: 3, e: 1, a: 10}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1404978, -1404882, -1404644, -1404198, -1403478, -1402418, -1400952, -1399014?\nAnswer: -1396538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6 and 102877.\nAnswer: 102883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -1865.\nAnswer: 335.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.1 + -25. Let i = 1.04 - -0.16. Let o = 1 - i. What is the closest to n in o, -5, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -22557*m - 8. Give y(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 400.42 - -6.58. Let o = 408 - v. Which is smaller: o or 0.0433?\nAnswer: 0.0433","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 + 6 = 4*h, 2*u + 19 = 5*h. Suppose -h*r + 6*r + 4*j = 6, -6 = -5*r + 4*j. Which is the biggest value? (a) r (b) -4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1307, -1297, -1281, -1259, -1231, -1197?\n\"Answer: 3*a**2 + a - 1311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r - 345. Determine i(43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 y, and 1 x when four letters picked without replacement from kkkyxyiyxyi.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 4 = 12*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + 0*c)*(0*c**2 - 11*c + 8*c - 2*c**2).\nAnswer: -2*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 925637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -8) + -7 - (-4 - -1). Let b be 60\/o*(0 - (-2)\/(-6)). Let a be 20\/4 + b + 0. Solve u = -5*h + 2*h + 2, -4*u - 4*h + 8 = a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1068 - 163310\nAnswer: -164378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26933\/33 + -2473\/3. Let u = -15\/22 - c. Let a(d) = 6*d**2 + 4*d - 3. Let l be a(1). Which is bigger: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(175)*1 - ((sqrt(7) - (sqrt(7) + sqrt(112))) + -4)))**2 + 1 + -2.\nAnswer: 648*sqrt(7) + 5246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/8 - 937\/(-2). Let u = -2 + -2. What are the prime factors of l\/(-45)*10\/u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 14 = -d, 13*d + 4*d + 21 = 21*d - 5*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/(y*y**(-6))*(y**0)**(-3\/49))**22 assuming y is positive.\nAnswer: y**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88543103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 1\/2*b**2 - 1 + 0*b**3 - 2*b + 1\/12*b**4. Let o(s) be the first derivative of p(s). Differentiate o(h) wrt h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 52, -437.\nAnswer: -437, -4, 12, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4451 (base 11) to base 5.\nAnswer: -141424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20437?\nAnswer: 107, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(77)\/(sqrt(7) + -1*sqrt(63)) - 3*2*(sqrt(1100) - (1 + sqrt(1100)) - sqrt(1100)))**2.\nAnswer: 1309*sqrt(11) + 156255\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141996947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 7. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(-1\/10))**(-48) assuming x is positive.\nAnswer: x**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8 - 2 - 2*v - 10 - 4. Let y be x(-11). Let w be (y\/4)\/(2\/4). Sort -2, -7, w in decreasing order.\nAnswer: w, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1805610 divided by -30\nAnswer: -60187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15 + 3)\/(11 - 14). Sort 70, h, 5.\nAnswer: h, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-11\/2)*(d*(d**(9\/2)*d)\/d)\/d*d)\/(d**(-24)*d**16) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*a + 2866 = 0, 5*c + 2*a - 2870 = 2*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1319 + 384. Suppose 2*d + s + 1175 = 0, 2*s - 2685 - 266 = 5*d. Let z = d - r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**3 + 3*q**2 + 3*q + 2. Let k(u) = 14*u**3 + 8*u**2 + 8*u + 6. Let w(v) = -11*i(v) + 4*k(v). What is w(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*((-203)\/29)\/(-70))\/((-2)\/(-244)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*d - 3*x, -4*d - x + 0*x + 27 = 0. Let h = d + -3. Solve -q = -3*l - 14, -h*l + q - 24 = -2*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 8152416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + k - 672 = 0, 77 = 2*l + k - 257. Let g be (-4 + -1)\/((-7)\/(-21)). What is the hundreds digit of l - 5\/(25\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204122 - -306135. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 72*l + 1. Let u(s) = -2*s**2. Give u(x(p)).\nAnswer: -10368*p**2 - 288*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5382412.4 rounded to the nearest ten thousand?\nAnswer: 5380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 8, -5*z + 16*y + 3270 = 21*y. Does 48 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -724*h**3*z - 8*h**3 - 11*h**2*z - 40*h**2 + 8*h*z + 4*h - 3 wrt z?\nAnswer: -724*h**3 - 11*h**2 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10298 (base 16) to base 3.\nAnswer: 10100210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 3*l + 6, -414 + 435 = -2*g + 5*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*l + 120, 11*l - 7*l - 270 = -2*g. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813780663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - 0.2. Let g = 2 + -1.9. Which is the closest to 0? (a) h (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311014312 (base 5) to base 13\nAnswer: -354808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*m - 59*m - 45*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -52. Suppose -5*k - 16 = n, -n + s*k = 1 - 6. Let u be ((-1)\/(-2))\/((-9)\/(-30)). Sort u, n, -3.\nAnswer: -3, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 199*a**3 + a**2 - 2*a + 1. Is k(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/168 in 4, 11, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.0479, -0.3, -6, -16\/39, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3457\/4 - -843. Calculate the common denominator of f and 9\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 6, c: 5, g: 4}. What is prob of sequence ff?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/153 in 0, -67, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -11. Suppose 0 = 2*x - p*x. Let z be 1 + 1\/(-3) + x. Which is the nearest to z? (a) -0.2 (b) 0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/3 (b) -0.1 (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*m**2 + 3)*(m - m + 3*m**3).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/22 and 11\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - (-4 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - 0) - 11 - -51\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1905109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 - (-608)\/6. Suppose 3*o - 114 = 2*u, 0 = 3*o + 5*u - 3*u - m. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470088 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6187 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -33, 6, 13, -5 in ascending order.\nAnswer: -33, -5, -3, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbba. What is prob of sequence aab?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:52 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1321 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28452, -28450, -28448, -28446?\nAnswer: -28444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2, 29, 0.115, 2\/5, -0.14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30135 + 39160. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011552965675 rounded to 7 decimal places?\nAnswer: -0.0001155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 99.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -84493 + 1?\nAnswer: -84492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 11 = -3*w, -w = -4*w + 3*s + 15. Which is the closest to w? (a) 4 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 60.802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12068 and 1928?\nAnswer: 5816776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136188, -136176, -136164, -136152?\nAnswer: -136140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 5*o**2 - 7*o + 11. Calculate w(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/15)*w)\/w**34*(w\/w**(-14))\/(((w*w**34\/w)\/w)\/w*w))**(2\/79) assuming w is positive.\nAnswer: w**(-1534\/1185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 2:43 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/45 (b) 3 (c) 1\/11 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 11*p + 86. Calculate w(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -2003*c**6\/2 + c**3\/3 - c**2 - 54*c - 3058. Find the third derivative of f(j) wrt j.\nAnswer: -360540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 8) to base 15\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f - 15. Let b = -11 - -18. Let g be x(b). Let o = -33 + g. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2003 is divided by 219?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/12)\/((-4)\/(-30)). Let c(p) = -3*p**2 - 5*p - 2. Let j(o) = 5*o**2 + 10*o + 5. Let l(r) = k*c(r) - 2*j(r). Factor l(b).\nAnswer: 5*b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/14 and -103\/6977190?\nAnswer: 48840330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 684 divide 5348196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5594 by -2797.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 + 8*a + 2*a - 2*a**2 in the form i*a + o*a**2 + q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-1\/5)\/o))\/o**(-25\/6)*(o\/(o*o\/o**(12\/7)))**(-2\/79))**(8\/9) assuming o is positive.\nAnswer: o**(421292\/74655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1070*b = 45104 - 13058 + 47134 for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 627098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, 0, -1.2, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 3 - 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*p**2 + 21*p**2 - 49*p**2 + 17*p**3.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46, -510, -1868, -4600, -9186, -16106, -25840, -38868?\n\"Answer: -80*z**3 + 33*z**2 - 3*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/8)*g**(4\/5) assuming g is positive.\nAnswer: g**(27\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*x, 4*z + 4*x - 21 - 7 = 0. Let g(q) = -4*q - 1. Calculate the remainder when g(-6) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 less than 505.9359?\nAnswer: 485.9359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4351129182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from wnwnnwnnsnns.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.3 (b) -12\/7 (c) -1017\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/27))**(-2\/87) assuming j is positive.\nAnswer: j**(-50\/2349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3\/2 - 36741597*c**2\/2 = 0 for c.\nAnswer: -12247199, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 14*w - 29. Let j be s(-13). Let v(a) = -5*a - 13. Does 18 divide v(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 11 = -4*m - 4*p, -5*m - 2*p + 19 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2. Sort -4\/7, -2\/3, b in ascending order.\nAnswer: -2\/3, -4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -120, 48, 512, 1422, 2928?\n\"Answer: 25*j**3 - 2*j**2 - j - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t + 35. Let s = 87 + t. What is the highest common divisor of s and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164675*t + 164694*t + 779 = 0 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 688590278?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2093 times 115.5?\nAnswer: 139.67415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26718824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**3 - 2*k**3 - 5*k**3 + (4*k - 22*k - 8*k)*(k**2 + 2*k**2 - 2*k**2).\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.0888704 to 2 dps.\nAnswer: 52.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -6185.41?\nAnswer: -105151.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, v: 6, d: 3, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 35532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0*n + 2 - 3*n + 2*n + 7*n. Let w be p(2). What is the greatest common factor of 112 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**9*s*s**(2\/17)*(s*s**3)**(-5) assuming s is positive.\nAnswer: s**(-457\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -41830 to the nearest 1000.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2349269 less than or equal to -2349270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*w - 740 + 241 = 0, v - 3*w - 227 = 0. Let o = 242 - v. Let o - 3\/2*x**2 - 6*x = 0. What is x?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120012 (base 4) to base 15.\nAnswer: -2d3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 34084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlilrlrlzllrz. Give prob of sequence ri.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/6))**(-2\/69)*l\/l**(-5\/7)*l**(-15)*l assuming l is positive.\nAnswer: l**(-17837\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -362 + -426034?\nAnswer: -426426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3161, -4732, -6303?\nAnswer: -7874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -206*t - 818. Give l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1519946134.\nAnswer: 2, 7, 108567581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -31. Suppose 2*w = 13 + f. What is the least common multiple of 34 and w?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1754*o + 5627 + 72940 = -68769 for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 0*k**3 + 0*k - 1\/315*k**7 - 1\/60*k**6 + k**2 + 0 - 1\/30*k**5 - 1\/36*k**4. Factor z(w).\nAnswer: -2*w*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4891*f**3 - 966*f**3 - 977*f**3 - 977*f**3 - 991*f**3 - 976*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 - -129. Let w = 7 + r. Solve -4 = w*t - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 2958.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 41*j**2 - 3*j + 9. Let b(c) = -13*c**2 + c + 4. Let v(d) = -14*d**2 + d + 6. Let s(o) = -4*b(o) + 3*v(o). Give 2*p(u) - 9*s(u).\nAnswer: -8*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/20 - x**4\/2 - x**3 - 5*x**2\/2 - x. Let k be b(7). Let t(s) = 2 + 23*s**2 - 21*s**k - 7 + 7*s - s**3. Calculate t(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**6 - 2889*l**5*t + l**3 + l**2*t + 108015*t wrt l.\nAnswer: -360*l**3 - 173340*l**2*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263 + 252.3. Let v = j - -11. Which is the closest to 2? (a) -3 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + f + 81 = -12, 2*t + 4*f - 24 = 0. Suppose 5*n - 5*b - 340 = 0, -2*n - 3*b + 0*b + 151 = 0. Calculate the remainder when n is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1320 and 16?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1348 - 7603. Let s = a - -17838. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 4*j + 3. What is z(-5)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = 5*g - 35, -4*j = -g - 15. Let y = 0.1 + -0.2. What is the closest to y in 0.1, g, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 5*j - 4*j.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5838250 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -231 or -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 28 = 2*g. Suppose -2*r - 2*q = 98, 5*r + 2*q - q + 225 = 0. Let m be 30\/(-75) + r\/(-10). Solve -5*c = 3*s - 9*c - g, 5*c = -m*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66981 is divided by 2687.\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/224973 and -67\/171.\nAnswer: 4274487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/5)*w*w**1)\/(w**(-4\/3)\/((w\/w**(-7))\/w)))\/((w**(-1\/4)\/(w\/((w\/(w*w*w**(-3)))\/w)))\/(w**(-1\/4))**(-41)) assuming w is positive.\nAnswer: w**(643\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 6 - 78. Let f = l + 46. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -2\/7, -3\/532, 0.2, -5?\nAnswer: -3\/532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4 - (-1 - 2)) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3938*w - 1935*w - 123589 + 419937 = -155873 for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 a factor of 3016215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m + 3. Let z be ((-6)\/(-6))\/((-2 + 1)*-1). What is the derivative of -z - 3*l + l - 3 - m*l wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(44))**2 + 5.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6120985.\nAnswer: 5, 13, 94169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 4*o + 3. Let k(a) = -5*a**2 + 13*a + 9. What is -2*k(x) + 7*n(x)?\nAnswer: -4*x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077 times -0.0443?\nAnswer: -0.0034111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 12*i + 12*i + 24 - 7.\nAnswer: -2*i**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(3*w - 2*w + 0*w)*(-3*w + 4*w + 2*w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/13531 and 63\/4?\nAnswer: 54124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:26 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123322120 (base 4) in base 14?\nAnswer: 2d944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 30*v - 37. Let j = -941 - -910. Let d be c(j). Let b(q) = q + 4. Give b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 23. Let q be v(7). Suppose -5*m = -5*x + 320010, -m = -q*x + 29158 + 98844. What is x rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrnr when four letters picked without replacement from {n: 2, r: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -269*z**2 + 112*z**2 - 2*z**2 - 4*z**2 - z**2 + 2*z**2 + z**2 + 5*z**2 - 4*z**2 + (-4*z + 4*z - z)*(z + 0*z - 3*z) + 2*z**2 - 3*z**2 + 2*z**2.\nAnswer: -157*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -226*o + 3. Let y(p) = 69*p**2 - 64. What is y(r(u))?\nAnswer: 3524244*u**2 - 93564*u + 557","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15952 is divided by 5227.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 7, 4 in descending order.\nAnswer: 7, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 789 - 701.91. Let o = -0.0875 - 87.9125. Let n = j + o. Round n to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -44*u**2 + 16*u - 16*u. Let l(z) be the first derivative of z**4\/12 - 50*z - 45. Let t(q) be the first derivative of l(q). Give p(t(c)).\nAnswer: -44*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8 + 85*g**3 - 5 - 86*g**3 - g**5 - 46 - g wrt g?\nAnswer: -20*g**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1942, -1941, -1940?\nAnswer: -1939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13) + 2 + sqrt(26)\/sqrt(2)*-4 - (-1 + (sqrt(208) - (2*sqrt(208) + sqrt(208)))**2).\nAnswer: -829 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) + 2 - 7. Let o = -4666\/545 + -26\/109. Let p = -142\/15 - o. What is the second smallest value in h, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c + 2*c - 2*c - 9*c + 2. Let z(q) = 2*q**2 - 2*q - 2. Let v be z(2). Give a(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2291, 2286, 2281?\n\"Answer: -5*r + 2296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 26 = -4*z + 7, d - z + 7 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 3, -7, 19, 93, 227, 433, 723?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15821787.923 - 7\nAnswer: -15821794.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001537 to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(20 - -2)*-1123. Let a = 103 + n. Let w = -4602 + 45979\/10. Find the common denominator of w and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.62 - -0.38. Let t = 21 - w. Let s = t + 6. Do 0.1 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 876 and 1178652?\nAnswer: 86041596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7367 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 8. Let d be (-8)\/(-21) - (-4)\/g. Let y = 0.4 - 0.6. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354, -1163, -2430, -4155, -6338, -8979, -12078?\nAnswer: -15635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21106 (base 9) to base 10\nAnswer: 13938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.51008879 rounded to 3 dps?\nAnswer: -11.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21248, -21179, -21110, -21041, -20972?\n\"Answer: 69*m - 21317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 0.06, 0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1687953?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1972 and 153?\nAnswer: 17748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5137*-0.43\nAnswer: -2208.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = j + 11, 52*j - 49*j + 57 = 5*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -878 + 198. Let r = 426\/5 - h. What is the biggest value in r, -11, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/95? (a) -1\/16 (b) 2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-12)*-9*2. Find the third derivative of -w*c**5 + c**5 - 11*c**5 + 4*c**2 wrt c.\nAnswer: -1140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + -11 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 0*q**4 - 1\/4*q**3 + 0 + 0*q + 0*q**2 + 1\/4*q**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.100082 + 2.1. Round y to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18326 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*t**5 + 4*t**4 + 3559*t**3 - 23914*t**2 + 200.\nAnswer: -4380*t**2 + 96*t + 21354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4939, -9884, -14829, -19774?\nAnswer: -24719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/3 + 47*f**2. Let u(l) = -l. Determine s(u(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430500 rounded to the nearest ten thousand?\nAnswer: 3430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1006740 and -167\/810?\nAnswer: 9060660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-6375)\/765)\/(3\/(-837))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -2*n - 22, 2*y - 53 = -2*n - 55 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -20*a + 1. Let u be g(-7). Suppose 2*m = -u - 3. What are the prime factors of (-20)\/(-6)*m\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105341?\nAnswer: 105341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91598013 to the power of 1\/2, to the nearest integer?\nAnswer: 9571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -11987470 divided by 99070.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from howkyyr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) + ((sqrt(130) - sqrt(130)*-1) + sqrt(130) - sqrt(130)))*2)\/(sqrt(1210)*-1).\nAnswer: -7*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.103 + -1.203. Let j = -5 + 5.6. Which is the second smallest value? (a) -3\/4 (b) i (c) 1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 4*t**5 - t**3 + t**5 + t**3 + (-1 + 2 + 0)*(-2*t**5 - 4*t**3 + 4*t**3) + 0*t**5 + 4*t**5 - 2*t**5 + 399*t**2 - 13*t - 4*t**5 - 399*t**2.\nAnswer: -7*t**5 - 13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6116.5949 to the nearest one hundred.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3087?\nAnswer: -1\/1029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 plus -369114.3888?\nAnswer: -369100.3888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -11*d - 4*d. Suppose 3*q + d = -3*y, -y - 4*y = 20. Solve 4*m - h = -q*h + 4, 4*m = 4*h + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1685 - 1671 = -7*i. Which is greater: i or -168\/55?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 9. Let u be v(-12). Suppose 371 = -10*q + u*q. Let t = q - -48. Let a(w) = -w**3 - 6*w**2 - 4*w + 7. What is a(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(12)\/sqrt(64)) + -1.\nAnswer: -1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72051 is divided by 414.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-236*v**2 + 116*v**2 - 304*v**2 + 43*v**2)*(20*v - 27*v - 23*v).\nAnswer: 11430*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -5*j + 61*l, 5*l = 5*j - 2*j + 27 - 32 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1314, 4, -2, -5, -14.\nAnswer: -14, -5, -2, 4, 1314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) 71\/2971 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22015681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/24*2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:44 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 10*r**2 - 5 + 1 + 3*r**3 + 12*r**2 as c*r**3 + z + d*r + l*r**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 41, -4, -2 in decreasing order.\nAnswer: 41, 5, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2882 or 2879?\nAnswer: 2879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, u: 2}. What is prob of sequence utu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*q**2 + 4*q**2 - 54*q**2.\nAnswer: 116*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 1. Let i(h) = h. Let b(o) = -3*i(o) + s(o). Suppose -5*u + 8 = -z - 0, 5*z + 2*u = -13. Let q be b(z). Which is smaller: q or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -25 in ascending order.\nAnswer: -25, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 1 + 3. Let t(f) = -f**3 - 5*f**2 - 4*f + 5. Let s be t(-4). What is the units digit of 148\/20 - u\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 2*t - 35)*(-3 + 8 + 1) + (2 + 0 + 0)*(-1 - 1 + 0)*(0 - 3 + 2)*(-3*t - 9 + 4 + 3).\nAnswer: -24*t - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 86373 = -q, -172733 = -1276*q + 1274*q + 5*b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 4. Let g(m) = 2*m**2 + 8. Let u be (-13)\/2 + 3\/(-6). Let k(w) = 4915 - 3*w + 2*w - 4925 + 0*w. Let p be k(u). What is p*g(d) + 5*s(d)?\nAnswer: -d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/62018 and 23\/50742?\nAnswer: 558162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 13 = -0*a. Let p(f) = -3*f + a*f**3 + 3 + f**2 - 11*f**3 - 3*f**2. Calculate the remainder when 9 is divided by p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:32 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*r - 690*r + 165*r)*(-3 + r + 3)*(1 - 1 + 2*r**3).\nAnswer: -1172*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiaiiaiiiiiiaiaiii. What is prob of picking 2 a and 1 i?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 528 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (18 - -2) - (118 + -110)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286280 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5811205)\/(-70) + (-24)\/112 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 12:43 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-308)\/42))\/(12\/(-11544)*-39).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -952aa + 5?\nAnswer: -952a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b, 3*f - 2*b = -0*f + 7. Solve 11*p = -f + 25 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 15. Solve 0 = 2*u, -f = 2*u - q*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35663745 is divided by 153723.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9986.678ml in litres?\nAnswer: 9.986678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 8. What is the lowest common multiple of ((1 + 3)*-1)\/(-1) and (-1 + 2 - a) + 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.5 less than -3464477?\nAnswer: -3464456.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 8*u**2 - 55*u - 45. Calculate p(12).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -89?\nAnswer: -34\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58254, 58283, 58336, 58413, 58514, 58639?\n\"Answer: 12*t**2 - 7*t + 58249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in -2, -3, -2\/5, 6\/457?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 99 = -1236. Let q = g - 82. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 395*m**2 + 19*m - 2. Let n be x(2). Do 1616 and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5467\/547 < 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v + 102. Let p be x(-17). Let l(s) = 0*s - s - 9*s**3 - s - 1 + p*s**3. Give l(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/11240 and 23\/7317240?\nAnswer: 7317240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05747 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 6:03 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 39793 - 609777 = d, -3*d - 4*b - 1709984 = 0. What is d rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -5, -4, -3?\n\"Answer: u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111344623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 2:41 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 33?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/7 + -1 - 2. Let y(l) = -l**2 - 2*l - 3. Let z be y(-3). Let k be 20\/6*z\/(-4). Which is the nearest to 0? (a) k (b) -3\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5 - 14*p**4 - 70*p**3 - 152*p**2 - 145*p - 50 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 15*m + 5. Suppose -1 = -2*i - 4*h - 9, -5*h = 10. Let z = i - 14. What is the units digit of r(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + 59. Suppose b = u + 4*w, -u + 4*w + 54 = -65. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3011, 6013, 9009, 11999, 14983?\n\"Answer: -3*w**2 + 3011*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 48*c + 551. Determine r(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*o + 67*o + 26*o - 1 + (-2 + 3 - 3)*(0*o - 5*o + 4*o).\nAnswer: 111*o - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 523*a**2 - 3140 + 2380*a**2 - 3729 + 5137*a**2 wrt a?\nAnswer: 16080*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1357 divided by -17?\nAnswer: 1357\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -2, 331 in descending order.\nAnswer: 331, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147320945, -294641888, -441962831, -589283774, -736604717, -883925660?\nAnswer: -1031246603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:51 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and (18\/(-5))\/(-3*(-3)\/(-30))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -0.1 (b) -242 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**2 - v**2 - 2)*(-5 + 5 + v).\nAnswer: -v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*-4 - -1. Suppose 2*s - 53 = -2*h - h, z*h = 3*s - 72. Solve 0*a = 4*a + 2*n - 4, 3*a = 4*n + s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52851, 105683, 158521, 211365, 264215, 317071, 369933?\n\"Answer: 3*k**2 + 52823*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**3 - 2*r**2 - 2*r + 2. Let z be n(2). Let w(u) = -2*u - 16. Let t be w(-9). Let v(l) = 1 - z*l**3 + 0 + 9*l**3 - 2*l**t. What is v(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 - 2*i**2 + 4. Let l(j) = 4*j**3 - 2*j**2 - j + 5. Let u(s) = 5*l(s) - 6*n(s). List the prime factors of u(3).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5514118639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/2 - -4)\/((-8)\/(-24)). Suppose 0 = 4*b - 8, -a*r = 4*b + 1 - 12. Which is greater: r or -18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 5*q**2 - q**2 - 4 + 4*q + 5. Suppose 3*y = -2*y - 30. Let g(v) = -4*v**2 - 7*v - 2. Calculate y*g(x) - 11*j(x).\nAnswer: 2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252060 divided by 6.\nAnswer: -42010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 886, 897, 930, 997, 1110, 1281?\n\"Answer: 2*r**3 - r**2 + 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 213 = -165. Suppose 69*c - s = 66*c. What is the lowest common multiple of c and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v - 35*v + 97*v - 21470 = 0. What is the remainder when v is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -11) + (5656\/(-224) - -28) + 5825\/(-348)\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1163 = 2*s, 0*s = j + 5*s - 251. What is the highest common factor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 1, q: 2, u: 1, d: 4, o: 3}. What is prob of sequence ou?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/((-2)\/(-18)). Let h be ((-2)\/3)\/(-6*2\/18). Solve p = -h - s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69.8 + -0.1021697987\nAnswer: -69.9021697987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133242 (base 5) to base 4.\nAnswer: -1111013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 6) to base 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -11*l**2 - 4*l - 3. Let g(w) = -8*w**2 - 4*w - 3. Give -3*g(o) + 2*h(o).\nAnswer: 2*o**2 + 4*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - w + 30, 29*w - 25 = -2*t + 26*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 1175 = 1085. Is (-63287 - 8)*(-3)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003429281322 to six decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8687372 is divided by 1447892.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 918, 1836, 2756, 3678, 4602, 5528?\nAnswer: 6456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**11*o**(-1\/2))\/(o\/((o\/(o**(-2\/9)*o))\/o)*o)**(8\/5) assuming o is positive.\nAnswer: o**(109\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**7\/105 + 2*g**3\/3 - 5*g**2\/2 + 2. Let a(k) be the second derivative of d(k). What is the derivative of a(u) wrt u?\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:48 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -408.7527 - 1.172082.\nAnswer: -409.924782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**4 - 2*k**4 - 3*k - 3*k + k**2 - 15 + 17 + 5*k to the form z*k**4 + y + d*k + b*k**2 + s*k**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.25 + -0.25. Let p = z - -9. Let q be 36\/77 + 2\/(-7). Which is the closest to 1\/4? (a) q (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 2. Let o be 4\/26 + (-768)\/(-78). Calculate the remainder when (27\/15)\/(2\/o) is divided by k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4050563 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 145254?\nAnswer: -145258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(84)\/sqrt(3))**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20175 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 - -213 - ((-1 - -3) + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -25*x**2. Let k(j) = 14*j - 37*j - j**2 + 23*j. Calculate l(k(n)).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-147)\/(-28))\/((-3)\/(-20)). Let n = -32 + r. Suppose -3*o + 48 = n*a, 2*a - o = -0*a + 17. Solve a = -5*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 738, 1446, 2136, 2808?\nAnswer: 3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2518 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/8)\/((12\/8)\/(-3)). Which is smaller: p or 20?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19575 and 2655.\nAnswer: 1154925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and (-6)\/7*7\/(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13920, 13872, 13778, 13626, 13404, 13100, 12702, 12198?\n\"Answer: -2*k**3 - 11*k**2 - k + 13934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -13*h**7\/7 + 4*h**3\/3 + 3. Find the third derivative of g(p) wrt p.\nAnswer: -1560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 28*f**2 - 11*f - 4. Let k = -99 + 111. List the prime factors of i(k).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgggzgzzggggzg. What is prob of sequence gzg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4214 and -4.\nAnswer: -16856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - 109. Let m = -5 - k. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 7*h + 8*h**2 + 0*h**3 + 0 + 4. Let f be m(7). What is the first derivative of 6 - 5 - c**f + 0*c**4 wrt c?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -36*v**2. Let u(x) = -10*x**2 + 20*x + 4. Let c(y) = 3*y**2 - y - 1. Let t(a) = 4*c(a) + u(a). Give t(w(d)).\nAnswer: 2592*d**4 - 576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5012 + 5033. Solve 58*m = 65*m + g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-551)\/285 - (-3)\/5. Which is the closest to 0.2? (a) -10 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -13321\nAnswer: 13318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j**2 + 1. Give t(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j = 12*j + 714. Let y(w) = -3*w - 13. Determine y(j).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a - 20*a + 6 = -2*p, -3*p + 17 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -28*f + 28. Let r be k(2). Is 8927 - (-7)\/(r\/24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:23 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -12\/11, 0.4, -1202?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 431*i = 435*i - 9, -i + 3 = 0. Is m less than or equal to -2\/4429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - b + (-4 + b + 4)*(-1 - 2 + 0))*(-967*b - 958*b + 210*b) as j + f*b**2 + z*b and give f.\nAnswer: 6860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5*s - 3*b**4*s + 2*b*s - 2*b - 62*s wrt b?\nAnswer: 20*b**3*s - 36*b**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*a = 2, -5*a = -4*w - w + 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/47 (b) -0.01 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*(y**(-16\/9)*y*y)\/y*y*y*y**(-27)*(y\/y**(-16)*y*y)\/y*y\/(y**14\/y) assuming y is positive.\nAnswer: y**(-160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661286183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/84 + 522\/7. Let m(a) = -b*a - 2 + 6*a - 30*a. Is m(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 19*b + 23*b**3 + 19*b.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 4:02 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -447 - -449. Let h be (-2 - 0 - -5)*-1. Sort -5, y, 4, h.\nAnswer: -5, h, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -8, -17, -30, -47, -68, -93?\n\"Answer: -2*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 624?\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 2, -3, -634, -1 in ascending order.\nAnswer: -634, -39, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*g**5 - 15*g**4 + 38988*g**3 + 235110*g**2 + 8?\nAnswer: -900*g**2 - 360*g + 233928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187.515 + 187. Let m = p + 0.51169. Round m to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - q**2 + 10. Suppose -3*r = n - 8, 4*n - 65 = 5*r + 35. Let f be 4\/n + 2\/(-10). What is the units digit of o(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (13 - 18) - 23.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -0.135, 9\/4, -1\/5, 0.55, 0.2, -11?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, i: 7}. What is prob of picking 4 a?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03680698625 to 5 dps.\nAnswer: -0.03681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*l**3 - 76300*l**2 + 3260279.\nAnswer: -39*l**2 - 152600*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5 + 5561*m**4 + 27749*m**3 - 172193*m**2 + 238890*m - 100008 = 0 for m.\nAnswer: -5556, -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(100) - (sqrt(1088)*2)**2) + (-3 + sqrt(68) + 2)**2.\nAnswer: -4283 - 19*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25421 and 165.\nAnswer: 381315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-1 - (3 + -2)). Let b(k) = 13*k - 37. Let f be b(3). What is the third smallest value in -4, f, w, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sso when three letters picked without replacement from sosoqssmoosooo?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*h - 66*h - 1142 + 1133 wrt h.\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19970 = -1414*v + 32348 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 65\/10)*-2. Suppose -r*l - 25289 = -2*v, 2*l - 2765 = -4*v + 47773. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.5, 0.45, 0.4, 5 in decreasing order.\nAnswer: 5, 0.45, 0.4, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -3\/2 (c) -376 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 42*r**2. Let a(j) = -3*j**2. Give a(y(m)).\nAnswer: -5292*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 0*q**3 - 13*q**3 + 3*q**3. Suppose 0 = -o - 5*k + 8, -6 = -o + k - 5*k. Let y(s) = -3*s**3. Determine o*n(h) + 7*y(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/2 + 1143*r**2 - 2265*r\/2 - 6849.\nAnswer: -3*(r - 761)*(r - 3)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/(-5) - (-580)\/(-435)*(-4 - -1). Suppose 0 = 3*g + 5*c + 35, -3*g = -2*g + 3*c + 17. Which is smaller: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 412\/(-2781)*(-6)\/(-4) - 476\/(-36).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.187 and -1.494.\nAnswer: 3.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 482430 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9\/(t*t**(1\/2)\/t))\/(t**(-4\/11)*t\/t**(-16)) assuming t is positive.\nAnswer: t**(-179\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1080 - -436?\nAnswer: 14b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0 + 6. Let z = 13 + 30. Suppose z = 5*l + 13. Calculate the remainder when m is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 7) to base 9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**3\/6 - 5*o**2\/2 - o. Let g(i) = -1. Let r(b) = 14*g(b) - 2*v(b). Let c be (3\/1)\/(15\/25). Calculate r(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 4:52 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - d**3)*(1583*d + 28533*d + 39879*d) as l + g*d**3 + h*d**4 + p*d + j*d**2 and give h.\nAnswer: -69995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((58 - 5) + -50)\/(6\/80)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 892824?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 9*i**2 - 7*i + 10. Let y be b(-8). Let w = 0.071 + 0.329. What is the nearest to y in -3\/11, w, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 8 + 24 + -23?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/10 + (-249216)\/(-12980).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 f when three letters picked without replacement from {z: 1, g: 5, f: 2, v: 1, e: 4, c: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b**2. Let h(l) = -2621*l**2. Calculate h(v(s)).\nAnswer: -262100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 562614 and 364.\nAnswer: 7876596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-36)\/14)\/(24\/629552*-7).\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*4\/(-12)*(675\/1080 + 105\/24). Let j = -18 - -36. Let k = j + -9. Which is the third smallest value? (a) t (b) k (c) -3\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n - 3. Let f = -2 + 1.6. What is the nearest to -1 in f, -2, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32936.\nAnswer: 2, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2116, -2117, -2118?\n\"Answer: -s - 2115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 160 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2993 is divided by 727?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 50*d**3 + d**2 - d - 1. Let a(s) = -53*s + 211. Let h be a(4). Give g(h).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(11)*1 - sqrt(11)) + 0)**2 + 0 + -5 - -1*((sqrt(704)*2)**2 + -1 + 3)) + 4.\nAnswer: 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -12710534 in descending order.\nAnswer: 6, 2, -12710534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 15) to base 11\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 633802 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(-77) - (-32)\/7. Let b(d) = -3 + d**2 + 8 - x. Let t(h) = 18*h. Determine t(b(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.86895mg in grams?\nAnswer: 0.09386895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9973579 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o - 5. Let h(v) = -8*v + 4. Suppose 2*b + 3*t - 19 = 6*b, 2*b = 5*t - 13. Determine b*h(u) - 3*d(u).\nAnswer: 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - s**2 + 0*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhhthht?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (17 + -14 + (-8 - -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 573*o**2 + 576*o**2 - 1151*o**2 + 5*o - 3. Let c(s) = -3*s**2 + 6*s - 4. Determine -3*c(j) + 4*m(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 2*m. Let i(q) = 2*q**3 - 3*q. Let l(k) = 4*a(k) + 3*i(k). Let y be l(-2). Which is greater: -13 or y?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423997878 is divided by 10241?\nAnswer: 10237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x - 85017 = 0. Let j be 52558\/4 + (-21)\/14 + 1. Let b = x + j. What is b rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - -145. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3446572750?\nAnswer: 2, 5, 41, 336251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p - 70. Let g be k(22). Let s = g - -160. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 6:54 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*k**2*p**4*w + 1284909*k**2*p**3 + 32*k**2*w + 1130359*p**2 wrt p?\nAnswer: 2352*k**2*p*w + 7709454*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b**2 + 3*b + 2457. Let j(n) = -n**2 - n - 410. Let t(w) = -g(w) - 6*j(w). Suppose 2*z - 9 = -z. Let k = 2 + z. Calculate t(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/2 + 188*v**3 + 3685*v**2\/2 + 4575*v.\nAnswer: v*(v + 5)**2*(v + 366)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1404267530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 * -1.39.\nAnswer: 66.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5884, -11759, -17634, -23509, -29384?\nAnswer: -35259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 5:52 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 7756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -32. Suppose 0 = a*o - 9*o - 550. Round o to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**4\/4 - j**2\/2 - j - 3532. Let m(l) = -8*l**3 - 22*l - 6. What is m(z) - 6*t(z)?\nAnswer: -2*z**3 - 16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2.82 (b) -3 (c) 1\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*y + 16*y**3 + 2248*y**2 - 34*y**3 + 17*y**3 + 21*y as g + w*y + o*y**3 + u*y**2 and give u.\nAnswer: 2248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - (-1 + (-842)\/8). Suppose -5*y + 69 = -s. Calculate the greatest common factor of 21 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = 310*o - 313*o, 2*o - l = 6. Let j(r) be the first derivative of -2\/21*r**3 + 11 + 0*r**o - 1\/21*r**6 + 0*r + 1\/14*r**4 + 2\/35*r**5. Factor j(b).\nAnswer: -2*b**2*(b - 1)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f + 27*f - 10 - 26*f - 10. Calculate the remainder when u(-7) is divided by 2\/(-7) - 30\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 706123.8 millennia?\nAnswer: 7061238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(99) + sqrt(99) + sqrt(99)*1))\/(sqrt(9) - sqrt(63)\/sqrt(7)*-6))**2.\nAnswer: 1584\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 - 2. What is b(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22511, -22439, -22367?\nAnswer: -22295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -112*c + 174 + 693. Let s = -1 + 4. Let q be c*(s\/3 + 1249). What is q rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5*l)**(2\/21)*(l**(-4))**(-50) assuming l is positive.\nAnswer: l**(1404\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5186019 is divided by 1256.\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 4:37 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -427738 divided by -232?\nAnswer: 213869\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = 3*q - 5, -2*q + 4*k = -4. Are q and 10\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 266465 and 106?\nAnswer: 28245290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/10)\/((-3)\/(-30)). Let y = 0 + 7. Let c = b - y. What is the highest common factor of 35 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(1\/8)*s*s**(1\/2)\/s*(s**7)**22 assuming s is positive.\nAnswer: s**(1243\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2 - -2) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-235)\/(-25) + 4\/(-10). Let m(i) = -i + 11. Let t be m(k). Solve t*b = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226266146?\nAnswer: 2, 139, 813907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 10:39 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1)\/((-635)\/(-3175)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j**3 - 3*j - 3. Let l(x) = 33*x**3 + 4*x**2 - 8*x - 6. Let m(q) = q**3 + 2*q**2 + 1. Let u(b) = -l(b) + 2*m(b). Give 8*d(w) + 3*u(w).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949?\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**3 - 20*m**2 - 34*m - 50. Is g(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 5:24 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110120, -110121, -110122, -110123, -110124, -110125?\nAnswer: -110126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/(-5*sqrt(28)\/sqrt(4)))\/((2*sqrt(80)\/sqrt(4))\/sqrt(5)) + 5.\nAnswer: -sqrt(7)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (-9 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j. Let v(d) be the second derivative of 27*d - 2*d**4 + 7*d**4 - 36*d. Determine o(v(k)).\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -16327*u**2. Let m(c) be the first derivative of 2*c**3\/3 - 4832. Give m(o(k)).\nAnswer: 533141858*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3379382 is divided by 60344.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 1 + 1)*((1 + d - 1)*(364*d**2 + 36605*d - 36605*d) + 0*d**3 + d**3 + 0*d**3 - 2*d + 2*d - d**3 + (-3 + 3 + 2*d)*(-2*d**2 - 4*d + 4*d)).\nAnswer: -720*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r - 27. Let u be j(7). Let d(s) = 7*s**2 + 4*s - 3. Let z be d(u). What is the derivative of -13 + 45 - 11*t + z wrt t?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -175, -0.15, -5, 84, -4\/5, 0?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m - 334. Let n(v) = 2*v + 166. Determine 5*n(x) + 3*w(x).\nAnswer: -2*x - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5))**(1\/19) assuming h is positive.\nAnswer: h**(2\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzz when three letters picked without replacement from yzygzyzyzyyyzzyzyy?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**2 + 34*g + 6. Determine i(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1132 - 1135. Let y(n) = -1. Let w(u) = 2*u**2 - 11*u + 5. Determine q*y(r) - w(r).\nAnswer: -2*r**2 + 11*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2360*p + 2370 + 5\/2*p**3 + 1165\/2*p**2 = 0.\nAnswer: -237, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000027441036 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -841 - -15971\/19. Let y = x - 25\/76. Let l be (-1)\/((-1)\/(-3)) - (-40)\/15. Which is the third biggest value? (a) l (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/4, 2, 6.\nAnswer: -27\/4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -208*m**4 + 177*m**2 wrt m.\nAnswer: -4992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 373?\nAnswer: 372.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 152836447646 and 0.92.\nAnswer: 152836447646.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 221*n**2 - 4819*n + 34. Give m(21).\nAnswer: -3704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291886.\nAnswer: 2, 7, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by 4.\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3\/5 (b) 5 (c) -2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*q**5 + 2 + 60*q**5 - 18*q**5 - 6*q - 63*q**5 wrt q.\nAnswer: -940*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36072444 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(2 - 3) - 57\/(-19). Let o(u) = -l - 4 - 4*u - 2*u**2 - 8*u + 0*u. Let p be o(-5). Solve -p*f - 3 = -15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 34893.\nAnswer: 17446.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 223603893 to the power of 1\/2, to the nearest integer?\nAnswer: 14953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:00 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 4*n + 2. Let x be ((-4)\/(-3))\/(7\/21). Let z be o(x). Solve 0*g = z*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 12.22564 micrometers?\nAnswer: 0.00000001222564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 - (-9 - -19)) + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 166*v**3 - 1 - 324*v**3 + 163*v**3)*(v + 2*v - v).\nAnswer: 10*v**4 + 4*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132423 is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 36. Let r(f) = 7*f**2 + 17*f - 8. Let j be r(-4). Let a be h(j). Is a less than or equal to -2\/2657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3115431 + -133?\nAnswer: 3115254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 133, 125, 117?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 148\/20 + (-8)\/20. Suppose -a = -4*v + 5, -2*a + 8 = 3*v - g*a. Find the common denominator of 2 + (v - 0)\/(18\/95) and -121\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -147, 8 in decreasing order.\nAnswer: 12, 8, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*n**4 - 38*n**4 - 10*n**4)*(-1 + 4*n + 1) + 3*n**2 - 3*n**2 + n**5.\nAnswer: -107*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 63 = -19. Suppose 3*i = -m*j + 169, 7*j - 8*j = 3*i - 157. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2)*o*o**(-9)*o)\/(o**(3\/10)*o**(-8)*o))**(8\/9) assuming o is positive.\nAnswer: o**(-32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/105*(-7)\/(-2). Which is the nearest to 4? (a) -0.3 (b) -0.1 (c) h (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -44 + 13 + 13 + -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0 - 6. Calculate the remainder when 40 is divided by (-4 - 1*f) + 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 142.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 7*l + 5. Let i be ((-5)\/(-3))\/(1\/3). Suppose -5*n = p + 4, -n + 2*n + 32 = i*p. List the prime factors of a(p).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30873650?\nAnswer: 2, 5, 617473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -2\/5, -208, 0.4, 2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -336539\/69850 + -1\/6350. Let y be 207991\/24 + -1*(-8)\/(-12). Let g = y + -8677. Calculate the common denominator of i and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:51 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -405255113 - -14?\nAnswer: -405255055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649938305?\nAnswer: 5, 17, 353, 21661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**10\/n*n**(-13)*n*n*n**3\/((n*n*n*n\/(n*n*n**(5\/6)*n*n))\/n) assuming n is positive.\nAnswer: n**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.1 and -0.1513?\nAnswer: 2.2513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from avvoorvirofrf?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 + 0.27. Let p = -13 - -8. What is the second biggest value in z, 3, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 46*t\/3 - 100\/3.\nAnswer: 2*(t - 25)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 835032 and 528.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*r**2 + 5 + 2*r**4 + 268*r**2 - 5 - 209*r**3 + 26*r**2 wrt r?\nAnswer: 48*r - 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - u**2 + 2*u**2 + 3*u - 3*u**2.\nAnswer: 3*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2822*d - 16. Let u(h) = -998990*h + 5660. Calculate -1415*g(v) - 4*u(v).\nAnswer: 2830*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4760000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000243643 to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*q + 10, i = -5*q + 10 + 1. Let s = i - 2. Is s*-7*(-2 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 2, q: 3, p: 6, v: 1}. Give prob of picking 1 m, 1 d, and 1 q.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 17. Let l(i) = -176*i. Determine l(z(n)).\nAnswer: 352*n**2 - 2992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 189774 take away 0.18595?\nAnswer: 189773.81405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 284*a**3*m**2 - 3*a**3*m - 208*a**2 + 3*a*m**2 - 2*a*m + 577*m**2 wrt a?\nAnswer: 1704*a*m**2 - 18*a*m - 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1622 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*16\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 3*z**2 - 2*z. Let x(a) = -a**3 + a**2 - a. Suppose -v + 5 = -1. Let l(s) = -s**2 + 5*s + 7. Let h be l(v). What is h*d(c) - 3*x(c)?\nAnswer: c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*w = -103*w - 196*w + 660. Factor 3\/2*f + 0 - 3*f**2 + w*f**4 + 0*f**3 - 3\/2*f**5.\nAnswer: -3*f*(f - 1)**3*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1013*n + 596677. Give i(-590).\nAnswer: -993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8216 (base 9) to base 4\nAnswer: -1131321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-105))\/(234\/4914).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4\/7 - 1756*j**3\/7 - 4*j**2 + 12268*j\/7 + 10536\/7 = 0 for j.\nAnswer: -2, -1, 3, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 3*z**2 + z**2)*(-2273*z - 160*z + 18828*z).\nAnswer: -32790*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(98)*-2)**2.\nAnswer: 6272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - 5 - o**2 + 0*o**3 - 6*o - o**3. Let z be d(4). Suppose 5*k - z*k - 202 = 0. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 0*x = 2*x - 30, 4*i + 4*x = 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afa when three letters picked without replacement from faaffaaaaaafaffaafff?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2704662 and 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -136500*j**3 + 2002*j**2 + 4004*j + 1001. Let m(s) = -546*s**3 + 8*s**2 + 16*s + 4. Determine 1001*m(z) - 4*p(z).\nAnswer: -546*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k - 4 = 0. Let v(h) = h - 5. Let m be v(5). Suppose m*c - c = 3*u - 16, 2*c + u = 12. Sort c, k, 1 in increasing order.\nAnswer: k, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m**3 + 6 - m**2 - 5 + 6*m**3. What is h(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-4)*(-2)\/12. Let w = 16\/3 - 20\/3. What is the third smallest value in y, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433 (base 6) to base 11.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/135 and -56\/196965.\nAnswer: 196965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -42 - (-4 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -756*c - 3364. Determine y(-2).\nAnswer: -1852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:01 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378825, 753906, 1128987, 1504068, 1879149, 2254230?\nAnswer: 2629311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*a + 691 + 1758 = -1336 + 393 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) + (-1676)\/(-14). Suppose 253 = 6*l - 107. Suppose -47*r + l = -43*r. What is the greatest common factor of y and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 188, 183?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/66)\/((-125)\/150).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -25 - -1) + 1. Suppose s = 5*l - 30. Let n = l + 7. Solve 2*g + n = -k - 2*g, k - g = 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - t**2 + 7. Let r(y) = 2*y + 12. Let k be r(-5). Let w(p) = p**3 + p**2 + 4*p - 3. Calculate the remainder when w(k) is divided by z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4594*c**2. Let i(b) = 67*b - 3. Let d(m) = 112*m - 5. Let n(f) = -9*d(f) + 15*i(f). Determine s(n(r)).\nAnswer: -41346*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*d**2 - 346 - 336 + 40*d**2 - 217*d**2 + 682.\nAnswer: -399*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a week?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 1740 = 9206. Let w = -840 + p. Solve 5*k - 4*l - 13 = -w*l, -2*k - l = -7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*k - k. Suppose -v - 2*v = -12. Suppose 0 = 34*m - 0*m - 102. Solve -v*f + k*f + m = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 949\/(-351)*-6 + (36 - 50)\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 18 = b, -2 + 20 = p + 5*b. Let x(q) = 2*q - 11. Is 3 a factor of x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = 35*z - 92 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6)*(-6)\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22773.4605s to days.\nAnswer: 0.26358171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 410540?\nAnswer: 410531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 3*a + 11. Suppose 3*w + 43 = 4*l, 4*w + 17 + 7 = -3*l. Is f(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 q, and 1 d when three letters picked without replacement from {q: 1, d: 1, g: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4470 divided by 1490?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:52 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 1. Let l(x) = -x**3 + 6*x - 6. Suppose 0 = 4*u + 33 - 45. Let n(z) = u*b(z) + l(z). Let k(t) = -4*t**3 + 8*t - 8. Give 3*k(f) - 8*n(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/383500 and -167\/8496000?\nAnswer: 110448000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 + 114. Solve 6*a + d = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/636*9*68905\/(-60). Let l = -1\/424 + q. Let a = -1\/62 + 204\/155. Find the common denominator of a and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -344*m + 345*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-1 - -1)) + (334 - 339).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:23 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3261*q - 3293*q + 5*q**2 - 3303*q + 9857*q.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -68*x**2 + 47*x**2 - 198*x + 61*x + 28*x**2 - 123*x. Let a(o) = 2*o. Give g(a(b)).\nAnswer: 28*b**2 - 520*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10300068 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by 62612\nAnswer: -41\/15653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/4 + -74 + -3. Let w = m + 77. Solve w*x = -3*g + 31, -2*g + 6*g + 2*x = 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from sdssssssssds?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3479, 3484, 3493, 3506, 3523, 3544, 3569?\nAnswer: 3598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:12 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 a when four letters picked without replacement from {b: 2, t: 6, v: 4, w: 1, a: 7}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**4 + 25632*f**3 + 2*f**2 - 767448*f.\nAnswer: 24*f**2 + 153792*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18348289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 0.11, 0.02, 1\/23, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**2 + 16*y**2 + 40*y**2.\nAnswer: 71*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*o = 1, -3*y + 9 = -5*y - 3*o. Let w be (y\/4)\/(16\/(-192)). What is the second derivative of -5*d - 2*d - 3*d**4 + w*d + 6*d**4 wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + (-16 - -7) - (-9 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 20 = 4*g. Suppose 0 = v + g - 2. Let n = -636.5 + 637. Put -2, n, v in descending order.\nAnswer: n, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*q + 7*q + 0*q - 24*q in the form s*q + w and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*h)*(h**2 + 2*h**2 - 4*h**2) + (3 + 1 - 3)*(-82*h**2 + h**3 - 3*h**3 + 77*h**2).\nAnswer: -4*h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6)\/(2\/(-220)). Suppose -33 - 19 = -4*l - 4*m, -5*m = 4*l - o. Calculate the greatest common divisor of 25 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000077868 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 27*a**2 - 161*a + 68. Calculate n(-32).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - 2 - 78. Let u(o) = o**3 + 10*o**2 + o + 14. Determine u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 265407316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16941 - 16938. Solve 27 = -6*z + j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4\/(-6))*36\/432?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -26*(-1 + 1\/2). Suppose -12 = -16*g + 612. What is the greatest common factor of i and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 5*h + 3162. Suppose -8*g + h = -5774. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1898.395329 to 0 dps.\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2800 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49401694.\nAnswer: 2, 17, 1452991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**5\/60 - o**4\/12 + o**3\/3 + 4*o**2. Suppose c + 0*c = 3. Suppose -s + 0 + c = 0. Give i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186293726?\nAnswer: 2, 93146863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 13, 30, 51, 76, 105, 138?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) -0.02 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -203*s + 5241 - 9098 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-449 - 439 + 177*c + 886)*(-3*c - c + c) in the form z*c**2 + d*c + l and give z.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 6*v - 8*v. Let u be ((-33)\/v - -4)*-20. Let s = 82 + u. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 5, h: 8, n: 3, t: 2, p: 1}. Give prob of sequence hp.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/136)\/(3\/8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 - 2*v + 1. Give m(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30145643 to the nearest integer?\nAnswer: 5491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 494\/7 in -9, 0.2, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 9, 3*w + 0*w = 4*m - 2219. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/2 (b) 2\/11 (c) 0.1 (d) 119 (e) 0.147 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*z + 14, -5*u = 2*z + 195. Let d = -16 - u. Solve -3*x + d = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1, 5, -4.\nAnswer: -5, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488385929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 918*k**2 + 7325*k - 155. Determine a(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2 + 1 - 3*x + x**3 - 1 + 3*x**2. Suppose 5 = -4*w - 7. Determine f(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 + -1081532028.\nAnswer: -1081531874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 - -95. Let r be 9\/6 + (8\/(-4))\/z. What is the nearest to -1\/4 in r, -2, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13067 - 13630. Is -567 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*b, 5*n - 4*b - 10 = b. Let h = -4 + n. Let z(s) = -s**3 + 5*s**2 - 5*s + 5. What is the remainder when h is divided by z(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 49.\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(4 - 4 + 5*k)*(4*k + k + 3*k)*(1 - 1 - 1).\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 31. Let a be k(-7). Let g = -46 + a. Suppose -g*r = -2*r - 16. Solve r*m + 7 = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0481324 litres to millilitres.\nAnswer: 48.1324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 550831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(28\/(-20)) + 110. Let o = 115 - j. Solve -3*z + 5*z + 8 = o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.5 + 18.6. Let z = 8 - q. Which is the nearest to 0.1? (a) 1\/2 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3452 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315950415 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -22. Let y(d) = 2*d - 9. Let b be y(l). Suppose -5*o - 5*x - 40 = -2*x, -3*x = -3*o. Sort -1, b, o in ascending order.\nAnswer: o, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 154080, 308157, 462234, 616311, 770388, 924465?\n\"Answer: 154077*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -587*r + 5643 + 3162 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, -0.5, 1\/5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4932 is divided by 2302.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and ((-24)\/(-36))\/(2\/60)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -10047.\nAnswer: -25\/10047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n - 1. Let u be p(-2). Let i be ((-1)\/(-2))\/(u\/(-44)). Let b(m) = m**i - 2 + 0*m**2 + m**2 + m - 2*m. What is b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 2*f + 8*f)*(1 - 5 + 5)*(4 + 0 + 5) as g + c*f and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1*sqrt(300) - sqrt(300)) + 4 + sqrt(300) + 1)**2*-6.\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/35 - 88\/(-154).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v + 48. Let x(m) = -10*m + 97. Let r(w) = 5*b(w) - 3*x(w). Let t be r(11). Solve -c - t*z + 1 = -3, -3*z + 3 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -896450 by 179290.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -144.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + h + 11. Let m = 13 + -10. Let w = -3 + m. What is the tens digit of p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/60 + t**4\/3 - t**2. Let d be r(-8). Suppose -3*j + 13 + 11 = d. What is the smallest common multiple of j and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(-3*z + 4*z + 0*z) + (2 + 0 + 1)*(6*z - 4*z + 3*z) as q + v*z and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1111822416 and 261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14177691 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*g + 3*n, -20*g + 1 = -19*g + 2*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*t - 263*t + 83*t.\nAnswer: -239*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 m when three letters picked without replacement from {x: 7, m: 1, d: 5}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 10 (c) -1\/7 (d) 1 (e) 83710\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10301203100 (base 4) to base 11\nAnswer: -785330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - t + 67 = -113, -2*n + 3*t + 104 = 0. Suppose 9*c = 14*c - 850. What is the remainder when c is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562 + 2 = 41*p + 26*p - 11*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -2\/7, -0.08, -2\/11, 1, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4 + 188*j**3 - j**2 - 113*j wrt j?\nAnswer: 24*j + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*m**2 + 11613*m**3 + 64754*m**3 - 63*m**2.\nAnswer: 76367*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/350 and 25\/154.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*v - 14*v + 4*v)*(15 + 50 + 39).\nAnswer: -3120*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 47. What is the remainder when 28 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.33. Let m = 0.03 - c. Is -3 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 748\/9 or 82?\nAnswer: 748\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-21))\/((-4)\/(-28)). Sort b, -1, 2, -5 in increasing order.\nAnswer: -5, b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/84 and 43\/18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + q)*(0*q + 5*q**2 + 0*q)*(3 + 0 + 2).\nAnswer: 25*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4540*q + 1175. What is the thousands digit of l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 1\/4 (b) 3 (c) 2\/15 (d) 2475 (e) -33 (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10324)\/(-10))\/((-10)\/(-25)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2394*d**5*p + 6*d**3*p**2 - 2*d*p**2 + 10823*d*p + 2*d wrt d?\nAnswer: 47880*d**3*p + 36*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/6 + (-2)\/(-6). Let h be 2*z + -12 + 9. Suppose h*j = 4*j + 5*o - 8, -3*j = 4*o - 46. Calculate the greatest common divisor of 162 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41006 and 30767226?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 9*a**2 + 10*a - 4. Suppose 0 = 3*b - 6*b + s + 20, 2*b + s = 20. Let l be v(b). Find the common denominator of 17\/14 and 275\/l - 2\/(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 14) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + (3 - 6 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 0.1 (c) 0.5 (d) -5 (e) 36 (f) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 1 + (-2*3\/(-2) - -26).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 55*t + 838. List the prime factors of g(33).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**2 + 2*i**3 - i - 5*i**2 + i**3)*(-2*i + 1 - 1).\nAnswer: -6*i**4 - 6*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*c**(2\/3))\/c))*c)\/c**(7\/3)*(c\/(c\/(c**(-4\/7)*c)))\/(c\/((c**(-3\/2)\/c)\/c)) assuming c is positive.\nAnswer: c**(-199\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -40. Solve -5 = -h*u - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5\/5 + 16*h**4\/5 - 2*h**3 - 32*h**2 + 88*h\/5 + 224\/5 = 0?\nAnswer: -7, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1377 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-35) + (-21)\/(-45))\/(14\/(-24)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1230 in -0.047, -5\/6, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3004 = -47*d + 67*d - 1396. Is 216 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18538 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 3 - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 3*f**4 + 0*f**4 + (-2*f - f + 0*f)*(4*f**3 + 3*f**3 + 4*f**3).\nAnswer: -31*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -15. Suppose 0 = 31*a - 30*a - 136. What is the highest common divisor of a and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - h - 1. Let c be 12\/9 + 3\/((-9)\/7). Let p(u) = -36*u**2 + 18*u + 18. Calculate c*p(a) - 18*z(a).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 64, -2\/3 in decreasing order.\nAnswer: 64, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -87, -70, -47, -18?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12694 - 12649. What is the remainder when 304 is divided by z?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*p**3*x**2 - p**3*x + 10809*p**3 + 31*p**2*x**2 - 12*x**2 + 1 wrt x?\nAnswer: -14*p**3 + 62*p**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 7:23 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6632691.\nAnswer: 3, 13, 19, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**2 - 4*y + 9. Let c be w(-3). Suppose -j - 61 = -c. What is the remainder when 109 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(84)*2*4)\/(5*-2*sqrt(12)).\nAnswer: 16*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 296.017, 0.8, -4, -2\/7, 1\/4 in descending order.\nAnswer: 296.017, 0.8, 1\/4, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/16*30\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.682803 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -17*f**2 + 320*f + 17. Calculate i(19).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f + d + 2, -3*f = -d + 2. Let c be (-30)\/(-42) + f\/(-7). What is the third biggest value in 5, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 4*z + 11*v - 10, 0 = 4*z - v - 7. Factor -9*k + k**z + k + 0*k + 7.\nAnswer: (k - 7)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.466854 millennia to years.\nAnswer: 2466.854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a - 417 = 0. Let u = a + 761\/6. What is the common denominator of 99\/8 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -619*u - 12999. What is j(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*d + 7*d - 1 + 14*d + 0*d to k*d + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*m = 89*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (350\/28 - 10)*40\/125.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8443.1 - 8443. Let g = 214\/3 - 70. Put 0.5, g, 1\/7, a in descending order.\nAnswer: g, 0.5, 1\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/254 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1138 and 7\/385782.\nAnswer: 385782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575 = q + 6*q + 18*q for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*c = -333*c - 87. Calculate the smallest common multiple of c and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.624 + 0.376. Let j = -1 - -1. Let r = -0.07 + 3.07. Which is the nearest to j? (a) 0.3 (b) r (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -c - 6. Solve 9*j - 4*j = 5*g - 15, 3*g + 2*j = c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 171.04 - 4.04. Let d = z + -166.862. Round d to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r - 27. Suppose -2 = 3*o - 2*w, 9*o = 12*o - 3*w - 3. Give q(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163565.\nAnswer: 5, 32713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*252*548\/1233.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8439.2 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 27 + 3 = 0. What is the tens digit of 28*(-5)\/(-2) - q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**2 - 8468*i - 25332.\nAnswer: -4*(i + 3)*(2*i + 2111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 9*f - 1. Let t be k(9). Let j be t + (6 - 1) + -2. Suppose -2*c - 4 = -u, 0 = 5*u - 2*c - j*c - 8. Solve u*s = -5*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 10. Let h = -2 - q. Find the first derivative of 0*j**3 - h + j**3 - 2*j**3 wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**10\/211680 - q**9\/35280 + q**7\/4410 - 7*q**4\/24 + 4*q**2. Let a(b) be the second derivative of s(b). Factor a(l).\nAnswer: -l**2*(l - 1)*(l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-455)\/25025)\/((-7)\/14245)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 7*t**2 - 6*t - 58. Calculate k(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-26)\/(-14) - 828\/(-161). Suppose -o*w + 3 = -7. Which is the third smallest value? (a) -5 (b) w (c) -3 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 63. Let d = m + 33.02. Let h = -0.020112 + d. What is h rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198654021 > 198654020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - -48) + (3 - 1 - -12) + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 9 + 5*p)*(-4 - 27*p + 4) + 10*p - 7*p**2 - 10*p in the form j*p**2 + h + f*p and give j.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 - 154. Suppose 4*q - 4*k + 52 = 0, -3*q + 2*k - 36 = 6. Let y = q - d. Solve y = 3*b - o, 8 = 4*b - b + 5*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13457 = -5*d + 8138. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 + a**2\/2 + 2*a - 2.\nAnswer: -(a - 2)*(a - 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256527.\nAnswer: 3, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 10*v + 6. Let x(d) = 2*d**2 + 2. Suppose -2*u = -4*p + 63 - 53, -5*p - 5*u - 10 = 0. Let n(i) = p*r(i) - x(i). Determine n(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - q + 1. Let i(m) = -178*m**3 - 2*m**2 - 3*m - 2. Calculate i(a) + 2*v(a).\nAnswer: -178*a**3 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -830*p**3 + 829*p**3 + 3*p**2 + 15*p - 3 - 11*p. Let t(s) = 4*s**2 + 4*s - 4. Determine 4*b(q) - 3*t(q).\nAnswer: -4*q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x - 150. Does 57 divide (-5)\/(x\/1617)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130873*u - 209982*u + 11646*u + 73013*u.\nAnswer: -256196*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 9:27 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 6609090.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w. Let l = -107 + 110. Let f(m) be the first derivative of m - 29. Calculate l*f(n) + o(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 100 = -2*d + 1832, 3*d - 2868 = 3*h. Let p = 5869\/6 - d. Calculate the common denominator of p and 33\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5227, 10365, 15409, 20359, 25215?\n\"Answer: -47*w**2 + 5279*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6560 - -6548.547. What is w rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2. Let q(d) = 856*d**2. Give q(p(a)).\nAnswer: 7704*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(6\/7)\/s)\/(s\/(s\/(s\/(s*s*s*s**4)*s))*s))**47\/(s**(-2\/15)*s*(s\/(((s\/(s*s**(-6)))\/s*s)\/s)*s*s)\/s)**(-39) assuming s is positive.\nAnswer: s**(3433\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 4, 0, -11, -3\/8?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + ((-20)\/5 - -1). Let g be x\/(-5) + (-152)\/305. Let h = g + 1128\/305. What is the common denominator of -39\/23 and h?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 115 = 2*y, 3*y - j - 175 = j. List the prime factors of y.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + o - 1. Let t(z) = -5*z**2 + 4*z - 4. Let q(j) = 4*n(j) - t(j). Let d(r) = 22*r**2. Determine d(q(h)).\nAnswer: 198*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h**2. Suppose -18 = -u - 0*u - 4*s, 3*u + 2*s - 14 = 0. Let x(l) = -4*l**2 + 13*l - 13*l + 2*l**u. What is x(k(m))?\nAnswer: -242*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28777 - 13397. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 - -48. Let q = b - -81. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302176.\nAnswer: 2, 40693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219 and 68547?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -235354454 and 0.4?\nAnswer: -94141781.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t - 56*t - 16 = 2*k, -k + 12 = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 - (216 - 123) - (1 + -17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.834 times -0.7?\nAnswer: 0.5838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - 5. Let x(f) = 12*f**2 + 11*f**2 - 32*f**2 + 10*f**2. Calculate p(x(u)).\nAnswer: 2*u**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 - 9 - -4) + -5. Factor 0 - 9\/2*z + 3\/2*z**a.\nAnswer: 3*z*(z - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 13*b - 17*b)*(2*b**2 - 4*b**2 + 0*b**2) to v*b + a + u*b**3 + h*b**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -5, 10, 5, -0.2, -1\/3, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*1*-2*-4 - (2 + sqrt(17) + sqrt(34)\/(-1*sqrt(2)) + sqrt(17) + -4))**2.\nAnswer: 252*sqrt(17) + 67477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -112*i**2 + 4*i. Let z(m) = -m**2 - 4*m - 1. Give a(d) + z(d).\nAnswer: -113*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnny when four letters picked without replacement from gnryrnnnnjyrjrjnng.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2972, -2960, -2924, -2852, -2732, -2552?\nAnswer: -2300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 311433407139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*g + g + 2*g - 5*g + (2 - 2 + g)*(2 - 5 + 2) - g - 1 + 1 + (2 - 3 - 1)*(-4*g + 2*g + g) + 4 - 2*g - 4 + 78*g - 38*g - 27*g.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 53*f + 227. Does 61 divide t(45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 761*g + 2544*g - 15 + 1517*g + (3*g + 5*g - 3*g)*(2 + 0 + 1).\nAnswer: 3315*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 - 4888*o - 488175\/4.\nAnswer: -(o + 25)*(o + 19527)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = 8*b - 5*a, -6*b + 3*b - 5*a - 153 = 4*b - 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0 + 4. Let a(w) = -w**3 + 17*w + 9. Let u be a(-4). Let i = u + 6. Solve 0 = 2*x - 3*f - 5, b*x = 3*f + 2*f + i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2100471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 1213121?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*x = -508, -2*v + 7*v = 3*x + 866. Let y = v - 29. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 - 91*o - 478. Calculate v(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 35035 = -23*m. Is 35 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10140)\/84*(-78)\/2535\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 44. Let k(n) = -63*n**2 - n - 1. Let w be k(m). Let b = -61 - w. What is the remainder when 14 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17.24, -8\/11, -10\/9 in ascending order.\nAnswer: -10\/9, -8\/11, 17.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 498207772 divided by -146?\nAnswer: -3412382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/(-5) - (-17173568)\/1160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**9\/3780 - 2*t**7\/315 + 11*t**4\/24 + 12*t**2. Let c(i) be the second derivative of y(i). Factor c(z).\nAnswer: 4*z**2*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1043*c**2 - 5*c + 1353. Let u(v) = -1565*v**2 - 7*v + 2030. Let x(o) = 7*i(o) - 5*u(o). Differentiate x(a) with respect to a.\nAnswer: 1048*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422*t - 438*t = -288. Let j = 21 - 15. What is the highest common divisor of t and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -987 + 1799. Let p = 828 - j. Let n = -2 + 7. Solve 20 = -n*w, -4*v + 3*w = -4 - p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000170204 rounded to six dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 725*q**2\/3 - 129583*q\/3 - 131767.\nAnswer: -(q - 391)*(q - 337)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/99 + 1\/(-18). Which is the fourth biggest value? (a) 5 (b) -2 (c) p (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -7, 8, 29, 56, 89, 128?\n\"Answer: 3*z**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0094 and 124.\nAnswer: -1.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2746 times 9.49\nAnswer: -26059.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102193 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -5 - 18\/2. What is the common denominator of (26\/15)\/((-4)\/(-3)) and ((-63)\/24)\/(t\/(-15))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, -0.2, -146, 5\/4 in decreasing order.\nAnswer: 5\/4, -0.2, -132, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4595 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1110049808 + 0.1.\nAnswer: 1110049808.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10\/44*(-8)\/(-10)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/8)*(k*k**(1\/7))\/k*(k**(1\/6)*k)**(-6\/17))**(2\/139) assuming k is positive.\nAnswer: k**(-137\/66164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.208, -4, 2\/21, -16 in increasing order.\nAnswer: -16, -4, -0.208, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129860 or -129987?\nAnswer: -129987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = -2*f. Let u be -5 - 1\/(1\/(-2)). What is the remainder when (2*(14 + u))\/1 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 99.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5169.\nAnswer: 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n - 121. Give s(34).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0.2, -5, 7\/4, -0.4 in descending order.\nAnswer: 7\/4, 0.2, 0.01, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 < 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2824 = -2*p - 2814. Suppose p*h + 360 = 3*i, 2*i - 3*h - 186 = 54. Calculate the greatest common divisor of i and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*w - t + 41, -5*w + 5*t = 70. Let f(r) = -r**2 - 10*r + 10. Let y be f(w). Put y, -5, 6 in ascending order.\nAnswer: -5, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257640236 divided by -36805748?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) 0.3 (c) -8\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:24 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i - 27. Give u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/32 - 4\/(-10)*(-30)\/24. What is the closest to -4 in a, 0.2, 12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(2 + 1 + 0)*(3 - 3 - 2)*(0 + 0 - 5*b**2) + (b + 0*b + 0*b)*(b - 2*b + 2*b) + 10*b**2 + 6*b**2 - 9*b**2.\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17 and 1.42746.\nAnswer: 0.2426682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*n**2 + 1 - 30*n**2 - 2*n**3 - 2 - 113*n + 7 + 112*n in the form t*n**2 + z*n**3 + v*n + k and give t.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -5*g**8\/336 - g**7\/7 - 3*g**6\/8 + 223*g**2. Factor o(t).\nAnswer: -5*t**3*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, 32, 104, 218, 380, 596, 872?\n\"Answer: y**3 + 12*y**2 - 7*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 53*q - 89. What is the units digit of r(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 1 = 48*u - 50*u + 3, -7*b = -16*u + 50 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 48427890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 2*q - 5. Let o be p(6). Let b = -25 - o. What is the remainder when b is divided by -4*25\/(-20)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1662913, -1662894, -1662863, -1662820, -1662765, -1662698?\n\"Answer: 6*n**2 + n - 1662920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*i - 123. Suppose 2*h - i - 3 = 0. What is the highest common factor of 18 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10 = -18. Let k(v) = -v**3 - 7*v**2 + v + 10. Let s be k(x). Let r be (-32)\/14 + 7 - 5. Which is the smallest value? (a) 0.1 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*a - 95*a - 1400 = 0. Solve -a*n - 7*n + 160 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.138 - -59.862. Let h = r - 42. Do h and -2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302174021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001392228 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - d + 14 = 0, -4 = -j - 2*d - 3. Suppose -j*k = -5*o + 497, -2*k + 404 = 4*o + 2*k. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**7\/420 + z**4\/8 + z**3\/2 + 3*z**2. Let u(q) be the first derivative of d(q). Find the first derivative of u(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (897 - (-224)\/(-16)) + 7 + 0. Calculate the greatest common factor of y and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**6 + 48*p**4 + 339*p**2?\nAnswer: 120*p**3 + 1152*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 7*k = 306 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.7, 182, -0.2, -4?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(12)\/sqrt(4) + -2 + -2 - 4*(sqrt(243) + 4))**2*-2.\nAnswer: -8150 - 2800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7028185 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58*a**2 + a + 193 wrt a?\nAnswer: -116*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 260302105543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z - 73 - 407. Let o be (-12)\/3 - -1 - z\/25. Which is the fourth biggest value? (a) o (b) 5 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p + 75. What is the lowest common multiple of 2 and t(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 5, -183, 1\/12, -2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 164955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -13469*q + 4. Let d(h) = -20186*h + 6. Calculate 5*d(f) - 8*r(f).\nAnswer: 6822*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(212*n**2 - 215*n**2 - 261*n**2 + n**4)*(-26 + 42 + 19).\nAnswer: 70*n**4 - 18480*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 44, 1763, -5 in decreasing order.\nAnswer: 1763, 44, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8885*v**3 - 4*v**2 - 30*v - 15. Let d(p) = -4442*p**3 - 2*p**2 - 16*p - 8. What is 8*c(r) - 15*d(r)?\nAnswer: -4450*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15990811 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/8)\/(7\/14 + 0). Let p = 1 + 0. Let v be (-1)\/(-4) + (-2)\/(-8). What is the nearest to p in 0.02, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3304 and 31432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -250\/13 - 2\/13*p**2 - 252\/13*p.\nAnswer: -2*(p + 1)*(p + 125)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 5, -3*a + 4*i + 2 = 0. Let n(w) = 2*w**3 - 2*w**2 - 2. Calculate the remainder when (-1 + -9)*(-1 - 0) is divided by n(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10332\/9)\/((-10)\/(-25)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a130a (base 12) to base 3.\nAnswer: 101122102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*g**2 - 2*g**2 - 37*g**3 - 6*g**3 + 7*g**3 wrt g.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1 + 1 - l + 3*l. Let d(u) be the second derivative of 1\/6*u**3 + 0 + 3*u + 0*u**2. Give d(c(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - h + 59*h**3 - 7*h**2 - 136 + 0*h**2.\nAnswer: 59*h**3 - 3*h**2 - h - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-5))\/(1\/10). Suppose y = -0*r + 4*r. Let s(l) = 2*l**3 + 3*l**2 - 57*l - 6. Let h be s(-6). What is the greatest common factor of r and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = 5. What is the remainder when (126 - (-8)\/4)*d - 1 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-132)*171\/(-30) and 37\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 - (3 + 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 7*l**2 + 2. Let v be h(7). Let z(k) = 14*k**v + k**3 - 17*k**2 + 11*k**2 - 4*k + 6. Calculate the remainder when z(-8) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 - 141. Let m(z) = -167*z**2 + 5. Let j be m(-4). Is r\/2 + j\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, -3, 2, -193, -17, 1 in decreasing order.\nAnswer: 12, 2, 1, -2, -3, -17, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*(t**(2\/5)*t)\/t)*t)*t*t**(-7\/4)*t)\/(((t*t**(-2)*t)\/t)\/((t\/(t**(-5\/3)\/t))\/t)))**30)**(-12) assuming t is positive.\nAnswer: t**(-1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -70. Let q = -0.5071 - -0.6071. Which is the second smallest value? (a) 4 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j - 3*f - 6, -5*j + 6 = -3*f. Let p = 88 - 58. Suppose j*x + p = 5*x. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -729, -2988, -6755, -12030, -18813, -27104, -36903?\n\"Answer: -754*m**2 + 3*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160 + 54 - -22) + 115?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28479160 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3504.29 rounded to the nearest 10?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:33 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9536 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 227*i - 42*i + 740 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 479, 461, 425, 365, 275, 149, -19, -235?\n\"Answer: -j**3 - 3*j**2 - 2*j + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -0.05, 2083, 5 in decreasing order.\nAnswer: 2083, 23, 5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + 20*o**3 + 23*o**3 + 2973*o**2 - 2971*o**2 as h*o**2 + x + s*o**3 + y*o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2) - (-8)\/16. Solve -c + j*y + 0 = -4, -4*c - 2*y - 4 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Suppose v = 4*r - 2*r + 50. Let l = r + 46. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 92*n**2 + 5*n + 241. Give y(-46).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.50338 times 0.3\nAnswer: -0.151014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 20. Suppose -3*c - 3*k = -27, -s = 3*c + 2*k - 33. Let b(n) = n**2 - n + 1. Calculate the least common multiple of c and b(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0405 - 3.0305. Let c = 8.36 - a. Round c to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 158 - 152. Solve x*b + 288 = 276 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*b*k*n - 1510*b*k - 6922*b*n + 211*b - 3*k*n + 2*k - n - 1 wrt n.\nAnswer: 79*b*k - 6922*b - 3*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + 100000110000111101?\nAnswer: 100000110000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011011 - -10000001111010?\nAnswer: 1111011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 39*l - 2938 = -41*l, -b - 3*l + 742 = 0. What is the remainder when b is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 8637704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 2*t**2 - 3*t + 8. Let n be w(2). Find the third derivative of -637*g**3 + n*g**2 - 7*g**4 + 635*g**3 - 3*g**2 - 31*g**4 wrt g.\nAnswer: -912*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 4 in increasing order.\nAnswer: -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/55 - (-54)\/10. Is -1 - (2 - 4784) - (t + -8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 437 + -55792\nAnswer: -55355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 474333659, 948667318, 1423000977?\n\"Answer: 474333659*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + 0 + (319 - 316) - (31 + -14)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -12*v - 12. Suppose 4*t - 3*t - v*n = 8, 4*t - 14 = 3*n. What is the highest common divisor of t and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 + 1))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(t + t - 4*t) + (-65*t - 38*t - 2*t)*(-2 + 3 + 0).\nAnswer: -101*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 489673 - 282344. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c + 16. Let n(l) = -l**2 - 8*l - 16. Let j(f) = -m(f) - n(f). Let w(p) = p**2 + 21*p - 25. Give w(j(z)).\nAnswer: z**4 + 21*z**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*v - 1410 = 699, v = -5*f + 10545. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(((sqrt(704) - (0 + sqrt(704) + sqrt(704))) + 0)**2 + sqrt(704)*-5*-3 + sqrt(704) + 3).\nAnswer: 1536*sqrt(11) + 8484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -4. Let i = -5 - k. Let g = -0.02 + -0.18. What is the smallest value in g, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3 - 1. Let r(c) = -1 + 5 + 4*c + c + 3*c**2 + 2*c. Let y(x) = -4*x**2 - 10*x - 6. Let l(q) = -7*r(q) - 5*y(q). Give l(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*p + 6*p - 2*p)*(-3 + 1 - 2)*(-2*p + 0*p - 6*p) to y*p**2 + g + q*p and give y.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 3. Let j be u(-5). Suppose -4*c + 14 = 82. Let g = c - -22. Solve -g*p - j*f - 22 = 0, 2*f - 21 = 5*p + 3*f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.57? (a) -5 (b) -3 (c) -0.1 (d) 0.029 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -123, -245, -357, -453, -527, -573, -585, -557?\n\"Answer: s**3 - s**2 - 126*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 14. Let f(k) be the second derivative of 0*k**3 + 1\/12*k**4 + 0 - 2*k**d + 2*k. Give f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240598279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 31, -4, 5 in increasing order.\nAnswer: -4, 0, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(286)\/(-2*(sqrt(11) - sqrt(539)) + sqrt(11)))\/((sqrt(1800)*-1)\/sqrt(9)).\nAnswer: -sqrt(13)\/130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 959 divide 30301249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 4*x**3\/3 + 67*x**2\/2 - 8*x - 2. Let s be d(-9). Let c(n) = -n**2 - 2*n + 6. What is c(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/544 and 35\/18.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 2*s - 360, -8*s + 520 = 3*u - 7*s. Put u, 4, 3, 2 in ascending order.\nAnswer: 2, 3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16048, 32040, 47982, 63874, 79716, 95508?\nAnswer: 111250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**5 + 4*x**3 + x**2 - 4. Let p(w) = -w**6 - 3*w**5 - 3*w**3 + 3. Let s(c) = -4*p(c) - 3*u(c). What is the third derivative of s(l) wrt l?\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6646 at least as big as 1.92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*j*x**2 - 7*i**2*x**2 - 66*i**2 - 2*i*x - 4*i + 2*j*x**2 + 116*j + x**2 wrt i?\nAnswer: -2*j*x**2 - 14*x**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -5*c - 4, -4*r - 8 = -4*c. Let g be (-20)\/8*(r - 10). What is the greatest common divisor of 665 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -248\/11*t + 6\/11*t**2 + 82\/11 = 0.\nAnswer: 1\/3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 6540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**21)\/n)**(2\/19)\/(n**(10\/9)*n*(n*n**(-29))\/n*n*n) assuming n is positive.\nAnswer: n**(4634\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -0.1 (b) 2\/13 (c) 0.2 (d) 1 (e) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241 - 165. Suppose -x + t = -5*x. Which is the closest to 1? (a) -2\/5 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29\/2 + -121\/14. Calculate the common denominator of 1\/73 and b.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -616, -2158, -4630, -8026, -12340, -17566, -23698, -30730?\n\"Answer: m**3 - 471*m**2 - 136*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -500, -1035, -1612, -2237, -2916, -3655?\n\"Answer: -g**3 - 15*g**2 - 483*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56272043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((1 - 7) + -34 + 33)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2259000 rounded to the nearest ten thousand?\nAnswer: -2260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1369 + 0 + 2 + -3. Suppose 33*f = 36*f + p. Let x be (-6)\/10 + f\/(-60). Solve -13 = -2*t + 5*s, -4*t - 2*s + 7 = -x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 64*z - 500. Let u be x(-9). Let p(k) = k**3 + 4*k**2 - 3*k + 8. Calculate p(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (1 - (8 - 9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 61 + 103 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/2958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 52.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19713 = 532228\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 68390000 rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*k**4 - 223*k**3 + 1413*k**2 - 1328*k + 228 = 0. Calculate k.\nAnswer: -57\/10, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*sqrt(34)\/sqrt(2) - ((sqrt(17) - (-2*sqrt(136))\/sqrt(8)) + sqrt(17)))**2 + sqrt(17) + (sqrt(68) - 2*sqrt(68))\/sqrt(4) + (-1 + sqrt(17))**2 + 4.\nAnswer: -2*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -85, -99, -135, -199?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 16*d + 92 = 0. What is the remainder when 67 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/4 + (-10)\/(-3) + 1. Sort 4\/7, i, -1\/3 in ascending order.\nAnswer: -1\/3, 4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1 + 2*y)*(-3 - 2 - 1).\nAnswer: -12*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/13 + 4*s**2\/13 - 2\/13 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 5060240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-16)*(-16)\/(-24)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16508, -16693, -16878, -17063, -17248?\nAnswer: -17433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 0 + 215\/24*k**4 - 83\/30*k**5 - 10*k + 3*k**2 + 0*k**3. What is the second derivative of q(d) wrt d?\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o - 43 = 6*y + 55*o, 33*y + 4*o - 2*o = -229 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12838 is divided by 2566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**4\/4 - 14*k**3\/3 - 11*k**2 + 9*k + 2747. Determine v(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 319*z**3 - 75*z**2 + z.\nAnswer: 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37106 + 37170. What is the greatest common divisor of 11456 and m?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22565 not equal to -1406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**3 + 58*d**3 - 7*d**3.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1177.785, 5 in increasing order.\nAnswer: -1177.785, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cffsffstf. Give prob of sequence sscf.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 28945*1159\nAnswer: 33547255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 - 122. Calculate the highest common divisor of g and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*(-45)\/30 - 11914\/3220?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -12)*14\/(-4). Suppose -3*k + 10 = -v. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 123? (a) 0.2 (b) -4\/3 (c) -47 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57172771?\nAnswer: 211, 270961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*j + 14, 0*n + 3*n - j = 25. Let m = 22 - n. Suppose -4*d + 3 = -m. Solve -6*q + q + 4*z = -2, 0 = d*q - 4*z - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3 + 2*g - 5 + 5*g**2 + 3 + 3. Is c(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202 - 201.9442. Let i = u + -0.3598. What is i rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -22586a?\nAnswer: 225869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32083*n + 195 = 32070*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*o + 21 = -2*t, 0 = -5*t - 4*o + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*o - 49. Let f = o + -11. Solve 5*m = -5, -3*k + 6*k - 4*m = -f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 20 (b) 2\/13 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5 - 2810*q**4 + 985604*q**3 + 991228*q**2 - 985606*q - 988418 = 0.\nAnswer: -1, 1, 703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:17 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 988 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 406 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 2*q - 7. Let n be t(6). Let a be (n\/2)\/(4\/38). Let o = a - 219. Find the common denominator of o and 12\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 926 - 206. Suppose 4*u - 273 = -4*m - u, -2*m = 4*u - p. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -203\nAnswer: -4\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 4. Let o = -1 - d. Let g(k) = 2*k + k**2 - 3*k**2 + o - 4*k + k**3. Calculate g(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375326204.\nAnswer: 2, 11, 17, 151, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n + 35 = 0. Suppose -o + 2*o - 27 = -5*i, -o = 2*i - 15. What is the units digit of 65\/o - (-2)\/n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1002 - -1007.19. Let o = 5.5 - x. Round o to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 120134320?\nAnswer: 120134313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3, h = -3*s + 7*s + 1674. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m + m. Suppose -l = 4*f - 11, -l + 9 = -f - m. Let r(z) = 2*z**3 - 16*z**2 + 9*z + 14. Is r(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -352 + 352.39. Let a = 6412.4400012 + -6412.83. Let y = m + a. Round y to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0779702332 to three dps.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -114 + (10 + -12 + 4 - 1) + -8 + 21\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -12. Suppose 3*t = 7 + m. Suppose 3*w + 52 = t*w. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 30.8. Let k = -218\/3 + 72. Let h be (-4 + 3)\/(38\/(-4)). Which is the second smallest value? (a) u (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q = -343282 + 4902. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 76968, 153945, 230922, 307899, 384876?\n\"Answer: 76977*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 5\/15*9 - -6?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 66. Let r be (-7)\/2 - c\/20. Let o be (4\/5)\/(4\/(-20)). Is o at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39\/6 + (-15)\/6 and 110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -19 (b) -1 (c) 9467 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33 and 12.2?\nAnswer: 4.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3))**7*j\/(j\/j**(2\/15)*j)*j\/(j*j**(-2)*j)*j\/(j*(j*j**(-3)*j)\/j)*j**(1\/12)*((j**(-2\/13)*j)\/j)\/(j\/j**(-2)*j) assuming j is positive.\nAnswer: j**(103\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/14336 + -419333\/71680. Calculate the common denominator of z and 75\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4456 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -614 + 614. Let d be 60\/(-8)*(-4)\/6. Solve u = -d*o - 15 - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*15\/(405\/(-18))*(-6)\/(-100)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -122, -206, -288, -368, -446?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162132 and 114696?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7 + 8*z + 7*z - 4*z + 6. Let x be f(-3). Let r = 20 + x. Solve r = -3*p + 1 - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2046*b**2. Let f(h) = 375*h. Give f(i(p)).\nAnswer: 767250*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 - a**2 + 4*a. Let g(z) = z**3. Let m be (44\/16)\/(1\/16). Suppose -5*h + m = 6*h. Calculate h*g(y) - q(y).\nAnswer: 2*y**3 + y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5\/d*d**10)**29)**(-22) assuming d is positive.\nAnswer: d**(-8932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 5*m - 2*m + (4*m - 3*m + 5*m)*(-314 - 590 + 1344).\nAnswer: 2639*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*w + 4*p + 32 = -83*w, 2*w - 1 = 3*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -6. Suppose -j*c = c - 15. Solve -z = c*s - 21, 3*s - 7 = -z + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 11. Let d(w) = -8*w - 4. Let p be d(z). Suppose -6*t + p = -2*t. Solve -x + 1 = -t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n**3 - 20*n**2 + 21*n - 20. Let f(d) = -d**3 + 2*d**2 - 2*d + 2. Let b(x) = -10*f(x) - o(x). Calculate b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 70 = -3*p, 0*s + 3*p + 235 = 4*s. Let z = s - 35. Calculate the greatest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 2. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m - 40067 = -37813 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.4, 8 in descending order.\nAnswer: 8, 0, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 1010*o - 491462. What is s(1369)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 112784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -13 + (10 - -4 - 11 - -6).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -29.9999978. What is y rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -4 - 1) + 4. Suppose -c*d = 4, 0*i + 3*d + 19 = 4*i. Calculate the remainder when 35 is divided by i\/10 - 43\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 28*k**2 - 384*k + 47. Does 34 divide t(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -35 (b) -6277 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9*13\/((-117)\/(-498)).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 2*m + 11. Let a be d(7). Let l = a + 29. Suppose t - 263 = -3*t + 5*c, 109 = 2*t + l*c. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 + -67. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -47. Find the second derivative of -24*t + 19*t + t**4 + v*t**4 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1344*s**2 - s + 55*s**6 + 1168*s**2 - 758*s**6 wrt s.\nAnswer: -84360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from gdnuunnnl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*i + 4*v + 11, -v = 4*i - 24. Solve -i*s + b + 1 = 2*b, 0 = 5*s - b - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11679163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 27278?\nAnswer: -2\/13639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 429\/(-18) + 5*(-4)\/(-10) and 71\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -3*z + 219. Find the third derivative of -z*n + 22*n**5 + 48*n - 19*n**2 wrt n.\nAnswer: 1320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -609*y**3 - 5*y**2 + 19. Let p(o) = 608*o**3 + 5*o**2 - 23. Let s(h) = 6*n(h) + 5*p(h). What is the third derivative of s(j) wrt j?\nAnswer: -3684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3199738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85311485 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 66*u**2 - 69*u + 252. Calculate s(65).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -106 (b) -0.1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10453014 - 41?\nAnswer: -10453055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12846*z + 12874*z = -1680 for z.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c. Let h be l(-3). Let b be (h\/15)\/(2\/(-20)). Factor 1\/2*j**3 + 5\/4*j**b + 0*j**2 - 7\/4*j**5 + 0*j + 0.\nAnswer: -j**3*(j - 1)*(7*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o - o - 6 + 1 + 3 + o**2. Is d(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - 29\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/198)\/(471\/(-1413))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 41*j = -7050. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1743 by 15703.\nAnswer: 1743\/15703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3406, -4497, -5720, -7081, -8586, -10241?\n\"Answer: -r**3 - 60*r**2 - 904*r - 2441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 128753*a + 6. Determine s(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17356105 to the power of 1\/2, to the nearest integer?\nAnswer: 4166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63904.0000120681 + -63904. Round y to seven decimal places.\nAnswer: 0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 15\/4 of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from zqmqzzbsbzssmbmbmzb?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2010303?\nAnswer: -2010302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from hkuukukkhiuhkkkkgk.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0 - 5. Let f = 19 - 14. Suppose -4*h = -f*t - 7*h - 19, -t - 15 = -5*h. Put b, -2, t, 3 in decreasing order.\nAnswer: 3, b, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -44. Suppose 0*p = 5*q + 4*p - h, 3*p = 2*q - 9. Suppose 6*b - q = 3*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -675593 and -0.5?\nAnswer: 337796.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + -1 + -3 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 2*b + 18, -4 + 1 = -l - 2*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172881253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-6)*0 - -4. Suppose -63 - 1277 = k*s. Let j = 605 + s. What is j rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 - 90. Let c be (3\/(-2))\/(3\/(-16)). Suppose c + 0 = 2*o. Solve o*s + 27 = -3*t, 6 = 5*t + f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-19)*((k*k*k\/(k*(k**(-3\/2)\/k)\/k)*k*k)\/k)**(2\/15) assuming k is positive.\nAnswer: k**(583\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160\/3*k - 32*k**2 + 2\/3*k**4 + 2\/3*k**3 + 256\/3 = 0 for k.\nAnswer: -8, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565403421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48348699 at least as big as 48348701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-22)\/q**(2\/59)*q**9\/q*q**(7\/3)\/q*q)**(-15\/8) assuming q is positive.\nAnswer: q**(10355\/472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h + 1. Let x be w(-2). Let d(g) = -8*g + 1. Let c(a) = a + 1. Let y(z) = -6*c(z) - d(z). What is the units digit of y(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-1\/7))\/y))**(-7\/5))**40 assuming y is positive.\nAnswer: y**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - z = z + 23, -2*z + 26 = 4*d. Let u(j) = 2*j**2 - 14*j - 2. Let t be u(d). Put -0.5, -3, t in descending order.\nAnswer: -0.5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**4\/8 - t**3\/3 - t**2. Let n(f) = -f**2 - 4*f - 1. Let h be n(-2). List the prime factors of z(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 249? (a) -4 (b) 1\/3 (c) -0.5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 3) + 0 + 0 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 k when three letters picked without replacement from njfbxkfxbxfn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 1.831?\nAnswer: -1.0986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 3\/592, -3\/11, -7, 0.2, -0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9.993766 * -0.4\nAnswer: 3.9975064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15926 and -0.2.\nAnswer: 15925.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.68298 decades?\nAnswer: 81.9576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6693922.\nAnswer: 2, 3346961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 2:40 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -8\/7*d**3 + 0*d - 3\/35*d**5 + 39 + 6\/7*d**2 + 15\/28*d**4. Factor v(o).\nAnswer: -3*o*(o - 2)**2*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 436 and 10484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -331 - -2?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 418659, 837314, 1255969, 1674624, 2093279?\n\"Answer: 418655*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 2*m)*(2 - 3 - 1) - 48*m + 60*m + 275*m + (1 + 0 + 1)*(1 - 1 - 3*m) - 3*m + 4*m - 2*m + (-2 + 0 + 1)*(-2*m + 0*m + 0*m) + 4*m - 4*m + m.\nAnswer: 287*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 17 = 5*u, -u + w + 4 = -0. Solve 3*r + 13 = 2*d, 12 + 11 = -4*r - u*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86? (a) -1\/6 (b) 0 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 984*s + 5469 - 15309 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5386 + 5311. Suppose 4*l - 825 = -l. Let z = l + q. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.68 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-49) - (-143)\/7. Let v be 3\/4 + a\/16. Let j = v - 0. Solve 1 = z - j*q - 4, 4*z - 2 = 2*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-90620)\/(-12))*(-15)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**4\/14 - 4*u**3\/21 + u**2\/7 - 15. Let g(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 + 5 - 5)*(2 - 2 - 2*j)*(1 - 3 + 4)*(-5*j + 12*j + j) in the form y*j + c*j**2 + b*j**3 + n + z*j**4 and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 + 930 = 32*o. Let y be 1 - -6 - (-1)\/1. Calculate the highest common factor of y and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6 = -2*s. Let p(n) = -n**3 + n**2 + 3*n + 3. Let u(x) = x. Let g(h) = p(h) + 2*u(h). Let d be g(3). Solve -8 = -d*c + s*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 + 4 + 8*l**4 + 3*l - 2*l**2 - 12*l**4 - 2*l as t*l**3 + c*l**2 + g + h*l + v*l**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1989340?\nAnswer: 2, 5, 17, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 + 2*i - 28. Let a(o) = o**2. What is -4*a(g) - z(g)?\nAnswer: -g**2 - 2*g + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12)*-2*-6)\/(-5*sqrt(54)))**2 + -5)*5.\nAnswer: -93\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 + 792*r**3 - 53055*r**2 + 102966*r.\nAnswer: -3*r*(r - 131)**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**6\/90 - g**4\/12 - 4*g**3\/3 - 12. Let z(q) be the third derivative of h(q). What is the first derivative of z(n) wrt n?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-164)\/(-14) + 6\/21. Let k = -8 + u. What is the biggest value in -2\/7, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*b = -51, 41 = -624*w + 622*w - 3*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41278 is divided by 392?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4582*l + 22805. Calculate i(5).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 636678191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-312)\/104)\/((-3)\/52)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*u - 8*u - 2*u - 2*u - 16 as h*u + z and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 15 = 0, 2*z - a + 15 = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -323, -494, -683, -896, -1139, -1418?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - v + 9*v)*(-3*v + 7*v - 2*v)*((-3 + v**2 + 3)*(-6*v - 38*v + 5*v) + 0*v**3 + v**3 + 0*v**2 + v**2).\nAnswer: -456*v**5 + 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4742, -18720, -42018, -74636, -116574, -167832, -228410?\n\"Answer: -4660*l**2 + 2*l - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -39*z**2 - 9*z - 8. Let a be v(-1). Let p = 222 + a. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*s - 8, 6*s = 3*s - x + 13. Solve -i - s = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l + 85 = 20*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4 - 19*m**2 + 4 + 21*m**2. Let d(j) = 3*j. Calculate f(d(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + i = -4*i + 17, q - 3*i + 11 = 0. Sort -4, q, 2\/3, -2 in ascending order.\nAnswer: -4, -2, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f. Let i(j) = -23467134*j**2. Give q(i(v)).\nAnswer: -140802804*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 39. Let j(p) = 4*p. Let r be j(1). Suppose -r = l*f + 2. Which is the biggest value? (a) -4 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015774 to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:33 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvtvvvvvvvbvnvbvnbn. Give prob of picking 2 b and 1 t.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.7 + 26. Let w = n - 12. Let p = w + 0.7. Which is the smallest value? (a) -0.2 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1609 * -2516\nAnswer: -4048244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007671408 rounded to six decimal places?\nAnswer: -0.000767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1655 + -1217. What is the highest common factor of j and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y - 14. Let p be g(-4). Solve 20 = -3*h - p*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 7*v. Let w = 8702 - 8544. Calculate the least common multiple of m(-6) and w.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-410730*b + 2131*b**2 + 410730*b)*(b + 4*b - 4*b)*(-1 + 0 + 0) as p*b**2 + c + x*b**3 + s*b and give x.\nAnswer: -2131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:14 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 15*p. Let t be g(7). What is the highest common divisor of 10 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g - 3. Let k = g + 4. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 135*n**3 - 2*n**2 + 4*n - 1. Let g be d(3). Suppose -v + 38419 = g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from tnnukmunokmutmnt.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 5*q - 4. Let z be h(-6). Suppose 5*s = 2*s, 0 = a + 4*s - 5. Solve -z*l + a = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgdz when four letters picked without replacement from {z: 7, g: 5, d: 7}?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 - 2 = 0. Let u be ((-4)\/d)\/((-10)\/300). Suppose 0 = -4*o + 68 + u. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*i**2 + 20*i - 26*i - 9*i**3 + 6*i + 802*i**2 - 1454*i**2.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 459243.8509 to the nearest 1000.\nAnswer: 459000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 5397?\nAnswer: 5408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 4. Find the common denominator of (j\/(-5))\/((-12)\/(-235)) and 19\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -73, -141, -251, -415, -645, -953, -1351?\nAnswer: -1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -7*i + 136, 948 = -3*z - 45*i + 2493 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220037*u**3 - 109655*u**3 - 109856*u**3.\nAnswer: 526*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -21*x - 5. Let n(s) = s**2 + s + 4. Let v be n(0). Let i(f) = 2*f + 5 + 2*f - v. Let b(g) = 11*i(g) + 2*t(g). Differentiate b(y) with respect to y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8195.7 + 8196. What is the biggest value in 5, h, -124, -3\/7, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2))*3 + (sqrt(72)*1)**2.\nAnswer: 3*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 4:09 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 93170.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 31. Find the third derivative of -3*m**4 - 4*m**2 + 3*m**2 + b*m**2 + 3*m**2 wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 6*n**2 + 11*n - 14. Let u be (6\/(-9))\/((-4)\/42). Let k be w(u). Suppose 4*y - 3*p = 2*p + 22, p + k = 4*y. Solve y*j + 0 = -6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b - 52 + 52 + (2 - 2 - 2)*(-b - b + b) + 2*b + 2*b - 2*b - 453*b - 1 + 196*b + 220*b.\nAnswer: -39*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 18*l = 23*l + 21, 19 = 5*u + l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 135.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -59*y + 26. Let f be (-75)\/6 - (-16)\/32. Is d(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 2)*(-2 + 1). Let o be 97\/11 - 16\/(-88). Suppose 3 + o = 3*v. Solve -v*s + c = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 5*x**2 + 6*x + 10. Calculate w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*z - 44 = 0, 9 = -v - 712*z + 707*z for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 + 120. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {h: 2, c: 1, m: 3, n: 3, u: 2, z: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -2*b**5\/55 + 10*b**3\/11 - 10*b**2\/11 - 48*b\/11 - 400. Suppose j(q) = 0. What is q?\nAnswer: -4, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60794697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3031345464?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**3\/5 - 267*s**2\/5 - 1698*s\/5 + 1968\/5 = 0.\nAnswer: -82, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2383.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 5*n**3 + n**3 + 30 - 30.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 8*i - 33. Let s be ((-108)\/(-45))\/((-2)\/(-10)). What is the remainder when 103 is divided by v(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**4 + v**4 - 4*v**4)*(-27 + 1 - 30) to the form y + s*v**2 + z*v + o*v**4 + r*v**3 and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, o: 5}. What is prob of sequence hoh?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*y - 298 = 278 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803363?\nAnswer: 11, 199, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -344 + 356. Solve -4*h = -5*s + 3*s + t, 2*h + 2*s = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*g = 3, 4*g + 0 = o + 9. Suppose -o*h - 9 = -0*h. Put h, 4, 5 in descending order.\nAnswer: 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 1. Let p be (-1)\/((-1 - 1)\/2). Let s(k) = -k**2 + k - 1. Let g(t) = p*y(t) + s(t). Let d(j) = 3*j. Give g(d(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d**3*j**3 - 413*d**3 + 3*d**2*j**3 - 5*j**3 - 3502 wrt d?\nAnswer: -36*j**3 - 2478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, 0.1, 9, -1\/21 in decreasing order.\nAnswer: 9, 2, 0.1, -1\/21, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (4 + -3)*1. Let r be ((-2 - 8824)\/b)\/2. Let t = r - -2106. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3200 - 158. Which is smaller: z or 3040?\nAnswer: 3040","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 2*z + 1. Let q be v(-2). Let m be (q*-24)\/(-4) + -3. Solve -m*w = -5*o + 3, 5*w + 0*o - 3*o = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, 0.0216, 6 in ascending order.\nAnswer: -3, 0.0216, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -120002 (base 3) in base 8?\nAnswer: -627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21001 + 10012?\nAnswer: -10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1\/9, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 38 = 8. Solve -c = v*j + 5, 2*c - 2*j = 2*j - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7028 + 7435. What are the prime factors of f?\nAnswer: 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22218 + 27777. Calculate the greatest common divisor of 1417 and u.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48346*y - 96566*y + 6 + 48278*y.\nAnswer: 58*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 11, v: 7}. Give prob of picking 2 m.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 1887*k - 5*k**2 - 233 + 4*k**2 + 231 to the form i*k**2 + c*k + p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 16*n**2 - 15*n**2 + 20*n + 2 in the form d*n + o*n**2 + p and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -394 - -394.1. Let c(g) = -g**3 - 2*g**2 + 3*g + 4. Let v be c(-3). What is the closest to -2 in -21, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 82*k**2 - 526*k - 1. What is w(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*f**2*h**2*l*o**2 + 1337*f**2*l*o**2 - 2*f*h**2*o**2 - f*h*l + f*h*o**2 + 7*h**2*l*o - 3*h*o**2 - h*o + 19881*o wrt f?\nAnswer: -36*h**2*l*o**2 + 2674*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5653, -22864, -51555, -91720, -143353, -206448, -280999, -367000?\nAnswer: -464445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 91 = -5*w - 38, 9 = w - z. What is the remainder when 178 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1854 = 295*x - 6701 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 20. Let k(s) = 3*s + 40. Let r(c) = -6*i(c) + 3*k(c). Let o(p) = 2475*p. Give o(r(x)).\nAnswer: -7425*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0, -45, 0.028?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/240 + (200220\/(-96))\/47.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242303 - -10?\nAnswer: 242313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 596093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 9*g**2 + 8*g - 2. Suppose 9*q + 7 = 79. Give i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -114*c - 468. What is w(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 0*m + 19 = -10*d + 23, -d + 3*m = 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j - 2. Let y(b) = b**3 + 6*b**2 + b + 3. What is y(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1*1)\/(14\/(-28)). What is the second derivative of -3*o**4 - i*o**4 + 7*o**4 + 2*o + 4*o**4 wrt o?\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 896, -3, -2, 2, -1 in ascending order.\nAnswer: -3, -2, -1, 2, 896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -846 and -844 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9c (base 14) to base 9\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145507 is divided by 507.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x - 9. Let f be w(4). Suppose 3*d - 5*y - 7 = 0, -f*d + 0*y = -4*y - 8. Solve -d*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2457047 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 11:24 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 4*p + 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 30. Let n = -1 + f. Which is the nearest to -2? (a) n (b) -0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-40) - 2\/8. Let y be 18\/52 - (-6)\/60*-5. What is the third smallest value in -2, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -249 - 49?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 207 = -22. Which is the second biggest value? (a) 4\/7 (b) t (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 8:34 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*j - 3*x - 14, -x - 3 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x - 7*x - 18*x as u*x + c and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217767 = 56*s + 217375 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a factor of 34152768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 10 - (20 + 12 + -24).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26014 + 26014.2. Put 2, -4\/3, 0.08, b, 5\/2 in decreasing order.\nAnswer: 5\/2, 2, b, 0.08, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31256186 is divided by 6182.\nAnswer: 6176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -5*o**4\/12 + 17*o**3\/6 + 9*o**2\/2 + 13. Let l(r) be the second derivative of u(r). Find the first derivative of l(w) wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.446954 - -22.45. Round k to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + 11*a**3 - a**3)*(4*a - 2*a + 0*a) + (a**3 - 3*a**2 + 3*a**2)*(34*a - 64*a - 249*a).\nAnswer: -265*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11, -9, 0.1, -197\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -572*a**3 - 13 - 971*a**3 + 13 + 1 - 2*a**3 - 1 + (-1 + 1 + 2*a)*(107*a - 107*a - 5*a**2) to the form k*a**2 + u + i*a**3 + x*a and give i.\nAnswer: -1555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*t + 2*t - 4*t)*(-1 - 3*t + 1) + (-27*t + 27*t - 54*t)*(t + 0*t - 3*t) to p*t + s*t**2 + j and give s.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbhbbhhbhbhhhhhbhhh. What is prob of sequence hbb?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(288) + 0)*4)**2 - (-1 + sqrt(16)\/(sqrt(72)*2)).\nAnswer: 1727*sqrt(2)\/6 + 4618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03206908 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6661 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 16 = -3*c. Let g(r) = -8*r - 7. Calculate the remainder when g(c) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(1\/((-2)\/2)). Let p be (-2 - -2)*(-2)\/(-4). Let c = y - p. Which is smaller: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 8*c**2 + 250*c + 122. List the prime factors of k(-20).\nAnswer: 2, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r + 7. What is h(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3. Let j(f) = -f**3 + f. Let y(s) = 82*s**3 + s**2 - 3*s + 1. Let i(b) = -5*j(b) - y(b). Is i(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {z: 1, x: 1, d: 1, u: 2, a: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2050680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 38 - 727*t + 105.\nAnswer: -727*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -5*t**3\/3 + 7. Give r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -23*u. Let o(b) = -b + 3. Let r(f) = 2*f - 7. Let n be (-14)\/(-6) - (-2 - 16\/(-12)). Let h(d) = n*r(d) + 7*o(d). What is h(m(j))?\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-3)*2\/6. Let o be ((-4)\/15)\/(54\/(-45)). What is the nearest to k in 0.1, 4\/7, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 409171 and -2.1.\nAnswer: -859259.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 167688.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1. Let o(j) = -2*j - 11. Let v(k) = -24*c(k) + 3*o(k). What is the tens digit of v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*54\/(-45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/((-1)\/4)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*k + 2, -8459*h = -8460*h + 5*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 235305 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 139238*n**2 - 278482*n + 139242.\nAnswer: 2*(n - 1)**2*(n + 69621)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -11173279865.7 and 0.26.\nAnswer: -11173279865.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -14. Suppose -3*d + 5 = 2*d, 97 = o*b - 3*d. What is the least common multiple of 18 and (b\/(-3))\/(-4)*12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 3, c: 7, z: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y*y\/(y*y**(-4)))*y*y)\/y)**(-31))**(-5\/3) assuming y is positive.\nAnswer: y**(-310\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -10. Let g(w) = -w + 5. List the prime factors of g(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 15*o**2 - 56*o + 8. Let m be j(6). Let y = 5.9 - 6. Let z = -0.6 - y. What is the third smallest value in -2, z, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 600*52\/(-390) + 109.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 780 and 312?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-54 - -19) - (-1 + 7 + -1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -12121210?\nAnswer: 12121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*u = a + 197*u - 17576, 0 = -3*u + 3. List the prime factors of a.\nAnswer: 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 17*o**2. Let v(n) = 299*n + 364. Let b(w) = 10*w + 12. Let y(m) = -91*b(m) + 3*v(m). Give j(y(a)).\nAnswer: 2873*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 931 divide 3926958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) 1\/14 (c) 2\/23 (d) 2\/17 (e) 0.3 (f) -0.078 (g) -22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000127932 rounded to six decimal places?\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -66, 2, 671 in descending order.\nAnswer: 671, 2, 0, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -157 - -129?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/417405 and 25\/6177594?\nAnswer: 30887970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*g*m*r*t**2 + g*m*r*t - 2*g*m*r - 2*g*m - 4*g*r + 74*g*t**2 - 3*g + m*r*t - 2*r wrt t.\nAnswer: -446*g*m*r + 148*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.01 - -1.85. What is the closest to -2\/3 in -0.4, h, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l\/l**(-5\/3)*l)\/l)*l*l)\/l)**(-7\/5) assuming l is positive.\nAnswer: l**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 2*c + 6*c - 3*c - 3*c + 4*c + (2 + 2*c - 2)*(-3 + 3 - 2))*(1479*c - 667*c + 29*c).\nAnswer: -3364*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 - k - 6. Let v(h) = 12*h**2 + 3*h + 17. Give -8*b(r) - 3*v(r).\nAnswer: -4*r**2 - r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.7. Let t = q + 0.7. Which is the third biggest value? (a) -5\/3 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255736 (base 10) to base 16.\nAnswer: -3e6f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 8. Let n(i) = 7*i**2 + i - 3. Let c(t) = t**2. Let o(u) = -6*c(u) + n(u). Does 17 divide o(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-102)*(-156)\/208?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90891 at most 90891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10464131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 1431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -56, -84?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/6)\/(2\/(-4)). Let i = -0.58 + 0.12. Let v = i - -0.06. Sort l, v, -1\/6 in ascending order.\nAnswer: v, l, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.9 + 87119.792.\nAnswer: 87110.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45743002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8802*a**3 + 14*a**2 - 6837*a**3 - 3*a**2 + 21 - a**2. Let r be x(9). Round r to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18 and -4.37.\nAnswer: 13.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2.4 (c) 0.1311 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34894*n**3 + 365*n**2 - n + 2049657 wrt n?\nAnswer: -209364*n + 730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3980*i + 3969*i - 363 = 0 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - q + 1 - 4 - q**2 - 2*q**4 + 42*q**3 - 44*q**3 as v*q**2 + c + h*q**3 + w*q**4 + y*q and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phgg when four letters picked without replacement from zhhhhhgzphzg?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(84)*-2 + sqrt(84) + sqrt(84) + -2*(sqrt(84)*2 - sqrt(84)))*-6)\/(sqrt(1200) - sqrt(1200)*-2*-2 - (sqrt(1200) - sqrt(1200)*1*2)).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1474*w**2 + 27*w - 313*w + 1 - 1472*w**2 + 0 in the form t*w**2 + y*w + f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 28 + 4*z**3 + 20*z**2 + 19*z**3 - 24*z**3. Let a be v(20). What is the greatest common factor of 756 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 91. Suppose -3*z + 32 = n. Suppose 0 = 3*h + 3*l + 2*l - 335, 0 = -z*h - 3*l + 225. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00615389498 rounded to six decimal places?\nAnswer: 0.006154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvmk when four letters picked without replacement from {m: 3, v: 1, k: 4, d: 6}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.875 rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 6574?\nAnswer: 3\/6574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31332001 (base 5) to base 4\nAnswer: -333311331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19793*0.1.\nAnswer: 0.019793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 25*n**2 - 5. Let f be a(-25). Let j(q) = -q**3 - 4*q**2 + 6*q + 3. Let w be j(-5). Let y be w\/6*3*f. Solve 6*u = 5*u + y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.11313 millilitres in litres?\nAnswer: 0.00611313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -d + 1, 321*p - 319*p = 5*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (2 - 2) - (4 + (-36 - -18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1395 and 909.\nAnswer: 140895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3464813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3769620129?\nAnswer: 3, 11, 29, 67, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**3 - 5*x**2 - 10*x - 3061. Let v(p) = 4*p**3 + 3*p**2 + 6*p + 1530. Give 3*d(m) + 5*v(m).\nAnswer: 2*m**3 - 1533","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1263 - 10640*o**2 - 2840 - 756 - 2042 wrt o.\nAnswer: -21280*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2736\/11 + -13014\/77. Let p = 633\/14 - g. Is p not equal to -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1323, -2, -0.05, -1\/113, 1\/2 in decreasing order.\nAnswer: 1323, 1\/2, -1\/113, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*k + 13023 = -4841 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2661*l - 1256*l + 309*l + 2310*l)*(l**2 + 5*l**2 - l**2) to g*l**2 + o*l + c*l**3 + x and give c.\nAnswer: 20120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = -2*r - 34, 0 = 2*u + 11*r - 6*r - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.8 (b) -18 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (928\/(-464))\/(1*(-4)\/(-30))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189990 < 189994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37525 is divided by 37499.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, f: 1, o: 2, d: 1}. Give prob of picking 1 d, 1 f, and 1 k.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 16*n. Suppose -2*y + 76 = 2*y - 4*p, p + 2 = n. Let q(t) = -t**3 + 11*t**2 + 8*t - 2. Let k be q(y). Round k to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 637\/51?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3094.7939 to the nearest ten.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27562109 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -31*k + 6*k**3 - k + 5*k - 248 + 275. Let p(m) be the third derivative of m**6\/120 - m**4\/6 + 2*m**3\/3 + m**2. What is -4*h(n) + 27*p(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -53*r + 2. Suppose -2 = 3*l - 5. Let p be m(l). What is the smallest common multiple of 5 and p\/(-34) - 15\/(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/(-315) + (0 - 182\/(-15)). Suppose c = s + u - 4*u, 2*s = -4*u + 4. Let l be (-3)\/s*-4 - (2 - 8). Is 8 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**2 + 3*v + 6. Let f be z(-5). Let u be (f\/10)\/(-6) - -4. What is the nearest to -1\/4 in u, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -83*g + 5649. Let n(l) = 108*l**2. Determine i(n(t)).\nAnswer: -8964*t**2 + 5649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 111809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyjtjbbyjwbbbw. What is prob of picking 2 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 11:46 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 - 17*a**2 + 42*a - 317. Calculate the remainder when v(14) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/13)\/(n*n\/n**(-11)))\/(n*n**(-1\/2)*n)**(-14))**(-6\/11) assuming n is positive.\nAnswer: n**(-588\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -6. Suppose -b - f*a - 3 = 0, -a = -4*b + 6 + 33. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9807*l - 1868. Let o(n) = 5*n - 1. Determine 1868*o(z) - t(z).\nAnswer: -467*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**2 - 9*c - 761. Let r(p) = 3*p - 3. Let d be r(3). Let b be v(d). Solve -14 = b*o + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 766 - 526. Let s = 321 + h. What is the biggest value in -1\/5, 5, s, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, p: 1, n: 4}. Give prob of picking 1 n and 1 p.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -178, 0.06, 0, 41\/5, -2\/9, 2\/5?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -141*r + 14*r + 13334881 + 8919202. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20932*d - 41862*d + 20924*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 23501*c\/2 - 552297001\/4.\nAnswer: -(c + 23501)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -41, -63, -87, -113, -141?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/11 - 20*c**3\/11 + 50*c**2\/11 = 0. What is c?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17934145 to the nearest integer?\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(4) - sqrt(20)\/(sqrt(40)\/sqrt(8)))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -976 - -976.0001434. Round u to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 8*u - 5. Let q be x(7). Suppose -3*j = -2*k + 5, 4 = 5*k - 0*j + j. Sort q, 3, k in increasing order.\nAnswer: k, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3246 is divided by 113.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**4\/4 + 4*g**3\/3 - g**2 + 3*g + 84. Suppose 3*r - 2*z - 1 = 4, 0 = 5*r + 2*z - 19. What is x(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -368123, -368129, -368139, -368153?\n\"Answer: -2*h**2 - 368121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 92, -5768, -15538, -29218, -46808?\n\"Answer: -1955*f**2 + 5*f + 2042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/sqrt(4))\/sqrt(8) + sqrt(5) - sqrt(60)\/(sqrt(60)\/sqrt(5)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/768 and -109\/246.\nAnswer: 31488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.02 + -0.9. Let z = -2.02 + 2. Let o = z + a. What is the closest to -1 in o, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1141632144?\nAnswer: 2, 3, 17, 51817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342 (base 8) to base 2.\nAnswer: -11100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -46*r + 508. Determine w(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1598674*x**3 - 2262528*x**2 wrt x.\nAnswer: -9592044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3758, 0, 4, 18, -3 in increasing order.\nAnswer: -3758, -3, 0, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 224*o**6\/5 + 491*o**4\/6 - o**2\/2 - 34*o - 1. What is the third derivative of t(l) wrt l?\nAnswer: 32256*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.545 * -0.01.\nAnswer: 0.01545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*m + 10 = -7*v, 0 = 4*m - 20. Sort v, 1, -1 in decreasing order.\nAnswer: 1, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**5\/20 + 3*m**4\/4 + 5*m**3\/6 - 4*m**2 + 7*m. Let a be n(8). Suppose 2*b - 286 = a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -196\/293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 - 13*v**2 + 19*v - 8. Let p(a) = a**3 + 7*a**2 - 9*a + 4. Let z(m) = 2*c(m) + 5*p(m). Let q be z(4). Let i = q - 11. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 790 + -374. What is the remainder when d is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269050 divided by 4.\nAnswer: -134525\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2161 + -2160. Do k and -0.2357 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537564 a multiple of 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k = -5*m + 55, -k - 2*m + 9 = 0. Let w = k - 18. Let s(z) be the third derivative of z**6\/120 + z**5\/15 - 5*z**4\/24 + z**3 - z**2. Give s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) -0.2 (c) 0.5 (d) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:47 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -371, -1506, -3813, -7706?\nAnswer: -13599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8588.5 - 8589. Which is the closest to 7? (a) m (b) 2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*d**4 - 12*d**3*y**3 + 97*y**3 + 1 wrt d.\nAnswer: 36*d**3 - 36*d**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*4 - 22\/((-110)\/4275). Which is bigger: 858 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(60)\/(sqrt(36)\/(2*sqrt(3) + sqrt(3))) + 3).\nAnswer: 18 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-398)\/2189 - 82\/(-88) - (1 - 0).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18387\/(-5448))\/((-15)\/(-160)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478*c + 18 = -476*c. What is the remainder when 26 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -137, -145, -159, -179, -205?\n\"Answer: -3*k**2 + 7*k - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rit when three letters picked without replacement from {i: 2, t: 1, r: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from {p: 4, l: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51837 and 7992?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 244. What are the prime factors of h(-36)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q\/(q*q*q**(2\/5)*q))\/q*q)*(q\/q**(-13))\/q*(q*(q\/(q**(-3)\/q))\/q*q)**34)**29)**(-20\/11) assuming q is positive.\nAnswer: q**(-128412\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 103? (a) -5 (b) 2\/9 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u*u*u**(-12)*u)*u**(-2\/37)\/u)\/(u**6*u**12) assuming u is positive.\nAnswer: u**(-372\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3145 = 3*b, -5*b + 6*l + 5180 = 10*l. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1. Let c(l) = -3*l**2 - 6*l - 8. Let z(i) = -c(i) + 6*k(i). Let p = -14 + 10. Let s be z(p). Calculate the greatest common factor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346 is divided by 98.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 - -36. Suppose -3*b = 2*l - 1348, -b + 5*l + 273 = -o. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5026 and 21?\nAnswer: 15078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*k - 5, 2*o - 297 = -k - 286. Calculate the remainder when (9\/2)\/((-3)\/(-18)) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 + 222. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.3. Let d = 6497 - 6491. Let u be 0 + 1 - (-2)\/(-4). Sort u, d, o in decreasing order.\nAnswer: d, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 3160 = -15*n. Suppose -4*q - 2*y = -n, 2*q - y - 308 = -0*q. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2134615 to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 921614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6572 + 29264 = 1054*q for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = a - 9*p + 7*p, 3*p = a - 114. Suppose -3 = 4*z - a. Let n = z - 2. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -926 + -234. Let n = 628 + w. Let r = n - -987\/2. What is the common denominator of -57\/16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -115 + -174dbd?\nAnswer: -1750d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513137125 is divided by 253.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4.01. Let w = -0.11 - a. Let r = 3 - 5. What is the closest to w in -0.5, r, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12023679 by 12023679.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1562 is divided by (-1)\/((-30)\/(-27) - 1) + 421 + -360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = d - 5, 4*k - 4*d = 5 - 1. Let n(o) = -o**2 + k*o**2 + 3*o**2. Let r(h) = -3*h - 5*h + 4*h + 5*h. What is n(r(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3737 and 1739.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 7*u**2 - 8*u - 4. Let o be v(-7). Suppose 4*x - 3*l = o, -4*x + 0*x + l + 44 = 0. Let t = 6 - 3. Solve 1 - x = 3*m, -t*h = 5*m + 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3 + 144*a**2 - 239*a - 2?\nAnswer: -6*a + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/298522 and -49\/6.\nAnswer: 895566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Suppose 11*o - 16*o + 4595 = l. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6482*r - 3320. Is 157 a factor of l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1359\/20 + 68. Let l = 9\/20 - z. Let u = -2\/91 + -172\/455. What is the nearest to l in u, 0.5, 5\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j = -29*j + 12, -2*u = -2*j - 46898. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1519*p - 67. Let b(n) = 758*n - 36. Give -15*b(a) + 8*c(a).\nAnswer: 782*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h + 10*h + 9 - 7*h. Let m be (3 + -4 - -1)*1. Give r(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -346654 in increasing order.\nAnswer: -346654, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbl when three letters picked without replacement from {l: 2, b: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2089\/70977 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 2. Let c be s(-4). Suppose 4*p = p + 2*i + 8, c = 2*p - 2*i. What is the third derivative of 3*z**4 - 2*z**p - z**2 - 6*z**4 wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 15*g**2 - 11*g + 15. Suppose 4*q + 35 = -56 + 67. Let p(l) = -7*l**2 + 5*l - 7. Determine q*z(b) - 13*p(b).\nAnswer: b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(-6 + -1) - (-7)\/(539\/(-553)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 1, b: 2}. Give prob of picking 1 b and 1 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 52*b + 4400 = 0. Is b bigger than -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/1175 or 0?\nAnswer: -19\/1175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39567 divided by 13189.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22954507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.36*-2.\nAnswer: -8.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 2599?\nAnswer: -6\/2599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 679000926 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*a - 35 = 0, 3*a + 9 = -6. Suppose v = -0*v - b. Is -10 not equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -26688696\nAnswer: -1\/8896232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49808.\nAnswer: 2, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.821 take away 81559?\nAnswer: -81564.821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 353045 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/6*(-3)\/(-2). Suppose 0 = -b - 0 + 3. Suppose 0 = -b*p + u + 3, 3*u - 4 = -2*p - 13. Is w equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6236 - 159. What is the greatest common factor of 59 and d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67926 times 13732\nAnswer: 932759832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 218. Let u(k) = -133*k. What is u(h(x))?\nAnswer: 266*x + 28994","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152597?\nAnswer: 152597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 49 = 3*p - 2*z, 0 = p - 4*z - 67. Suppose -u - 3 = 5*k - 76, 0 = u - k - p. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, i: 2, g: 1, d: 3}. Give prob of picking 2 n.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54784 and 135034.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**5\/60 + r**4\/4 + 4*r**3\/3 + 8*r**2\/3 - 25*r. Factor v(y).\nAnswer: (y + 1)*(y + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 491*v**3*w + v**3 - 3*v**2 - 2515*v*w**2 + 12182*v - 2 wrt w?\nAnswer: 491*v**3 - 5030*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3 - 20*f**2 - 34*f - 16 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-5) - (-13284)\/1845. Which is the fourth biggest value? (a) n (b) -4 (c) -5 (d) -57\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 818, 935, 1140, 1433, 1814?\nAnswer: 2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 10:19 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*t - 2 + 0)*(-t - 4*t**2 + t) in the form p*t + h*t**3 + k*t**2 + w and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2338*z + 2341*z - 9936. Does 69 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389 = -188*g + 175 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 4*r**2 + 9*r - 13. Calculate v(-6).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/a)**(-6)\/((a**7\/a)\/a*a\/(a**(5\/2)\/a))*(a**(-2\/3)\/a)\/((a\/((a*a\/a**(-1\/5))\/a))\/a)*a**(1\/6)\/a*a*a**4 assuming a is positive.\nAnswer: a**(67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) 2 (c) -5 (d) -885\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 7.8 (b) 0.018 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -106.636224 + -2\nAnswer: -108.636224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*d - 28*d = 0. Let n(g) = g**3 + 5*g**2 - 6*g + 5. Let z be n(-6). Suppose -a - z*s = -0*s - 14, s = -a + 2. Sort -3, d, a.\nAnswer: -3, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/14 and -87\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -95523.9 rounded to the nearest one hundred?\nAnswer: -95500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + 856. Is b a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -8 - 21 - 4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -37*n**3 - 6*n**2 - 6*n. Let d(h) = 73*h**3 + 11*h**2 + 11*h. Let i(b) = 4*b - 282. Let k be i(72). Determine k*d(j) + 11*l(j).\nAnswer: 31*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 + 2*p**3 + 4*p**3 + 5*p**2 - 5*p**2 + 2*p**2 as d*p**2 + x*p**3 + k*p**4 + v + i*p and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*2)\/sqrt(4).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 84673309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - w - 16059, 4*c - 1055*w + 1052*w = -12832. Round c to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1661137014 to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140*1132.\nAnswer: 158480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 26 = 2*v. Let s(l) = 26 + 4*l - 52 + 5*l + 17 + 5*l**2. Let h be s(-6). Calculate the greatest common divisor of v and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 3*x + 2*x)*(-3 - 3 + 4) + (x + 2*x + x)*(250 - 343 - 212) to f*x + k and give f.\nAnswer: -1222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(272))**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6073, -23619, -52873, -93841, -146529, -210943, -287089?\n\"Answer: -c**3 - 5848*c**2 + 5*c - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 216148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 3*z**2 - 6*z + 30. Let k be l(4). Let i = 30 + -28. What is the biggest value in 4, i, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from wbewi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22768 + 31292616.\nAnswer: 31292616.22768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 1. Let z(w) = 2. Let n(m) = -4. Let d(s) = 6*n(s) + 15*z(s). Let c(x) = d(x) + 6*v(x). Let h(a) = -2*a**2. Calculate c(h(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1 - 33*a - 3*a**3 - 16*a - 8*a**2 + 33*a. Is h(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2290*j + j**4 - 2277*j + 0*j**4 + 33 wrt j?\nAnswer: 4*j**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 5*i + 2*i - 2*i + 1 - 1 + (2*i - 1 + 1)*(-5 - 1 + 5) + 33 - 1631*i + 42 - 75 to u + c*i and give c.\nAnswer: -1637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + 8. Suppose 2*w - 4*x = -p*w + 40, 2*w - 3*x = 18. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/8, 2, 4\/5, -2.96, 2\/5, -62, -0.3?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 8. Suppose 32 = o*l - 308. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 2*p + 4 = 0, -3171*p = 3*l - 1585*p - 1589*p + 24 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**3 - 11*t**3 + 2*t**3.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-6))\/((-12)\/54*2). Let i be 3 - (-65 + m - 1). Calculate the highest common factor of 44 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 4*v**2 - v - 6. Let g be j(-6). Let q = g + -43. Calculate the remainder when q is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -789 - -14220. Let x = -25031 + k. Round x to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(36) + sqrt(360)\/sqrt(640))\/sqrt(12))**2.\nAnswer: 243\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8373 divided by -33?\nAnswer: 2791\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8 and 846298?\nAnswer: 846290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 14 = 2*r, -u - 2823*r + 27 = -2828*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12043\/10 - -1203. Let l = o - -59\/30. Solve l + 95\/6*k**2 + 235\/12*k**3 + 17\/3*k + 9\/4*k**5 + 11*k**4 = 0 for k.\nAnswer: -2, -1, -2\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 29*s**2 - 7*s + 41. Let n be u(-13). What is the highest common divisor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvvvvvvvvvovvvvvvv. Give prob of sequence ov.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.3, -258, -5\/33, 8.1?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2.83 * 12\nAnswer: -33.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 11*k + 20. Let a be v(-2). Suppose -w + 160 - 39 = -3*c, -2*w - a*c = -218. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*o**5 - 3 + (-3 - 2*o**3 + 3)*(2*o**2 + 1 - 1) + 3*o - 37169 + 12*o**5 + 37169.\nAnswer: 10*o**5 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -349.499\nAnswer: -698.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 - 120*h + 1108. What is v(25)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -16. Let h be ((-176)\/v)\/(4\/6). Calculate the highest common divisor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -0.09, 1\/2 in descending order.\nAnswer: 2, 1\/2, -0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 12 - -6) + -4 + 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.105 (b) -0.5 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/21 - (-224)\/318. Is t equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -228*d**5\/5 + 92*d**3 + d**2\/2 - 1590. What is the third derivative of n(a) wrt a?\nAnswer: -5472*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 28*o = -27*o + 56699, -5*r = 2*o - 70864. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -32. Suppose v + s = w, s - 34 = -3*v + 3*s. Solve 0*c = 4*c - v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -217 + 6*x**2 + x**3 + 6*x - 234 + 447. Give v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000101 + 101010100100110?\nAnswer: 101010001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 35856\nAnswer: -1\/17928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1745 - 1673. Suppose -5*y = -4*j - 88, -y + 59 = -4*j - 45. Let k = z + j. Which is bigger: k or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*(-18)\/(-81) - 0. Solve 2*g + 5*n + 15 = 3*g, 0 = -u*g + 5*n + 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*i**5*v + i**4*v**2 - 10*i*v - 3*v**2 wrt i?\nAnswer: -360*i**3*v + 12*i**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -35 (b) -4 (c) -1\/2 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31939 and 0?\nAnswer: 31939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 + (13 - 19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 14725498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-14)*c)\/c**(-20\/9)*(c**4)**(-3\/2) assuming c is positive.\nAnswer: c**(-151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -94, -0.184, -1, -0.5, -4, -9?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(3\/(-3) + -1). What is the units digit of 1 + p\/(6\/(-21))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15 + 245)*2\/8*2. Suppose -4*b = 5*r - 12, 0 = r + 2*r. Let d be b\/(3 - 264\/92). Calculate the greatest common divisor of d and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976472 to the power of 1\/2, to the nearest integer?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*(sqrt(133) + 1*sqrt(133)) - -4*-1*sqrt(133)))\/(((sqrt(70) + sqrt(70)*1)*-5 + sqrt(70))\/(sqrt(40)\/sqrt(64)))*4.\nAnswer: 16*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 1, a: 1, c: 1, e: 3}. Give prob of picking 1 c, 1 f, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and ((-8)\/20)\/(-2) - (-132)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -9.7. Let c = b - -3.3. Let i = 156.7 + -157.6. Sort i, -4, c in ascending order.\nAnswer: -4, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 764*j**3 - 13063 + 26129 - j - j**2 - 13067 + j.\nAnswer: 764*j**3 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -67*a + 21 + 30*a + 35*a. Let b be p(9). Which is smaller: b or 8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 10 = -3*u, 7*y - 2*y - 2 = -2*u. Let w(v) be the third derivative of -v**4\/3 + v**3\/3 - v**2. Is 15 a factor of w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 273*y + 98. Let z be t(-2). Let u = z - -463. What is the closest to 1 in 2\/11, -0.1, 0, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2839699207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -220 - -246. Let u(t) = -7*t + 7. Let j(a) = -36*a + 36. Let p(z) = 3*j(z) - 16*u(z). Does 50 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12057, -4336, 8539, 26574, 49775, 78148?\nAnswer: 111699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/((-416)\/(-91)) - (-57)\/(-18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-7))\/(1026\/36). Put q, 1, 3 in ascending order.\nAnswer: q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/j**(-2\/9))**(2\/75) assuming j is positive.\nAnswer: j**(-104\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53889970187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*p**3 - 162*p**3 + 84*p**3 - 4*p + 10*p**2 as j*p + w*p**3 + u*p**2 + d and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -86.7, -0.0515, -1\/5 in decreasing order.\nAnswer: -0.0515, -1\/5, -86.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (584\/(-30) + 20)*(-3 + 8))*-36?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Suppose 2*n - 165 = 3*s, 322 = 4*n + o*s - 0*s. Calculate the highest common divisor of 27 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113492 and 3451?\nAnswer: 23038876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2513*b - 22714. What is i(-9)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o + 166 = 23*o. Factor o*j - 3 + 6 + 3*j**2 - 77*j.\nAnswer: 3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 213*y**3 + y**2 - 4 + 214*y**3 - 28*y**2 to i + u*y**3 + a*y + z*y**2 and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 2. Let s(m) = m**2 + 3*m - 1. Let k be s(-3). Let x(f) = -1. Let i(g) = -g. Let y(c) = k*x(c) + i(c). What is -2*p(u) - 6*y(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m\/(m**3\/m))\/m*m)*m**(-6))\/(m**(-1)\/m)**40)**(-5\/8) assuming m is positive.\nAnswer: m**(-375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 0 (c) -3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 38356*p + 38352.\nAnswer: 4*(p + 1)*(p + 9588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000938545 rounded to 7 decimal places?\nAnswer: -0.0000939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616 and 336?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + 1 + 5 + sqrt(13) + 1 - (1 + sqrt(208) + sqrt(208)*-2 + sqrt(208) + sqrt(208)))*-6)**2.\nAnswer: 1296*sqrt(13) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v**3 + 5*v**2 + v + 3. Let a(u) = 67*u**2 + 4 - 60*u**2 + 0*u + 6*u**3 + u. Determine -5*a(i) + 7*y(i).\nAnswer: -2*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729259909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 367 or 365?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1037 + 12.8963. Let m = 36 + -17. Let n = m - o. Which is the second smallest value? (a) -2 (b) 2 (c) 0.5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -29, -91, -197, -359, -589?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 198934 (base 11) in base 8?\nAnswer: 1122722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*n - 627. Let c = n - -427\/3. What is a in 13\/3*a**2 + 4*a + 2*a**3 + c + 1\/3*a**4 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21593063 to the nearest 10000.\nAnswer: 21590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27429 is divided by 92?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 5*j - 16. Let i be a(-7). Let n(k) = k**3 + k**2 - 4*k - 3. Let g be n(i). List the prime factors of (65\/(-10))\/(g\/(-6)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -5*o - 9, 3*o + 1 = -2*r - 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**3*z**4 - 355*u**3*z**2 + 6*u**3*z - 3*u*z - 19*u wrt z.\nAnswer: -24*u**3*z**2 - 710*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = -30. Let s(x) = x**2 + 10*x. Let w be s(v). Suppose w = -3*a - 3 + 15. Solve m + 3*g = 2*m - 2, 0 = -a*m - 4*g - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -30*f - 2. Give l(-4).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*r - 136 = 0, -140 = -j - 4*r - 0. What are the prime factors of j?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 13*d - 19 = 9*d, 0 = 2*h - 5*d + 28. Let k(r) = -9*r**2 - 2*r - 4. Let q(w) = w + 1. Determine h*k(g) + 4*q(g).\nAnswer: -9*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14391.978ms?\nAnswer: 0.2398663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**3 + 3*u**2 + 5. Let k(h) = -3 + 1 + 2*h**3 - h**2 + h**3. Let x be 4\/8 - 6\/(-4). Calculate x*b(f) + 5*k(f).\nAnswer: f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/300 and -43\/1308980?\nAnswer: 19634700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -1)*-3 - (-6)\/((-6)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/13)\/((c**(-1\/20)*c)\/c))**29 assuming c is positive.\nAnswer: c**(-783\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -124 - -156. Suppose 0 = -26*o + 18*o + c. Let h(v) = v. Determine h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32809912 divided by -8202478.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*h - 44, 0 = 4*k + 8*h - 11*h - 64. Solve -4*j + 33 - k = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 8 - (-275 - -260).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17682 - 17672.529. Let x = 1.001 - u. What is x rounded to one decimal place?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 319541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12120 - -12?\nAnswer: -12101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*2*(-21)\/35?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080 (base 10) in base 16?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 74676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35154493\/8 - 4401303. Let o = -6982 - g. What is the common denominator of 4\/(-10)*(-19)\/(-4) and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-1 - 350)\/(-3). Suppose h - p + 1 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29439 and -0.05355.\nAnswer: -29439.05355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -260816125.967 and -0.059?\nAnswer: 260816125.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273115730.\nAnswer: 2, 3, 5, 151, 463, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-52)\/(-4) + 12)*6\/15. What is the highest common divisor of f and 790?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1\/(-1) - (-16 - -11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {e: 7, t: 4, l: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 85 = 3*l - 517, -150 = -j - 3*l. Let n = j - 67. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 13*m = -196. What is the remainder when 33 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from bbebj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*n = -2 - 1, y + n - 1 = 0. Suppose 3*v - 2*a = 76, v + y*a - 14 = a. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1665 and -85\/3663.\nAnswer: 18315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d + 10. Let h be q(-4). Suppose w = -4, 2*n - h = w + 4*w. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72274881 to the nearest integer?\nAnswer: 8501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3404738293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.6 * 4.257\nAnswer: -15.3252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48940 - 49054 - 3*g**2 + 97994 + 20*g**2.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1596)\/(-70))\/38 + (-4)\/2\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 66.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -0.05 (b) -3 (c) -2\/9 (d) -97 (e) 4\/19 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.490503 and -5.\nAnswer: -2.452515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 8162*u - 16316.\nAnswer: -2*(u - 4079)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*k = -209720 + 212844 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16839 = 5*h, 4*x - 12020 - 4822 = -2*h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -310 (b) -5 (c) 3.83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1567.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -8*d + d. Let z be -1 + (d\/9 - (-5100001)\/(-3)). What is z rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1179 + 21229\/18. Calculate the common denominator of (-40)\/(-9) - 1\/2 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0876 to 3 decimal places.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 208 = 2*f. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012281110432 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 27 - 9 = 0. Let j be 14\/4*(-5 - n). Let i be j\/6 - (-3)\/(-9). Which is smaller: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 613742, 613755, 613768, 613781, 613794?\n\"Answer: 13*l + 613729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + d + 5. Let o = 160 + -156. Calculate j(o).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 205*h + 3332. Suppose 0 = 3*d + 32 - 596. What is the remainder when d is divided by x(-20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 4*r**2 + 5*r + 3. Let w be o(-5). Suppose w*a + a - 1004 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085 is divided by 369.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*r**2 + 63 + 7*r**3 - 50 - 80 - 86 - 28 with respect to r.\nAnswer: 21*r**2 + 88*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -90 + 1650. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 16*g**2 + 1. Calculate x(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**2 - 3*o**3 + 6*o**2 + (2*o**2 + o**2 - 4*o**2)*(-o + 15 - 15).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4442 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -172a0 + -5?\nAnswer: -172a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20862.\nAnswer: 2, 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*h - 303 + 11*h + 20*h + (-3 - 2 + 6)*(-h + 2*h + h) in the form v*h + q and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1637 - 1635. Which is the fourth smallest value? (a) 1.3 (b) 3\/8 (c) 2\/9 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1499 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 5*u**4\/2 - 8*u**3\/3 - 6. What is the third derivative of p(r) wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281826161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 2.4, 3316, -14?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 35*x**2 + 268*x - 28. Calculate t(-19).\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173 and 47921?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-107)\/4)\/((-2)\/16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbvb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -984, -964, -928, -876?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -5*n - 48. Let x = 123 - 42. Let b = n + x. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a - 3*c = -19, -5*a = -4*c - 33. Suppose 18744 = a*u + u. Suppose -2*j = -4*h + u + 4588, 2*j + h = -7722. What is j rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 108 = -6*u. Let j be (-4)\/u - (-1108)\/36. Let n = j - 26. Solve -n*z + z + 16 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5*n - 85*g**4*n**3 + 2*g**2 + 3*g*n**3 - 41*g*n**2 wrt g?\nAnswer: 60*g**2*n - 2040*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3675 + 259a?\nAnswer: 6053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -418.58?\nAnswer: -167.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5027, 10060, 15095, 20132, 25171, 30212?\nAnswer: 35255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {h: 1, g: 1, p: 1, n: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1, 0, -1\/5, -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkgzpkepsgepps. Give prob of picking 2 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03988 and -79.9.\nAnswer: -79.86012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.544 (b) 2 (c) -0.1078\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1409 - 81*v**2 + 19*v**2 + 18*v**2 + 21*v**2 + 24*v**2.\nAnswer: v**2 + 1409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 16*p. Let n be g(-17). Let r be n\/(-34) + (-7)\/(-10). Factor r + 2\/5*c**3 - 1\/5*c**4 - 2\/5*c + 0*c**2.\nAnswer: -(c - 1)**3*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 8:14 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2037*w**2 + 14*w - 93. Let t(r) = -407*r**2 - 3*r + 19. Let h(k) = -11*t(k) - 2*u(k). What is the second derivative of h(q) wrt q?\nAnswer: 806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-45))\/(-7) - 30\/450?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-50)*-1)\/((-4)\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 191 = 2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from zvzvzz.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -0.2.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45, -41, -37?\n\"Answer: 4*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990729 is divided by 142.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 2:03 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24004 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*r + 15, 0 = 2*r - 5*r + 4*y - 14. Let u = -22.8 - -22. Which is the closest to u? (a) -3 (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 7151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcie when four letters picked without replacement from tggeccif?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 3*r**3 - r**3 - 4*r**3 - 1. Let f be 1*-1 + 0\/(-3). Let z be 0 + 1*(2 + f). Calculate k(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 471311372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/15 + (-22)\/(-5). Let p(k) = 1 - 4*k - y*k - k. What is the remainder when p(-1) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 20*w**2 - 41*w - 25. Let t be i(17). Let p be -1 + -4 + 0 - (-53 + -10). What is the greatest common factor of t and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 5\/2, -2\/427, 0.2, -0.1, -11?\nAnswer: -2\/427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**6\/15 + 4*t**5\/25 - t**4\/5 - 16*t**3\/15 - 7*t**2\/5 - 4*t\/5 + 73. Factor g(p).\nAnswer: 2*(p - 2)*(p + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2998*g**3 - 8737*g**3 + 3000*g**3 + 2971*g**3.\nAnswer: 232*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -7. Suppose x*p - 6 = 3*p. What is the second derivative of -p*a**2 + a**3 + 3*a + 3*a**2 + 0*a wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240530618 to the power of 1\/2, to the nearest integer?\nAnswer: 15509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*1*sqrt(68))\/sqrt(4))**2 + -1.\nAnswer: 4*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfg when three letters picked without replacement from {l: 1, t: 1, f: 1, p: 1, g: 1, s: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4345 + 4412 - (12 - -1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*(11 + 15*165\/(-45)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-3))\/(3\/(-171)). Let m = x + -17. Find the third derivative of -4*d**5 + d**m - 2*d**2 + 0*d**5 wrt d.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 + -147. Is ((-143)\/o)\/(2\/32) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51273 (base 9) to base 8\nAnswer: 101742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 7. Suppose 0 = -12*p + t*p + 9. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557929674 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 373148 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2116*f + 1069*f + 262 + 1048*f.\nAnswer: f + 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 140\/21 + (-3)\/(-9). Solve 22 = 3*u + w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by ((-114)\/(-4))\/(20\/15 + 414\/(-432)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107977.\nAnswer: 19, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 14) in base 10?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8*m**(-14)*m)**(-2\/33)\/((m**(2\/3)\/m)**(-41\/5))**30 assuming m is positive.\nAnswer: m**(-2696\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1, 5, -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 508131 and 7676?\nAnswer: 38617956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59654, 484568, 1637908, 3883886, 7586714?\n\"Answer: 60702*d**3 + d**2 - 3*d - 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) + (-188)\/(-5). Let t = r - 113\/3. Let u = -0.06 - 0.04. What is the second biggest value in t, u, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/18039882 and -58\/3.\nAnswer: 18039882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1657 - -6315. Let i be d\/18 + (-18)\/(-81). What is i rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 2. Suppose 3*g - 44 = 4*h - g, -3*h = 5*g + q. Let k = h + 13. What is the remainder when 7 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3645, -3723, -3853, -4035, -4269, -4555?\n\"Answer: -26*u**2 - 3619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91\/4 - 23. Let p = 1 + -1. Let f = -9 + 26\/3. What is the third biggest value in p, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-855)\/(-273)) + 2\/7. Which is the nearest to 2\/7? (a) -2\/7 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sixsxqsxixxqqbxqiq. What is prob of sequence iiix?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 + 9539254*z - 90997366876516.\nAnswer: -(z - 19078508)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26487\/(-233805) - (-1)\/13.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -25, 0 in ascending order.\nAnswer: -25, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n + 304 - 148 - n**2 - 7*n - 140 + 4*n.\nAnswer: -(n - 1)*(n + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2116)\/(-42) - 2\/(-6). Let g = 51 - h. Is g less than or equal to 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10 and 2.85?\nAnswer: 7.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 3*o + 8. Suppose -4*f - 5*d + 8 + 0 = 0, -4*f = 2*d + 4. Let k(r) = 6*r**2 - 8*r + 23. Calculate f*k(p) + 8*g(p).\nAnswer: -2*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/45 (b) 2.9 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Let h be (1 - -1) + -1 + r. What is the second derivative of -h*p**4 + 0*p**4 - p + 2*p**4 wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 5*u**2 - 8*u - 7. Let l be f(-6). Suppose -3*j + j = -2*q + 6, l*j + 16 = 4*q. Let h(o) = -7*o - 1. Let s be h(q). Solve -3 = -3*x + s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.5323794 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -36 + (1 + 0 - (-5 - -11)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 + 650*g**2 + 4057*g + 26. Give x(-6).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 2*r - 2. Let l(o) = 3*o**2 + 2*o - 4. Let h(t) = -16*t**2 - 10*t + 23. Let i(m) = 2*h(m) + 11*l(m). Determine -4*a(b) - 3*i(b).\nAnswer: b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**3 - 5*c**2 + 5*c + 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4701493.\nAnswer: 19, 97, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -159, -420, -765, -1176, -1635, -2124?\n\"Answer: 3*s**3 - 60*s**2 - 102*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 at least 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491269092.\nAnswer: 2, 372817273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 462\/565 + -2\/113. Solve x*h**2 + 0*h - 16\/5 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 9. Let l(n) be the third derivative of n**5\/60 + 5*n**3\/6 + 9*n**2. Calculate -11*l(z) - 6*t(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 + 4*h**3 - 89. Find p, given that m(p) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -25. Suppose d = 4*a + 2*p - 44, -43 = -a - 5*p - 14. Suppose a*s + 380000 = -s. What is s rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4694, 4\/27, 3?\nAnswer: -4694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -247 (b) 4 (c) 2\/21 (d) 0.05 (e) -4\/7 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 119685*b + 112379410.\nAnswer: 5*(b + 979)*(b + 22958)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**4\/12 - i + 3. Let d(r) = -4*r - 1. Suppose 5*s + 3 = h - 1, 3*s = -3. Let o be d(h). Calculate n(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/893475 and -7\/19855.\nAnswer: 893475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 332 + -328. Solve -s = t*x - 2*x, -x + 1 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from qnm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 117*h + 1113. What is the lowest common multiple of 407 and q(9)?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/3))\/(y*y\/(y*y\/(y\/(y*y**(4\/5)\/y)))) assuming y is positive.\nAnswer: y**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 0 + 1)**2 + 1 + 5 + -1.\nAnswer: 12*sqrt(13) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 355\/2 - 177. Factor -s**2 - 1 - 2*s**3 + 5\/2*s - j*s**5 + 2*s**4.\nAnswer: -(s - 2)*(s - 1)**3*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.217 - -0.217. Which is the closest to -0.1? (a) y (b) 0.2 (c) 2\/7 (d) 11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfoo when four letters picked without replacement from foorooofr?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {p: 2, k: 2, u: 2, g: 3}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -17469423?\nAnswer: 17469423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 7560 = 35285. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -261 and 17562.\nAnswer: -4583682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -16.4. Let v = -0.49 + -1.91. Let c = v - y. What is the nearest to -0.2 in 0.1, 2, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -292 - 164?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (31 - 12 - 40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6 = 8. Let y(h) = 64*h**2 + h. Is 7 a factor of y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*i**3 + b*i**2*x + 3*b*i*x + 3*b*i - 280*i**3*x**2 + 1491*i**3*x - 697*x**2 - 64*x wrt i.\nAnswer: -6*b - 1680*x**2 + 8946*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -14\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 311, -1 in increasing order.\nAnswer: -1, 0, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 + 7*r + 5. Let k(i) = -5*i**2 + 10*i + 7. Calculate -7*d(u) + 5*k(u).\nAnswer: -4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**2\/2 + 30993*a\/2 - 341649 = 0?\nAnswer: -10353, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 24. Let i(h) = h + 2 + v + 2 - 5. Calculate i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 10439*q. Let f(n) = n. Determine z(f(o)).\nAnswer: 10439*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3232087 rounded to two decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1045*p**2*v**3 - 11*p**2*v**2 - 14*p**2*v wrt v?\nAnswer: 6270*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 39*j + 9. Give s(21).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*p = 11 + 85. Suppose 0 = -3*m - 5*z + 36, -4*z - p = -2*m - 0*z. Calculate the greatest common divisor of m and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -37d2?\nAnswer: -37d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 0*o**2 - 12 + 0*o + 1\/3*o**3. Let b(q) be the third derivative of q**5\/20 - 3*q**2. What is u(b(x))?\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyycyycyycyyyyyy. What is prob of picking 3 c and 1 y?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and -205.\nAnswer: -204.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + 0 + 13 + -1 + -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 6 = 8*n. Solve n*l + 10 = -2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.42 (b) 3 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7836894 and 1994436.\nAnswer: 5634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - j + 35. Let k(y) = -17. Let n(c) = -7*k(c) - 3*o(c). Let t be n(9). Suppose 0 = 3*s + s - t. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1, 128 in increasing order.\nAnswer: -3\/4, 1, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171*x**6 - 9688*x**4 + 13*x**2 + 5809349*x wrt x?\nAnswer: 20520*x**3 - 232512*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.21 - -0.17. Let q = i + 0.34. Let x = q - 0.299997. What is x rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10631 (base 11) in base 6?\nAnswer: 155145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-6)*(2\/20)\/((-23)\/184)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 1)*2*4.\nAnswer: 8 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, -0.1, 361?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 4. Let y(o) = -2*o - 7. Let x(q) = 7*v(q) - 4*y(q). Let m = -8 - -4. Give x(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*t + 24 = 0, 0*d + 3*t - 18 = -2*d. Let f(h) = h**3 - 5*h**2 - 6*h + 1. What is the lowest common multiple of 5 and f(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395529 to the power of 1\/2, to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 60*k - 725. Does 20 divide z(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)\/c*c**7)\/((c*c**(-2\/5)*c*c)\/c*c*c)**(-5) assuming c is positive.\nAnswer: c**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 862 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/5 - (-3)\/(-15). Let u be 2\/h + (-5088)\/(-33). What is the greatest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*p**3 - 50*p**3 + 3*p - 348*p**2 + 349*p**2 + (4*p**2 - 3*p**2 - 2*p**2)*(-p - 1 + 1).\nAnswer: -3*p**3 + p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/((-12)\/96).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/9, -64, 0.05, 2\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 1, w: 2, x: 2, y: 4, j: 4}. Give prob of sequence wwj.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a + 58. What is x(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (12 - 18)\/(6\/(-3424))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3843, -7501, -11159?\n\"Answer: -3658*h - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.02 - 0.02. Let t = 6 - z. Let w be (1 - 0)\/(-13)*2. Sort t, 3, w in decreasing order.\nAnswer: 3, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 4*p**2 - p - 4. Let x be c(-4). Suppose -3*v = -x*v - 6. Let h(n) = 4*n - 3. Let g be h(v). Solve g*q - 24 = 2*q - 5*a, -5*q + 6 = -3*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -37?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(1 + sqrt(76) + -1 + (-2*sqrt(76))**2*-5).\nAnswer: -4*sqrt(19) + 3038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.083 + 179.5605.\nAnswer: 179.4775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -581*s = -572*s - 72. Let a be ((-5)\/(-2))\/((-7)\/(-70)). Suppose 5*m = -10 + a. What is the remainder when s is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*z**2 + 52*z + 0 = 0 for z.\nAnswer: -78, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (29*-1)\/((-1)\/(-3)*-1). Does 29 divide (-5 - -2)\/(-9*1\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 201\/209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 + -150. What is the biggest value in o, 3, -2, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u - 5*s + 1, 0 = -2*u - 2*s + 26. Suppose -3*p + 5*d - 151 + 23 = 0, -4*d + u = 0. Is (-4)\/p*3453*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -622*u**3*x**3 - 68*x**3 - 2*x**2 wrt u?\nAnswer: -1866*u**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*k - 7. Let j = k + 6. Let r be 1 + 1 - (j - 0). Which is the nearest to 0? (a) -5\/6 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l + 1. Suppose -l*x - 2*x + 40 = 0. Let y = x + -4. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 90823 - 182177 = 0. What is y rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*k**2*s - 82*f*s**3 - 2*k**2*s**3 - 13*k*s**3 wrt f.\nAnswer: k**2*s - 82*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/((-6)\/(-24)). Let x be 4\/10 - b\/(-5). Suppose -5*r = -z + 2*z - 6300, x = -2*z. What is r rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6165 + 2039*p - 6165 + 2*p**2 to the form m*p**2 + d*p + i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 334 = 56. Is d a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 88\/12*(-19152)\/(-38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 8. Suppose -14 = -3*t - k*q + 10, t + q - 9 = 0. What is the remainder when 22 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 885 = -4*d + 8*d, 0 = -5*d - x + 1104. Let h = d - 218. Solve 0 = h*k + k + 4, 2*z - 9 = -k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-14)*i*i*i**(16\/5)\/i)**(-4) assuming i is positive.\nAnswer: i**(176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9326 less than -97152?\nAnswer: -106478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 129685 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -eb20c (base 15) in base 9?\nAnswer: -1356703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230 and 414?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*q**3 + 15469*q**2 + 1428051 wrt q.\nAnswer: 69*q**2 + 30938*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*m - m. Let c(d) = d**3 - 5*d**2 + 3*d + 5. Let r be c(m). Is 4\/3 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 605187417 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 2024.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-13) + 0\/1. Let r = -6.3 + 6. Let g = 2.48 - 2.88. What is the closest to -0.1 in g, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 2*w**2 + 2 + 3*w**4 - 42*w**3 + 42*w**3 in the form m*w**2 + l*w + j*w**3 + k + u*w**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.491123 millimeters to micrometers.\nAnswer: 4491.123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 9:50 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 397*z**2 - 5. Let b(c) = -73*c - 1. Give y(b(i)).\nAnswer: 2115613*i**2 + 57962*i + 392","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190107440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 + 2*x.\nAnswer: 2*x*(x + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -907, -1, 2 in decreasing order.\nAnswer: 2, -1\/2, -1, -907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*m + 371 + 11*m - 2*m**2 + 5*m + 0*m - 35*m as h*m + y + j*m**2 and give y.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(0*f + 4*f - 3*f) - 5*f - f + 5*f + 20*f - 22*f - 51*f.\nAnswer: -56*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 7*h**2 - 5*h + 6. Suppose -5*w + 4*w = -8. Calculate the smallest common multiple of 22 and g(w).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*z + 217*z + 222*z - 658*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7\/2)*g*g**(-36) assuming g is positive.\nAnswer: g**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**2*v**2*w - 6018394*l**2*v**2 + 14020*l**2*v*w - l**2*w - 2*l*v*w + 30*w - 2 wrt v.\nAnswer: -8*l**2*w - 12036788*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(1 + 3) + (543\/(-16) - -20)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, u: 3}. Give prob of picking 4 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-6*(sqrt(66) + 1*sqrt(66)))\/(sqrt(24)\/(sqrt(12)\/sqrt(3))))*-4.\nAnswer: 12 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472*((-57)\/(-108) + (-6)\/(-27)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126129*k**5 - 8*k**3 - 14763194*k wrt k.\nAnswer: 2522580*k**3 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33635051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 + 26. Let p(g) = -7*g**2 - 12*g - 84. Let j(q) = -13*q**2 - 22*q - 154. Let y(h) = -6*j(h) + 11*p(h). What is y(b(z))?\nAnswer: 9*z**4 + 156*z**2 + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -138233\/44 and -3141 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 17*p**2 - 20*p + 6599. Give n(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3501*m**2 - 689?\nAnswer: -7002*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*g = 93*g + 23949. Do g and -888 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 0*t = t + 37, -4*m - 691*t = -696*t - 188 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 97*t**2 + 3605*t\/2 - 1899.\nAnswer: -(t - 211)*(t - 1)*(t + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -452*y**2 - 946*y - 926. Let h(f) = 25*f**2 + f. Let m(p) = -2*c(p) - 36*h(p). Find l such that m(l) = 0.\nAnswer: -463, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000056996 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 824027203, 824027201, 824027199, 824027197, 824027195, 824027193?\n\"Answer: -2*r + 824027205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -6 - -18) + -6 + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.438*10.\nAnswer: -4.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-10*j - 99 + 94 + 18 + (-1 + 1 + j)*(2 + 1 - 4) + 0 + 0 + 2*j - 4*j + 5*j - 3*j) as g + x*j and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 201547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48151*k**2 + 96*k - 30?\nAnswer: -96302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + 0 - (sqrt(17) + sqrt(17) + 1 + -3)) + (sqrt(170)\/(sqrt(360)\/sqrt(9)))**2 + -4.\nAnswer: -sqrt(17) + 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5\/5 + 24*f**4\/5 - 8*f**3.\nAnswer: -2*f**3*(f - 10)*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (54 + 44*c - 54)*(-13 - 14 + 24)*(2 - 2 - 7*c) to r + d*c + v*c**2 and give v.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 230, 433, 628, 815, 994, 1165, 1328?\n\"Answer: -4*t**2 + 215*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*u - 8*u = 2255, -3*u = -4*d + 2249. Suppose -6460 = -10*g - d. Is g a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 r when four letters picked without replacement from ruuururuuururu.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3190 and 21692.\nAnswer: 108460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1249812 and 18.\nAnswer: 1249812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n + 5*a - 55, 0 = -5*n + 5*a + 275. Suppose 4*r = -5*p + 3*p + 20, -3*p + 14 = -2*r. Let l be p\/(-3) - -2 - -55. Is l > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:00 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/21 - (-16674)\/49. Let h be c\/(4\/((-340)\/(-1))). What is h rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/204391110 and 41\/105.\nAnswer: 204391110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 156*o**3 + 12*o - 50. Let b(j) = -156*j**3 - 11*j + 48. Let a(m) = -5*b(m) - 4*g(m). What is the second derivative of a(h) wrt h?\nAnswer: 936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*i - i + 133, 0 = -2*j + 4*i + 74. Suppose 5*n + 3*t = 341, 0*n = -n + 2*t + 76. Let u = n - j. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -16, 0.12, -0.4, 0.08, -1135?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-290)\/(-55) + (-12)\/44\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3404 - -3420. Solve -3*o = -5*j - c, -24 = 5*j + 2*o + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**2 + 19*j + 531. Give y(-17).\nAnswer: 3098","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 11:26 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -208 (b) 1.5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11970914 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 31740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 11*s + 24. Let l be j(-10). Suppose -l*o + 420 = -168. Is o less than 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 464926248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kpkcckccckpp.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/40 and -73\/50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68594080 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 1. Let s(o) = 2*o**3 + 19*o**2 - 19. Let x(h) = s(h) - 3*t(h). Is x(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**4\/5 + 933*i**3\/5 + 703*i**2\/5 - 234*i\/5 = 0 for i.\nAnswer: -1, 0, 1\/4, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 - 3*i + 23. Let w be s(-4). Suppose d = 4*c + 35, -4*d - 3*c = -159 + 57. What is the greatest common factor of w and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 a when three letters picked without replacement from {u: 1, o: 4, p: 1, q: 3, a: 10}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f = p + 60, 68 = 5*f - 3*p. Suppose 60*c + 25 - 385 = -60*c. What is the lowest common multiple of f and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-1010622\nAnswer: 111168.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 5, -1\/2, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -168226 (base 10) to base 5\nAnswer: -20340401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/12 + p**3\/2 - p**2\/2 + 26*p. Suppose -86*u = 486 - 56. Determine x(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1718, 1721, 1726, 1733, 1742, 1753?\nAnswer: 1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -35. Let q = -66.7 + 67. What is the second biggest value in q, k, 2\/13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {i: 2, c: 2, l: 5, u: 6, n: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 - 5 = -5*t, -5*u + 2*t + 27 = 0. Suppose 2*v + 4 = 0, -u*k - 16 = -11*k + 2*v. Solve -z + k*b + 9 = 2*z, -5*b - 7 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2396*a + 5159*a + 5775*a + (0 - 2 + 0)*(a + 4*a - 4*a) + 3*a - 2*a + 0*a in the form r*a + i and give r.\nAnswer: 8537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 6:43 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, f: 2}. What is prob of picking 1 k and 2 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9*j + 3*j - 4*j)*(5*j**2 - 2*j**2 - 4*j**2) + (-3*j + 3*j + 3*j)*(1218*j + 50*j**2 - 1218*j))*(4 + 0 + 0).\nAnswer: 568*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 1 - 2\/(-14). Let u = -13 + 14. Which is the closest to u? (a) g (b) 0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9724 is divided by 1261.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/60 and 10503\/11340 + 21\/(-18).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25675328 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -12679*h + 88736. Determine a(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 41, 46, 53, 62?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/16554*89)\/((-2)\/162*-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - m + 18 = -2*m, m + 11 = -t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 + 157\/2. Let m = -2.97 + 3.1. Which is greater: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-12) - 52\/(-3). Let j be (-12)\/n + 233\/3. Suppose 2*r - j = 91. Calculate the smallest common multiple of r and 20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 11*q**6\/10 + 29*q**4\/6 - 80*q - 26. Let p(x) be the first derivative of y(x). What is the third derivative of p(s) wrt s?\nAnswer: 792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -24*s - 58. Let j = -256 - -240. What is the units digit of o(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 340 = -4*y, y = -y + 5*n + 163. What is the remainder when y is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**3 + 224*m**2 - 502.\nAnswer: -6*m**2 + 448*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -452 - -463. Suppose -4*a - 8*a + 60 = 0. Solve -v = 4*p + a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 = -4*s - 5*t, 0 = 2*s - 0*s + 2*t - 190. Let j = -56 + s. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 29 - 5. Suppose x - g*x - 20 = 0. Put x, 5, -2 in increasing order.\nAnswer: x, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*r + 16808 = 458*r - 9785 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152 - 148. Suppose 59 = 3*z + 5*n, z = -3*n + 17 + j. Which is smaller: z or 20?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 1\/30*z**5 + 2*z**2 + 0*z**4 + 0*z**3 + 2*z + 0. Let r(d) = -32*d. What is r(q(n))?\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-12)*(((s*s**(-10)\/s)\/s)\/s)\/s*s)**(17\/2))**(-33))**(-5\/4) assuming s is positive.\nAnswer: s**(-8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/6*(50\/24)\/5*279946\/13205?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2*6\/16)\/((-1197)\/(-152))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 12 = 2*m. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1920 or 3839\/2?\nAnswer: 1920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -267, -266, -277, -306, -359, -442, -561, -722?\n\"Answer: -s**3 + 8*s - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/40 and -1\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*m - 5*m + 15 = 0, 9 = -3*h - 2*m. What is the fourth smallest value in -1, h, -1\/5, -6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 291 = -3*w, -3*f + 2*w + 2*w + 873 = 0. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 - 5*m**2 + 30. Let c be p(0). Solve -4*t - t = -3*u + c, 4*u - 3*t = 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/20 - (-38)\/(-8). Let s be (-1)\/((x\/4)\/4). Find the third derivative of s*a**4 + 5*a**4 - 6*a**2 - 17*a**4 + 4*a**4 wrt a.\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = s + 3*s. Suppose -177*m + 5*h - 212 = -173*m, -3*h = -m - 60. Let j = m - s. Solve 0 = j*u - 6 + 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - 4*l - 6*l. Suppose -9*o - 12 = -5*o. Let g be z(o). Calculate the highest common divisor of g and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 5*c + 16, -2*q = -4*q - 2*c - 6. Let l(a) = a**3 + 10*a**2 - 24*a + 6. Let j be l(-12). Factor 5*s**2 - j*s**2 + q + 8*s - 8*s.\nAnswer: -(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(5\/(20\/(-8)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(396) + sqrt(396) + -4 + sqrt(396)))**2 + 2)*1.\nAnswer: -144*sqrt(11) + 3582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 10, -2\/7, 17 in descending order.\nAnswer: 17, 10, -2\/11, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -96*d**2 - 25*d + 11. Give y(-3).\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/3 - 23584*i**2 - 1060858*i\/3 - 330036 = 0 for i.\nAnswer: -35361, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07269505291 rounded to 4 dps?\nAnswer: -0.0727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9*w + n + 807 = 0, 603 = 3*w - 3*n. What is the lowest common multiple of 5 and w?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1333 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.39644 + -2.77514. Let f = -0.0113 + c. Let a = f - -2.3779. Round a to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let r(t) = -3*t**2 - 5*t**2 + 10*t**2. Give r(y(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89 * -0.5.\nAnswer: 44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22416663 divided by -3.\nAnswer: 7472221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/15)\/(3\/(72\/128))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57051900.\nAnswer: 2, 3, 5, 63391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 8 + 0*w**2 - 8 + 9*w**2 + 2*w**3 in the form o + u*w + f*w**3 + i*w**2 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219371 is divided by 867.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:16 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/125649 and 68\/897?\nAnswer: 1633437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -6, 2*a - 4*t = 5*a + 2. Let v = 9 - 7. Let j(d) = -3*d - 2*d**2 - d**2 - d**2 - 3 + 6*d**v. Let s(h) = 2*h**2 - 2*h - 2. Give a*j(n) - 3*s(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 2*h**2 - 2*h. Let n be z(-2). Is (-16911)\/(-6) + (-2)\/n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = o + 2*o. Let t(p) = 14*p**2 - 8*p - 8. Let v(f) = -9*f**2 + 5*f + 5. Suppose 4*w + 5*b - 37 = -0*w, -2*w = -2*b - 14. What is o*t(q) + w*v(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/10*(-1)\/((-24)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2186684494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 9:27 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqmmmmm. Give prob of picking 1 m and 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 11*j - 20. Let c be (-7)\/(-14) + 30\/4. Let g be r(c). Solve a = -2*k + 5, 3*a - g*a = 3*k - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11e8e (base 15) to base 5.\nAnswer: -3313114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1380 and 55473470?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -252*o + 240*o + 96 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -20*p**3 - 2*p**2 - 28*p - 163. What is the tens digit of a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -27, 1524, -20 in decreasing order.\nAnswer: 1524, -20, -23, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40.265 or 1\/6?\nAnswer: -40.265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000033571 rounded to 7 decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**5 + 204*k**4 + 1948*k**3 - 4524*k**2 + 2368*k = 0. What is k?\nAnswer: -37, -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -231*s - 1100. Let z(m) = -17*m - 80. Let f(k) = 4*t(k) - 55*z(k). Let d(u) be the second derivative of -13*u**4\/4 + u. Give d(f(w)).\nAnswer: -4719*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 595 - 595. Solve y = -13*g + 21*g - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*b = 0, -20 = 14*c - 16*c - 4*b. Calculate the smallest common multiple of 40 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 397 - 397.329. Let b = g - -0.323. What is b rounded to four dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -348, -486, -4 in descending order.\nAnswer: -4, -348, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -249, 167, 583?\n\"Answer: 416*x - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 + 8*q - 5. Let a be (10\/4)\/(1\/2 + 0). Let t be h(a). Let z = t + 45. Solve 0 = -7*d + z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5343059.\nAnswer: 37, 144407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-475)\/285*2\/(-10))\/((-125)\/(-45)).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1373*j**3 + 2388*j**2 wrt j?\nAnswer: 8238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175.2 + -175. Let p = 0.2 + -1.2. What is the smallest value in p, 1.3, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-378)*413 - 14\/(196\/70))*3\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.78460694 to 2 decimal places.\nAnswer: 3.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 7. Suppose -4*r + 3 = -5. Suppose 5 + 7 = 5*u + r*y, u - 2*y = 0. Suppose -1 = -u*f - 7. Give l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91634528.\nAnswer: 2, 503, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 6*r**2 - 3*r + 80. Let g = -271 - -278. Let y be z(g). Calculate the highest common divisor of y and 520.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(0 + (-5)\/(-10)). Solve 2 = -2*s - m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324 (base 5) to base 10\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 31*p**2\/3 + 1238*p\/3 - 80\/3 = 0.\nAnswer: -40, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 684719 - -7?\nAnswer: 684726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Let h = 93 - 90. Let m = h - f. Solve i - 5*i + 12 = m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 754*u**5 + 1918*u wrt u?\nAnswer: 15080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - 7 + 9 + 4*w**2 + w**2 + 4 - 4 + (-1 - 2 + 2)*(0 + 0 - 2*w**2) - w**2 + 1 - 1 + w**2 + 2*w**2 - 2*w**2.\nAnswer: 5*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 8. Suppose 58 = v*g - 22. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24\/(3 + 0) - 2 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j**2 - 4*j. Let k(b) = -b**2 - 5*b - 3. Suppose -2*i - 12 = 2*i. Let r be k(i). Let u be o(r). What is the greatest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1323?\nAnswer: -1323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 + 9*w**2 - 18*w - 1. Determine x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*b - 65, -2*b - 2*b + 3*v = 49. Is b <= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goayi. Give prob of sequence goy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -51283 + 1661?\nAnswer: -49622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 4*q**2 - 4. Let h(b) be the second derivative of -3*b**5\/20 + 5*b**4\/4 - 15*b**2\/2 - b. What is -4*h(v) + 15*t(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/2 (c) 1\/3 (d) 1 (e) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -12520\/21, 0.065 in ascending order.\nAnswer: -12520\/21, -0.1, 0.065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9 + 2 - 7*n + 16 + 40*n as m*n + o and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(41*33\/1353)*(-12)\/(-46)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -156 (b) -4 (c) 5 (d) -6\/61 (e) -6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 66. Let w(d) = -2*d**2. Determine w(x(c)).\nAnswer: -2*c**2 - 264*c - 8712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**4\/3 + 11*p**3\/6 + 36*p**2. Let u(t) = -2*t**2. Determine n(u(d)).\nAnswer: -16*d**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158347639 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 0.77, 2\/9, -4 in descending order.\nAnswer: 98, 0.77, 2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 8:36 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052753 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*o + 2*q - 4, 4*o + 3*q = 14. Let l(r) = 0 + 2 + o - 5. Let s(t) = t - 5. Calculate -5*l(j) + s(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-17)\/c**(-4\/3)*(c**10*c)**(-1\/11) assuming c is positive.\nAnswer: c**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 15. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 4*t + 3. Let z be c(4). Let u = -2 + 5. Is z < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1.4, -36, -2, 1\/4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*u - 8*k + 21, 4*u + 2*k + 4 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28\/141 + 1009\/47. Find the common denominator of p and 8\/168*3 - -4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**6\/60 + n**3 - 1. Let x(q) be the third derivative of w(q). Let r(s) = -s**2. Calculate r(x(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5*h - 6. Let a be 1\/6*1 - (-154)\/12. Let z(p) = -p - 13 + 2*p**3 - 2*p - 7*p - p. Let k = -7 + 1. What is a*t(d) + k*z(d)?\nAnswer: d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 3) + 30\/3. Let q be ((-2)\/2)\/(1\/v). Let k be (-1)\/4 + 46\/q. What is k rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38820 + -2\nAnswer: 38818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 227399 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4535 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18874959 is divided by 432.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 + 95*m**3\/3 + 794*m**2\/3 + 1720*m\/3.\nAnswer: m*(m + 4)*(m + 5)*(m + 86)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/300 and 169\/8862?\nAnswer: 443100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 + -15 + 54 + 3\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*l - 215*l = 0. Solve -132*b + 133*b - 6 = l for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1988*q. Let c(w) = 6*w**2 - 7*w + 29. What is z(c(x))?\nAnswer: -11928*x**2 + 13916*x - 57652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427948 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-2)\/2*-1. What is the remainder when m - 2 - (-1 + -17) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 5:43 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/3 (b) -5 (c) -4 (d) -1\/2 (e) 0.4 (f) 90 (g) -0.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 177 - -16514?\nAnswer: 16713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/14941 - -1240679\/2868672. Calculate the common denominator of l and -55\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + -0.2. Sort -0.1, s, -2 in descending order.\nAnswer: -0.1, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9418 and 455073?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/60 - 4*g**2 + 10*g. Let q(n) be the second derivative of 0*n**2 + 0*n**3 - n + 0 + 1\/6*n**4. Calculate v(q(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1631.\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 6*u**2 - 3*u - 1. Let i = 1 + 4. Suppose 3*c - i*c = -12. Determine w(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061593 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from zvxmzvmxzzxdvvxxvz.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.16 in -0.3, -4, -3, -13.88?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 2 = 19*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen sevenths of a week in hours?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(18\/3)*(-60)\/(40\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:03 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -86008 divided by -104\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v + 2*v**2 - 3*v**3 + 2*v**3 + 8*v**2 - 11. Let k be m(11). Let g(n) = 0*n**2 - 3*n**2 + 2*n**2. Let b(f) = 5*f**2 + f. Give k*g(c) + 2*b(c).\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2979 - 2985. Sort -5, -0.12, w in descending order.\nAnswer: -0.12, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let s(c) be the first derivative of -14*c**3\/3 + c**2\/2 - c + 3875. Determine s(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**4\/2 + y**3\/2 - 39*y**2\/2 - 109*y\/2 - 35 = 0.\nAnswer: -5, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 594084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 383, 543, 767, 1055?\n\"Answer: 32*t**2 + 64*t + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2372752553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - b - 701 = 0, 4*b = 3*c - c - 368. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473451?\nAnswer: 7, 37, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*x = 2*x - 20, -30 = -4*a + 5*x. Let q be (-2)\/18 + ((-5)\/(-9))\/a. Sort q, -4, 9, -2.\nAnswer: -4, -2, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 0 - -25 - 2) + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 533 and 109306.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1265 - -14.1265. Put -5, z, 8, -0.4 in increasing order.\nAnswer: -5, -0.4, 8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110641586 to the power of 1\/2, to the nearest integer?\nAnswer: 10519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5314*b*t**2 - 163046*b*t - 343*t**2 wrt t.\nAnswer: -10628*b - 686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 152224, -212 in descending order.\nAnswer: 152224, -3, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*s + 3*s - 17*s)*(2*s + 3*s - 2*s).\nAnswer: 75*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 7*k + 4. Suppose -12 = 5*l - 2*m, -32 = 4*l - 0*l + 4*m. Calculate a(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 344*a - 342*a - 2*s + 44, -27*a - 101*a + 0*s - 458 = 3*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -153*x + 2758. Give w(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82\/4)\/(1187\/(-2374)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 132137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d**2 + 2754*d - 6078. What is m(342)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -358 - -426.1. Let d = n + -68. Suppose 5 = j + 10. What is the nearest to -3 in j, 5, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2424, -4835, -7228, -9597, -11936, -14239, -16500?\n\"Answer: n**3 + 3*n**2 - 2427*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.14 (c) -0.8 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c - c + (4 - 1 - 5)*(-2 + 2 - 2*c))*(-5*c**2 - c**2 + 3*c**2).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from xixxixtxtt.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202693 or 202691?\nAnswer: 202691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 79*f - 513. Let x be c(71). Calculate the greatest common factor of 40 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.469, -0.21, -185, -3 in descending order.\nAnswer: -0.21, -3, -6.469, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 602.9465 millilitres in litres?\nAnswer: 0.6029465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/9947 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -15*v + 652. Calculate x(42).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2058\/(-1715)*(7\/(-3) - (-2 + 3)). Solve 31 = c + 5*a + 7, -h*c = 4*a - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23242 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u + 405 + 37*u - 55*u as m + r*u and give m.\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 893*h**3 + 879*h**2 - 8*h - 5. Calculate i(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 2635419.59?\nAnswer: 263541.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/68 + (-280)\/(-68). Let n be (2\/(-8))\/(4\/(-8))*x. Let z(u) = 8 + 4 + 2*u - 12 + 1 - n*u**2. What is z(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.001040388 rounded to 5 dps?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 f when four letters picked without replacement from {m: 4, f: 1, r: 6, k: 1, j: 2, q: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c**2 + 0*c**2 + c**2. Let n(g) be the second derivative of 2*g + 0*g**2 + 1\/20*g**5 - 1\/2*g**4 + 0*g**3 + 0. Determine 6*l(o) + n(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1831\/2 - -7423\/8. Find the common denominator of -113\/18 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p + 277 + 353 = 0 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-2\/3)*d*d)**(-27)*(d**(1\/5)\/d)\/d**(-3\/5) assuming d is positive.\nAnswer: d**(-451\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/216, -0.3, -2, 0.2, -0.6, -95?\nAnswer: 1\/216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4 + 27*n**3 + 81*n**2 - 987*n + 882 = 0. What is n?\nAnswer: -6, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2130847.\nAnswer: 31, 68737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 698.92+-15\nAnswer: 683.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(192)\/sqrt(4) - sqrt(3)) - (-1 + sqrt(27)) - (sqrt(48) + -3 + 2))*4 + 2.\nAnswer: -12*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1831838 is divided by 610611.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -5. Suppose 5*m + 2*b - 14 = 4*b, 4*b = 3*m - 14. Let x(d) = -2*d**m + 0*d**2 + 3*d**2 + 2*d. Give x(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/1496332 or -1?\nAnswer: -13\/1496332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 395a10 (base 11) in base 13?\nAnswer: 18a627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:01 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5625\/525*(-35)\/(-15). Solve 5*r + a = 0, 2*i - 7*r = -4*r + 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 102*a - 420. Give o(51).\nAnswer: 4782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, 2\/7, -5 in descending order.\nAnswer: 2\/7, 0.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**3 - 13*i**2 + 9*i + 13. Let y(s) = 4*s**3 + 7*s**2 - 5*s - 7. Let n(j) = -3*k(j) - 5*y(j). List the prime factors of n(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 111222 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 0 - 2*r + 0*r**2 - 7\/6*r**3. Let x(q) = -6*q. Determine 5*a(j) - 6*x(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(220) - sqrt(55)))*-6 + sqrt(165)\/sqrt(3)*1)\/(5*sqrt(176) + sqrt(110)\/sqrt(1000)).\nAnswer: 10*sqrt(5)\/201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 20, i + 13 = 2*h - 5*h. Suppose i*f + 0 - 10 = -2*x, 0 = 3*f + 4*x - 10. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338484733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -347\/3 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 0, 3\/4, -12, -0.11, -130?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (735\/(-14))\/(-7) + 3\/(-2). Sort 3, -8, v in descending order.\nAnswer: v, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*6\/10)\/((14835\/(-7475))\/129).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 58*s**3 - 12*s**2 - 24*s - 2. Let d(h) = -h**2 - 2*h. Calculate -b(n) + 12*d(n).\nAnswer: -58*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 4*o**2 - 18*o + 1\/6*o**3 + 0 + 1\/20*o**5 + 7\/12*o**4. What is the units digit of s(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6525ab (base 12) to base 11.\nAnswer: -9a3926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 720 (b) 41 (c) 0 (d) 4\/7 (e) -2.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 4}. Give prob of picking 2 g and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83\/5 + 18. Is t > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371867600?\nAnswer: 2, 5, 13, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(3*5*(2 + sqrt(1728)*1 + sqrt(1728)))**2.\nAnswer: -6224402 - 172800*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19477999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 23. Let r be k(9). Let o = r + 62. Find the third derivative of -20*i**2 - o*i**2 + 4*i**2 - 26*i**4 wrt i.\nAnswer: -624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121068 and 295.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -39697.4 times 7.76\nAnswer: -308051.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -1\/5, -0.1, 3 in increasing order.\nAnswer: -5, -3, -1\/5, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4240*z - 522 + 319*z + 256 + 266.\nAnswer: 4559*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = i - 5*b, -4*i = i + 3*b - 3. Determine d, given that 18*d**i - 43*d - 2*d + 167*d**4 + 18 + 12*d**2 + 6*d - 173*d**4 - 3*d**5 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1321213220 (base 4) to base 14.\nAnswer: cd784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4219751\/13 smaller than 324596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.11 (b) -1 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -24, -4\/3, -0.1, 0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 45.25175m?\nAnswer: 0.04525175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 682 * 68\nAnswer: 46376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 16*u**2 + 3 - 2*u - 8*u**2 - 7*u**2. Give l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**6\/180 + 11*z**5\/120 + z**4\/4 - 1089*z - 2. Let c(o) = 0. What is o?\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 1. Let x(q) = -18*q - 4. Determine 4*p(l) - x(l).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmm when four letters picked without replacement from {b: 5, m: 4, w: 4, j: 1, k: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s*s**(1\/3)*s)\/s**(-2\/5))**(-1\/5))**(5\/11))**(-2\/25) assuming s is positive.\nAnswer: s**(112\/4125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 502 and 29?\nAnswer: 14558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*x**7*x**(-3\/5)\/(x\/(x*(x*x**7\/x*x*x)\/x*x*x)))\/(x**(-1\/6)*x*x\/x**2*(x*x**(1\/2))\/(x*((x*x**(-2\/5))\/x)\/x)) assuming x is positive.\nAnswer: x**(214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/1846*(-5 - -7). Let j = -1868\/10153 + p. Let h = 0.091 + 0.409. Which is the third smallest value? (a) 5 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/15 - (5 + (-4 - (-14)\/(-6))). Solve -b*y - 2*u - 12 = 0, 2*u - 1 - 11 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1382571 and 26806?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 4. Suppose 2*o = -2*m + x, -2*m = -4*o - 4*m + 12. Suppose -5 = -o*j - 5*d + 3, 2*j - 47 = 5*d. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0274 + 0.4274. What is the nearest to 2\/3 in 1, 160, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 91\/(-1430) - 1\/(-5). Let c = f - -4\/11. Determine u so that -1\/2*u**3 + c*u + 0 + 0*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 25037 - 2*s + s**3 + 25037.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1171094 divided by -178.\nAnswer: 585547\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2244)\/(-119))\/33*(-7)\/(-50).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 39\/9)*3. Suppose -4*x = 2*o - 24, 5*x = -o + 2*x + 17. Suppose -19 + w = -o*j. What is the least common multiple of 5 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116443464 (base 7) to base 9\nAnswer: 14775850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssp when four letters picked without replacement from sjpsjjpjssjjp.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -100.7.\nAnswer: -107.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 8*a**2 + 6*a + 3. Let r be m(-6). Suppose -2*o - 13 = -r. Let d(w) = -2*w - 6. What is the remainder when o is divided by d(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.47 + 0.47. Which is the second smallest value? (a) 0.01 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 10*q**2 + 23*q - 10. Let o be k(-12). Differentiate 46*n**o + 22*n - 47*n + 25*n + 5 wrt n.\nAnswer: 92*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142\/3 + -47. Suppose 19 = -11*g + 107. Let k be -1*g\/2 - 174\/(-42). Are s and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0163676288 to four dps.\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10724802 to the nearest integer?\nAnswer: 3275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 2. Let d be g(7). Suppose 0 = d*w + 47 - 432. Calculate the remainder when w is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 9 = -r + 1, 2*r - f + 10 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2485, 9466, 20393, 34684, 51757, 71030, 91921?\nAnswer: 113848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -6*r + 105. Let m be ((-6)\/r)\/(-4 + (-60)\/(-16)). Solve 2*x + 2 = -m*g, 0*x = x - 4*g - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14588, -14561, -14516, -14453, -14372, -14273, -14156?\n\"Answer: 9*s**2 - 14597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 549421 + -1098841\/2. What is i in -q*i**2 + 1\/4*i - 1\/4*i**3 + 1\/2 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 983 (base 14) to base 10.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 77, 169, 317, 533, 829, 1217?\n\"Answer: 2*b**3 + 10*b**2 + 4*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)\/((-6)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 7*k**4 + 3*k**3 + 10 - 9*k**4 - 20 to o*k + u*k**2 + f + h*k**3 + p*k**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 2*o - 3 + 1 + 2*o. Let x be p(-4). Is (-1868)\/(-8) - (-1)\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2417965.5 months?\nAnswer: 201497.125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-114)\/(-4)*(-4)\/3. Is -37 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (1 - (-14 + (13 - 8) - -5)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 27*h. Let a(c) be the third derivative of 359*c**4\/12 - 1922*c**2 - 2. What is b(a(j))?\nAnswer: 19386*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/14 - (-9128)\/(-2548). Let o = s + 95\/26. Which is the second smallest value? (a) -4 (b) -0.2 (c) o (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67897 - 22419 - 5816 = -555*k - 7456*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -16*a**5 - 22*a**5 + 39*a**5 - 6*a**3 + 2*a**4 + 13*a - 6 - 4*a**2 = 0?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrll when four letters picked without replacement from {l: 3, r: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 38 = -3*d - 164, 0 = -5*d - 10. Suppose -b = 2*b - s. Suppose 3*j = 28 + b. Solve 0 = 5*a - a + j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -338 + 473 - 5 - 11*m. Determine c(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f + 10. Let w(p) = -2*p - 3. Let q(h) = -4*k(h) - 11*w(h). Let u be q(-7). Let m = 1772 + -1770. Solve -m*o + 5 = -u*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i**4*i)\/i)\/i*i*i**(-2\/13))**14 assuming i is positive.\nAnswer: i**(1064\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 3, -2, 4, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**6 + 58*l**5 - 3995*l**4 + 3*l**2 + 8*l - 54384 wrt l.\nAnswer: 240*l**3 + 3480*l**2 - 95880*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.576095l to millilitres.\nAnswer: 3576.095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 377 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 11*h**5\/60 + h**4\/3 + 17*h**3\/6 - 11*h**2. Suppose -21 = 5*o + 19. Let a(f) = -4*f**2 - 3*f - 6. Determine o*a(c) - 3*b(c).\nAnswer: -c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyp when three letters picked without replacement from {y: 1, j: 1, u: 6, p: 1, w: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-4)\/(-1296)*((-326)\/1467)\/((-4)\/27)\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 + 146. Which is the second biggest value? (a) 1 (b) -2\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 121 - 70 + 2*c - 61. Let o(y) be the first derivative of y**2\/2 + 22. What is o(r(d))?\nAnswer: 2*d - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 355*x**9\/126 + x**7\/70 - 1037*x**5\/12 + 3*x**2 + 1207*x. What is the third derivative of i(n) wrt n?\nAnswer: 170400*n**3 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -27*z + 150. Determine v(7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-5))\/(2\/(-50)). Suppose -o + 5 - 1 = 0. Suppose o*x - 16 = 2*h, -x + h + h = -n. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*w = -133*w. Solve v + 11 - 15 = w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -248 times -170\nAnswer: 42160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 4\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 12. Let o be -2 + -1 + p + 1. Solve 4*h + o - 10 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*(-8)\/(-12) + -3. What is the derivative of -1 - 1 - 5*r - l*r + 2*r wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/3 + 40*w**2\/3 - 68*w\/3 + 32\/3.\nAnswer: -4*(w - 8)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1261, -16\/43, -1?\nAnswer: -16\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3\/9 + 112*j**2\/9 - 176*j\/3.\nAnswer: -4*j*(j - 22)*(j - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -703*p**2 - 14773*p - 214. What is j(-21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-15)\/9)*(-3 - -78). Let l = -49 - w. Let s(b) = 3*b**3 - b**2 + 2*b. Let o be s(l). Solve 0 = 4*i - o*z - 24, 3*z - z = 3*i - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.12786 and -18.79.\nAnswer: -18.91786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((8 - 5) + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739576040.\nAnswer: 2, 5, 7, 23, 41, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43110364.88 rounded to the nearest one million?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 207339 times 317\nAnswer: 65726463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -48351\nAnswer: 96702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/12 or 99717.06?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3003218, -3003217, -3003216?\n\"Answer: f - 3003219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f - 0*f. Suppose f*u = 5*w - 10 - 31, 2*w - 2*u - 20 = 0. Solve 0 = -4*n + w*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 200728601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2 - -4)\/(-1) + 3. Suppose b*x + 6349 = 7*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20267 or -1067\/8?\nAnswer: -20267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (267\/(-1068))\/((-2)\/(-8)*9\/1)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 11:33 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Suppose u + 9 = c, -c + 48 = c + b*u. Let w = -7 + c. Solve 2*d + 1 = w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4344346013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26427 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2303)\/376*2\/(-35))\/(7\/(-91)*-13).\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1178596 rounded to the nearest 1000?\nAnswer: -1179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -43. Suppose r = -3*y - 5*y + 304. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 174176, 348274, 522372, 696470?\n\"Answer: 174098*t + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*s**2 - s**2 - 4*s**3 - 6*s**6 + 4*s**3 wrt s?\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*c - 690.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143238 is divided by 17904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1656 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.1. Which is the biggest value? (a) x (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -24. List the prime factors of -3 + 1 + (v - -30).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-145)\/10)\/(-29))\/(1 + -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -100474024*j - 112062977.\nAnswer: -100474024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-14)\/(-10) + 627\/(-1155).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32400 and 0.4.\nAnswer: -12960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*2\/(-14) - 0. Let z = 14046.4 - 14041.4. Which is the nearest to 0? (a) z (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3 - 2. Let w be (27 - -2) + -1 - 1. Let c be 2\/(w\/12 + -2). Solve -2*x = -b*f + c, 2*x = -f + 5*x + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59468*c - 708 = -29751*c - 29776*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 + 9*z**2 + 9*z - 9. Let k(l) = l**3 + 2*l**2 + 2*l - 2. Let v(j) = j**2 - 20*j + 18. Let r be v(18). Let x = 6 + -2. What is r*k(p) + x*g(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) + 0 + (-7067680)\/160640. Let d = 3\/1004 - i. Are 44 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/6, 0.19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**5\/5 - 61*w**4\/8 - 15*w**3\/2 - w**2\/2 - 7*w + 4. Let x(k) be the second derivative of s(k). Let x(c) = 0. Calculate c.\nAnswer: -15, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*z = 6, -g - g + 8 = 5*z. Let i(l) = -68*l + 11. Is i(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -358137 or -358169?\nAnswer: -358137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 89. Suppose 0*k + 2*k = 3*t - 23, -3*t - 4*k = 1. What is the remainder when g is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*8*(-13)\/(-208).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22855 and 21?\nAnswer: 68565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 64.47327 micrograms?\nAnswer: 0.00000006447327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let g(p) = 6436*p. What is n(g(c))?\nAnswer: 41422096*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*s = 21, 2*p - 2*s - 2*s - 18 = 0. Let q(j) = -j - 5. Let b be q(0). Let t be 14\/35 - 28\/b. Calculate the highest common divisor of p and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/2618*-17 - 260\/91\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -17*j**2 + 11*j - 5. Let a = -225 + 216. Let t(v) = -4*v**2 + 3*v - 1. Calculate a*t(q) + 2*w(q).\nAnswer: 2*q**2 - 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 50659901\nAnswer: 4\/50659901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -22*l - 2. Let a(b) = -123*b - 12. Let y(z) = 31*z + 3. Let t(q) = -2*a(q) - 9*y(q). Calculate 7*k(n) - 5*t(n).\nAnswer: 11*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/12 - b**3 + 14*b**2 + 31*b. What is the units digit of i(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 7, 1\/7, -1\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55024120656 - -3?\nAnswer: -55024120653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.19 and -2.9?\nAnswer: 0.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*j**2 - j + 187*j**2 + 13 + 2541*j**3 - j.\nAnswer: 2541*j**3 + j**2 - 2*j + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z**4 - 7*z**3 - 13 - 8*z**3 + 8 + 11*z**3 to b*z + p + i*z**2 + k*z**3 + a*z**4 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 550*g**2 + 7489*g + 290. What is o(14)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60920263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5211 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 8*m - 2. Let i be s(3). Let a(n) be the second derivative of -n**3 - 1\/12*n**i + 0 - 3\/2*n**2 + 4*n. What is a(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-48)*2\/(-24)*328\/(-41)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 23. Determine g(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t = -2*u + 73, 2*u - 50 = 2*t. Let k be (354\/(-9))\/((-12)\/(-18)). Let v = t - k. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 9) to base 14\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 15*k - 10. Suppose -o = 15 - 1. Let v be t(o). Suppose -47 = -d - 5*w, -3*d + v*w = d - 284. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.3917 and 2.\nAnswer: 30.7834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -799649\/142 or -5632?\nAnswer: -799649\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 - 16) - (2 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - d - 4. Suppose -15 = -p - 4*p. Let t be i(p). Suppose 135 = j + t*j. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 26*d - 6 = 29*d, -5*d - 11 = -2*x. Sort 78, -3, x in decreasing order.\nAnswer: 78, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.9 and 990?\nAnswer: 989.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/3 (b) -3\/23 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(5\/6)\/h**(-2\/7))**(-6\/17))**(-7\/12) assuming h is positive.\nAnswer: h**(47\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 5*d**2 - d - 5. Let t be a(-5). Suppose t = z - 1 - 14. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**2\/2 - 1453*y\/2 - 166881 = 0?\nAnswer: -1167, -286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1705560601 and 1.\nAnswer: 1705560601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3138648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38057 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288475*o**2 - 288475*o**2 - 4*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5\/5 + 36*a**3\/5 + 48*a**2\/5 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(1276\/87 + -2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3 - 1. Let o be 50\/15 - m\/3. Suppose 0 = -q - 2 + o. Solve q = -w - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1287 - -5711. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 1 + 1)*(-c**3 - 2*c**3 + c**3) + 1003 + 27*c**3 - 8*c**3 - 1038)*(162 + 14*c - 162) to the form m + o*c**3 + y*c + z*c**2 + b*c**4 and give b.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 251 * -4.6\nAnswer: -1154.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 4*w**2 - 9*w + 6 - 6 + 22. Let l be r(9). Differentiate 14 - 10*h - 3 + l + 3*h with respect to h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/27)\/((-1)\/7*4)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 571959974 to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - 2*p**2 - 5*p + 6. Let h be f(2). Find the second derivative of -4061*j - 14*j**4 - 3*j**h + 3883*j wrt j.\nAnswer: -204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7730, 7568, 7270, 6830, 6242, 5500?\n\"Answer: -n**3 - 62*n**2 + 31*n + 7762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14489 + -117?\nAnswer: -145a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26723835.000288 - -26723451. Let m = 384 + g. What is m rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1769*q**3 + 30*q**2 + 6*q. Let o(g) = -1771*g**3 + 35*g**2 + 7*g. Give 7*f(p) - 6*o(p).\nAnswer: -1757*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.00215 + -0.002147793. Round x to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 12.79.\nAnswer: -1.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 2 = 107 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44 + 10?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*((-34)\/(-3))\/2. Let v = 9500 - -3560. Let f be v\/70 + 6\/14. What is the greatest common factor of f and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8499 and 1347.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = -b, 369*x = -5*b + 371*x - 4. Solve b = 2*o + 4*m - 27 + 29, -3*m = 2*o + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5 - 12*w**4 - 30*w**3 + 28*w**2 + 87*w - 72 = 0. What is w?\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + n**2 + 31*n - 6. Determine t(12).\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 1. Let m(q) = -8*q**2 - q - 2. Give 6*a(z) - m(z).\nAnswer: 2*z**2 + z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f + f + 24 = -7*d - 6*f + 26*f, 4*d - 87 = -f for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*2*2\/(-84). Let o = 27 + 70. Let v = -95 + o. Which is the smallest value? (a) i (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 29649*n - 73217298.\nAnswer: -3*(n - 5054)*(n - 4829)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264082, 264084, 264086, 264088, 264090?\nAnswer: 264092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*b - 61*b - 11704 = -318*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -m + 6388, m + 65*l - 61*l = 6384. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 34*q + 18756 - 37553 + 18763 - 17*q**2. Let y(w) = w**2 + w - 1. What is t(o) - 34*y(o)?\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1009*s**3 - 3 - 18*s**2 + 5 + 1010*s**3 + (s - 3*s + s)*(2*s**2 + s**2 - 4*s**2).\nAnswer: 2*s**3 - 18*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17.3? (a) 3 (b) 30 (c) -4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5752*h**2 - 1798*h**2 - 1807*h**2 - 2150*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405*b + 3 = -408*b. Put 2, -6\/11, b, 3 in increasing order.\nAnswer: b, -6\/11, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10439411 and 731.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 + 4 - 1) - -7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.5, -2\/11, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x - 9. Let s(h) = -1. Let g(l) = k(l) - 6*s(l). Suppose 5*o - 7 = 4*b, 5*b - 3*o = -6*o - 18. Is g(b) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**2 + 134128*u + 402348 = 0.\nAnswer: -33529, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 4*a + 36, 5*z - a - 63 = 0. Let m = 3655 - 3643. Calculate the highest common divisor of z and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 934?\nAnswer: -6\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (6 - -4)) + (-2 - 19)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2379 greater than 2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Calculate the remainder when 18689100 is divided by 4672273.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 22*a**3 - 26*a**2 - 16*a + 10. Let n(d) = 7*d**3 - 9*d**2 - 5*d + 3. Calculate 3*h(z) - 10*n(z).\nAnswer: -4*z**3 + 12*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.5 - 45. Which is the second smallest value? (a) -17 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74711210?\nAnswer: 2, 5, 7, 43, 24821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -w + 5*w. Let v = -16 - w. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2423186 and -2423311 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r - 7 + 97. Suppose -18*n + r*n = -2853. List the prime factors of n.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 455.401 + -455. Let p = u - 0.40100231. What is p rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2770.29578 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 870307563 to the power of 1\/3, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/1944)\/(4\/(-160))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-12)*(-831)\/(-26315)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/433529 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 + z. Determine g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*p. Do p and 3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4353728983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 12*o**2 - 16*o - 42. Let h be v(10). Let d = -1690.1 + 1690. Which is the closest to d? (a) -0.4 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5363 + -15?\nAnswer: 534a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 97\/4. Suppose -1 = 5*p - 6. Factor -p - h - f*h**2.\nAnswer: -(h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) 2 (b) -2 (c) 6 (d) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i**2 - 48*i - 89. Calculate the remainder when d(-4) is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -344521\/92 - -3745. Find the common denominator of -31\/43 and v.\nAnswer: 3956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2000340 and 1440?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22996*q**3*v**2 - q**3*v - 9*q**3 + q**2*v**2 - 2*q**2*v - 69*q*v**2 - 23*q*v + 1029 wrt v?\nAnswer: 45992*q**3 + 2*q**2 - 138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2946900 = -33*o - 267*o. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(102) + -6*sqrt(102)*2 + sqrt(102))\/((5*4*sqrt(72) + sqrt(72))\/sqrt(12)) + 0.\nAnswer: -2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20\/91 + -1039\/1001. Which is the biggest value? (a) i (b) 0 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45003*o - 44987*o - 64 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 70 = -4*d, 842*o = 847*o + 11*d - 205 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-4)*-5*1. Let a(v) = -v**2 + 6*v. Does 5 divide a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -2\/13 (c) -3\/2 (d) -325 (e) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22884 to 2 decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 c when three letters picked without replacement from {p: 11, f: 1, c: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.283 take away -0.6?\nAnswer: 0.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 5 + (sqrt(153) - (sqrt(153) + 3)) + sqrt(153))**2*-2 - (sqrt(119)\/(sqrt(252)*-2))**2*-5.\nAnswer: -177323\/144 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijjijzitzjqqii. What is prob of sequence tjjq?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.031, -3\/4, -1482 in decreasing order.\nAnswer: 0.031, -3\/4, -1482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*o + o - 53 = 0, o - 227 = 4*c. Let m = -46 - c. Suppose -4*g + 3*d + 76 = m, 3*d - 9 = -g. What is the remainder when 42 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 139*z + 64801 - 216589. What are the prime factors of z?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 742057 (base 9) to base 7.\nAnswer: 3514666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 3 (b) -2 (c) -642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w**2 - 7. Suppose -5*m - 34 = x + x, 0 = -4*x + 5*m - 8. Let i = 6 - 1. Let p(y) = 13*y**2 - 10. Give i*p(b) + x*g(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 971, 1942, 2913, 3884, 4855?\n\"Answer: 971*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -3 - (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/9*12\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((258\/10)\/(-3))\/(12384\/(-1376)*1\/(-9))?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -43628090 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15533761?\nAnswer: 15533761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-10))\/((-14)\/35). Let z = 0 + v. Suppose -137 = z*o - 389. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 2. Let z(c) = -c**3 - c**2 + 1. Let q(b) = -10*b**3 + 4*b - 48*b**2 - 2*b + 37*b**2 + 11 - 2*b. Give o*q(u) + 22*z(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvvq when four letters picked without replacement from qvqqqqqqqvqqqqqvqv?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -12. What is the first derivative of g*t**2 + 6 - 3 - 3 + 4 wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*z + 33 = 0, 7*z = -2*b + 4*z - 75. Does 7 divide (32\/(-6))\/(7\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 462*r**3 + 3904*r**2 + 2*r + 118422983?\nAnswer: 1386*r**2 + 7808*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*1 + sqrt(1088) + 5 + sqrt(1088) + sqrt(1088) - sqrt(1088))*-6.\nAnswer: -144*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-91)\/26*12\/(-7) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-15 + 34 + 54)*(3*r**3 - 2*r - 4*r**3 + 0*r**3).\nAnswer: 146*r**3 + 292*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.9826042 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71049*p**3*v**5 + 46628*p**3*v - 2*p**3 wrt v?\nAnswer: 1420980*p**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f - 247 = 5*g, 0 = -5*f + g + 335. Suppose -2*u + 15*i = 17*i - 478, 4*u = -2*i + 958. Suppose 4*h + f = u. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7588*y + 65029.\nAnswer: -7588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 8. Let p be q(0). Let r be (-254)\/p - (-7)\/28. What is the highest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/12*(-788)\/591.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*a**5\/5 - 9*a**4\/5 - 252*a**3\/5 - 228*a**2\/5 + 144*a\/5 = 0. What is a?\nAnswer: -2, 0, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/206 - 451\/2678. Let k = -1.98 + -0.02. Let v = 6.7 + -7. Which is the closest to k? (a) v (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 33, -17, 10\/3, -0.106.\nAnswer: -17, -0.106, 1, 10\/3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 2\/(-15) + (-128)\/(-60). Suppose 2*u + 4 = -2*u. Put q, -4, u in increasing order.\nAnswer: -4, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 2*q - 7*j - 12, 4*q - 26 = 3*j. Solve 6 - 1 = 2*y - 3*n, -y = n - q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2192296 is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170) - (-1*sqrt(170) + sqrt(170))))*-5 - sqrt(170)*1*-3)\/(-3*-5*sqrt(40)).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11 = -149. Let a(s) = 22*s - 2380. Let o be a(110). What is the highest common factor of c and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115*206239\nAnswer: -23717485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 3*b**4\/8 - 11*b**3\/2 - 7568*b**2. What is l(12)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.181545 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 - (-10791)\/109 - (17 - -1)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yny when three letters picked without replacement from {h: 4, y: 7, n: 5}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 162986*r**3 + 1816*r + 1816. Let g(h) = -449*h**3 - 5*h - 5. What is 1816*g(u) + 5*n(u)?\nAnswer: -454*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 2\/(-3))*15. Let h be (1 + (-1)\/10*-5)\/((-27)\/(-81)). Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 1074952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52814389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/176 and -89\/960.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3614*y**2 - 6*y + 6. Let p be a(1). Let u = 5174 + p. What are the prime factors of u?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122112 (base 4) to base 13\nAnswer: -9c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2361.3 and -25850272249.\nAnswer: -25850269887.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = r + 3*z - 8*z, -5*z = 4*r - 45. Suppose 3*g - 3*c - 9 - 12 = 0, 4*g - 64 = -5*c. Solve -r*y = -10*y - 20, g = s - 3*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(70\/20 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-156376)\/(-64) + (-4)\/((-96)\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 22757 + 2567 = 0. What are the prime factors of r?\nAnswer: 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**5 - 960*z**4 - 14*z**3 + z**2 + 30418*z.\nAnswer: 180*z**2 - 23040*z - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5818.03 years to decades.\nAnswer: 581.803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) + (sqrt(98) + -1 - sqrt(98))*-2)) + sqrt(98) - sqrt(98) - (sqrt(98) - (-1 + (sqrt(98)*-1 - sqrt(98)))**2).\nAnswer: 21*sqrt(2) + 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -87) + 2 + 2. Let d = t - 25. Suppose -d - 34 = -2*r. What is the highest common divisor of 32 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 51 - 15 = 0. Let f = i - -39. Let c(t) = -f*t - t + t - 3*t. Let w(l) = -3*l. Determine c(w(y)).\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -11, -309, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opoopooppppopo. Give prob of sequence oppo.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 2, p: 2, t: 1, e: 2, i: 5}. What is prob of sequence iip?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002615 rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 103360382 + 1?\nAnswer: 103360383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/42)\/11*(-6)\/(-4)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(650)*-1 + sqrt(650) + sqrt(26))\/(sqrt(22)\/(sqrt(99) - sqrt(11))) + (1 + sqrt(325) - (-3 + sqrt(117)))**2)*-1.\nAnswer: -68 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -17. Suppose -2*b + 171 + d = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36301, 28040, 19779, 11518?\n\"Answer: -8261*b + 44562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-7)\/(-14))\/(15\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30\/9*36\/(-20400)*-20\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 86. What is the remainder when 162 is divided by f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 8:28 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1, -34, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 + 5*t. Let u(w) = 2*w**2 + 2*w. Let r(f) = -2*a(f) + 5*u(f). Let x = -2 + 4. Let o(i) = 2*i - i - x*i. Give o(r(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 263611992 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1053) + 2 + sqrt(1053) - sqrt(1053) - sqrt(1053))**2 + sqrt(1053) + (sqrt(1053)*-6 + 2 - sqrt(1053))**2 + 1.\nAnswer: -243*sqrt(13) + 51614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/27*(-15)\/4*(-20)\/(-40).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 6 + 9*y**2 - y**2 - y**3 + 6. Let o be l(8). Is (-1 - (o - -2)) + 82 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 0, -v = -0*v - h. Let s(b) = b - 1. Calculate s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 24848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 48334 = -3*r, 31*h = 33*h + 5*r - 24154. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32537 + -65073\/2. Put m, 7.72, -0.3, 0.2, -0.4 in ascending order.\nAnswer: -0.4, -0.3, 0.2, m, 7.72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1925, 2349, 3053, 4037, 5301, 6845, 8669?\nAnswer: 10773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -501513?\nAnswer: -501520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(10 - (-21 - (-1704)\/56) - (-59)\/(-91))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -612379 or -612377?\nAnswer: -612377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5741371177 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 6:59 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 7*d**2 + 9*d - 9. Let p be c(6). Suppose -2*l = -13 - p. Suppose w - 20 = l. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d - 9. Let o be -2 + 14 + (-4 - -1). Let l be b(o). Suppose 0 = 17*m - 8*m - l. What is the remainder when 31 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 346987124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 910083631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, -138\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, k: 8}. What is prob of sequence kk?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vllxclcllvvclvvvll. Give prob of sequence ccc.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1445 - 1284.524. Round l to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -171?\nAnswer: -34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37389 - -37405) + 2 + 2 + (-1 - -2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -1811. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 6*k**2. Let w be j(6). Let d(t) = -t + 4. Let v be d(w). Let q = 1.5 - 1. What is the smallest value in -1\/9, q, v?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -21, -11, 19, 75?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**6\/960 - m**5\/80 - 27*m**2. Factor c(b).\nAnswer: -b**2*(b + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, -4, -14999, 0.55?\nAnswer: -14999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let b = -45 - -221\/5. Put -1, o, b in descending order.\nAnswer: o, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llzaadzhlkla. Give prob of sequence zldk.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 24 = b, 28*b - 22*b = 7*b + 4*h for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -469.4444 rounded to the nearest integer?\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -57c7 (base 16) in base 4?\nAnswer: -11133013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 518\/187 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1206\/48 - -4 - 252\/224?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3200930.31 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*o**2 + 29*o - 29*o)*(o**2 - o**2 + o**3) - 21*o**5 + 5*o**5 + 6*o**5.\nAnswer: -106*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1 - 80*s**2 + 2*s + 82*s**2 + 17*s**3 - 3*s**3. Let c be w(-1). Let g be (-2)\/(14\/c + 1). Is g less than or equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/(-12))\/((-3)\/(-4)). What is the third derivative of 6*u**2 + u - u + 21*u**h + u**2 wrt u?\nAnswer: 2520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 4 - 6 + c. Let g be r(2). Is g < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 9 - 4)*(-3*v**4 - v**4 + 5*v**4) + (0*v**3 + v**3 + 0*v**3)*(-3 + 3*v + 3) in the form z*v**4 + k*v**3 + p*v + n + i*v**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1806)\/645)\/(476\/(-20))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - 4*a)*(-86*a + 78*a + 190*a)*(0 + 2*a**3 + 0).\nAnswer: -364*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + (-76)\/(-10). Let n = 0 + f. Let w(a) = a**2 - 16*a + 59. Calculate the smallest common multiple of n and w(13).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 42*j**3 - 3*j**2 - j + 1. Calculate l(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.5 and -1.011?\nAnswer: 4.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -500959782.6.\nAnswer: -500959783.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - (-1 + -1 + 1). Let g = r + 1. What is the units digit of (-26)\/(-22) + (-2)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 21.7 (b) 105 (c) 0.2 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*o + 23 = 0, d = -0*d + 2*o + 7. Let w = 8696 + -8696. Solve w = -5*j - 25, m + 30 - 3 = -d*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(1377)*-1 + -2 + sqrt(1377))**2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4283815977 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3140, -3433, -3728, -4025, -4324, -4625?\n\"Answer: -s**2 - 290*s - 2849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216.9 + 217. Sort 2\/3, -2\/5, 0, g in descending order.\nAnswer: 2\/3, g, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 4*p + 3. Let t be l(-3). Let h = -8 - t. Let x be (-1)\/(-3) + 0 - 11\/33. Sort -2, h, x in increasing order.\nAnswer: h, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9862261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/19 - 97520*u\/19 + 195032\/19.\nAnswer: 2*(u - 48758)*(u - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 6. Let g(a) be the second derivative of a**3\/6 + 9*a**2 + 3*a. Let p be g(-8). Let w be m(p). Solve -6*j + 5*d = -j + 15, w = -2*j + 4*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**2 - 42*g - 6. Let s be w(13). What is the common denominator of s\/(-42)*56*(-6)\/(-108) and 64\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 160?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1718\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15885 and 1765.\nAnswer: 15885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4*-2319\nAnswer: -9276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3255 + 3294. Calculate the highest common divisor of d and 1209.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1572, -3149, -4740, -6351, -7988?\n\"Answer: -t**3 - t**2 - 1567*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 10*a + 70. Let h = 55 + a. Solve 3*n - 15 = 0, 0 = p - 3*p - 2*n + h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 1:19 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -20*z. Let a(o) = -242592*o**2. Calculate a(h(k)).\nAnswer: -97036800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/9 - 2*m**4\/9 - 4*m**3\/9 + 4*m**2\/9 + 2*m\/9 - 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (5 + -3 + 5 + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20920598 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.851*0.3.\nAnswer: 0.8553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4606985?\nAnswer: 5, 677, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: b\"What is the oth term of 35192648, 35192655, 35192664, 35192675?\n\"Answer: o**2 + 4*o + 35192643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -39*n**3 - 6*n**2 + 6*n. Let i(w) = 352*w**3 + 55*w**2 - 55*w. Give -55*d(k) - 6*i(k).\nAnswer: 33*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.5016 or 6067?\nAnswer: 1.5016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2234940, -2234987, -2235034, -2235081, -2235128, -2235175?\nAnswer: -2235222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) -15 (c) 2\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m - 6. Let h be n(-5). Suppose -2*s + b = -h, 3*s + s - 3*b = 61. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 6*h - 2. Let i(y) = -h - 2*y + y + 0*y - y + y**2. What is the units digit of i(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Let o = f - 2.5. What is the third biggest value in -1\/10, o, 2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4381 - 5716 = -146*r + 14287. Calculate the remainder when 210 is divided by r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-26)\/((l\/(l**21\/l))\/l) assuming l is positive.\nAnswer: l**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*140\/((-70)\/10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94 + -65. Suppose -4 + 16 = -4*o, 3*o = 3*i - 60. Calculate the remainder when c is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -36. Let h = -3 + 2. Which is the nearest to 1\/4? (a) h (b) u (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*h + 6*h - 55*h + (4*h + 0*h - 2*h)*(1 + 0 + 0))*(-1 + 1 - 2)*(-7 - 7 - 11) as o + k*h and give k.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 84*c**2 + 1080*c - 240. What is the remainder when s(-68) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2, 4*r + 3*i - 1 = 2*i. Suppose -2*m - k + 11 = r, -3*m = -2*k + 6*k - 24. Suppose -3*c = -2*c + m*x - 27, 5*c - 4*x = 39. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:26 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/y)\/((y\/(y*y**16))\/y) assuming y is positive.\nAnswer: y**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19582176 bigger than 19582174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 111423050491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 376 and 2014185.\nAnswer: 16113480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6942)\/1335*(-5)\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g. Let z(a) be the second derivative of -4*a**4\/3 - 94*a. Determine b(z(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwq when four letters picked without replacement from {g: 4, w: 3, q: 6, e: 2}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - 11?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 7*t**2)*(-4*t + t + 4*t) - 2*t**3 + 3*t**3 - 2*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11110101101101010101000 (base 2) to base 6\nAnswer: -444322504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**4 - x**3 - x**2 + 2*x - 1. Let c(p) = -52*p**4 - 3*p**3 - 3*p**2 + 6*p + 175. Let a(q) = c(q) - 3*z(q). Find the first derivative of a(r) wrt r.\nAnswer: -196*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -14. Which is greater: -15\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2432612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -22, 3, 13, 1\/10, -18, 22 in descending order.\nAnswer: 22, 13, 3, 1\/10, -2, -18, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 9, 0.4, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by -25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Let k = 1 - g. Suppose 4*y - 3*b + 7 = 17, -4*y - 5*b + 26 = 0. Solve -y = 5*v + k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 5211465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34408, 68832, 103306, 137836, 172428, 207088, 241822?\n\"Answer: n**3 + 19*n**2 + 34360*n + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1745.27 to the nearest ten.\nAnswer: -1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2938621.\nAnswer: 7, 419803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130472*h**4 - 2*h**3 + 2*h**2 - 28244*h + 8 wrt h.\nAnswer: 1565664*h**2 - 12*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 476858 to the power of 1\/2, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2497 is divided by 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(4 - 4 - 5*c**3 + (c - c**2 - c)*(-4*c + 2*c + c)).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 6*t + 9. Suppose -2*a + 2*h + 8 = 0, a - t*h + 13 = 3*a. Solve -6 = -5*o - 3*c - 1, 3*o - a*c - 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*(-5436)\/755*40\/16?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -49*w + 17. Let n(l) = -98*l + 34. Let k(o) = -3*n(o) + 5*s(o). Differentiate k(d) with respect to d.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 14002 = 8*s + 3*k, 21003 = 3*s - 5*k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j - 3*i = 14, i - 4 = 3*j. Let o(u) = 19*u + 2. Determine o(j).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5200328.7611 + 5204322. Let d = -3974.86 + a. Let w = -18.4 + d. What is w rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)*g)\/g*g*g*g*g**(-5\/4)*(g**(1\/8)\/g)**34 assuming g is positive.\nAnswer: g**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 + 69*n**2 + 9744*n\/5 - 10092\/5.\nAnswer: 3*(n - 1)*(n + 58)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + (-9)\/2)*-6. Suppose 5 = -l - o. Is -9 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1264 divide 3598024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 99*s + 566. Let y be a(98). Let k = 260 - 152. What is the greatest common factor of k and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6228248 and 416?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 54*a - 407. What is d(-1)?\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.76*-0.06.\nAnswer: -0.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.006962 and 44.98.\nAnswer: -0.31315076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1284 - 1283.9. What is the third biggest value in a, 3, 46, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 61*w + w**3 + 61*w + 0*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-8) - (1 + -1). Let j = -844 + 848. Solve i*c = -0*c + 5, -1 = -b + j*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwzx when four letters picked without replacement from {x: 2, l: 2, z: 4, w: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4763.789 years?\nAnswer: 476.3789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 0.4, 8 in ascending order.\nAnswer: 0.4, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 1\/2*a**3 - 1\/12*a**4 - 5*a + 8*a**2 + 2. Find the first derivative of o(f) wrt f.\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 - 186. Find the third derivative of 12*t**2 + 2*t**6 - 29*t**x - 57*t**2 - 2*t**5 wrt t.\nAnswer: 240*t**3 - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2 + 46216724*h - 46216726 = 0. What is h?\nAnswer: -23108363, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -775, -1482, -2189?\nAnswer: -2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r = -12120. Let g(s) = 5*s**2 + 81*s - 70. Let n be g(-17). Is n\/(-10)*1 + r\/30 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7024?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1 (c) 2\/11 (d) -1 (e) 15.4 (f) 4\/47 (g) -2\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 16 = 7*u. Is u\/4*1976\/(-13) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let p(g) = g**2 + 5*g. Suppose 0 = -2*x + 14 - 6. Suppose z + 5 = -0*z. Let k(m) = m**2 + 4*m. Let i(u) = x*p(u) + z*k(u). Calculate s(i(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17199*h + 34060*h + 35751*h + 34744*h.\nAnswer: 87356*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ypypyyyjypyppjy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:27 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35*f**2 - 59*f**2 - 15*f**2)*(2 - 2*f**2 - 2) - 5*f**4 - 2*f**4 + 5*f**4 to the form l*f**4 + i*f + a + n*f**3 + q*f**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5\/2*f**3 - 40495\/2*f - 39605\/2 - 895\/2*f**2 = 0.\nAnswer: -89, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(13) - -5*1*sqrt(13)) + 3*sqrt(52)\/sqrt(4) - (1 + sqrt(39)\/sqrt(27))) + 0)**2*4.\nAnswer: -208*sqrt(13)\/3 + 35188\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*a - 364 + 11332 = 0 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239329301, 478658604, 717987907, 957317210, 1196646513, 1435975816?\nAnswer: 1675305119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 2) + -36 + 41. Which is the nearest to 3.47? (a) 3 (b) r (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33.3, 1\/8, 2, -11\/2, -5, 34 in ascending order.\nAnswer: -33.3, -11\/2, -5, 1\/8, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -4 - (-66 - -29)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2590*q + 50510 = 13132 - 102482 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -22*w**3 + 10*w**2 - 12*w - 12. Let i(y) = 9*y**3 - 4*y**2 + 5*y + 5. Give -12*i(b) - 5*m(b).\nAnswer: 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 4*h - 3*h + 21, -10*i = 54*h - 58*h + 46 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87)\/(-232)*(62\/(-18) - -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*h - 1\/6*h**2 - 1\/2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -227180?\nAnswer: 227184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147791.7l to millilitres.\nAnswer: 147791700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120) - -1*sqrt(120))\/((-1*sqrt(66))\/sqrt(11)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -53188, -3911, -4 in increasing order.\nAnswer: -53188, -3911, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 57 = -6*x - 38 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6012 divided by -6?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011111001000 - -100011?\nAnswer: -11110011110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001111110 - 1?\nAnswer: -101100001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-13)\/(-4) + 2)\/(9\/336)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/70)\/(-2)*12\/(-126)*-7.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, 0.06, -0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8125235 and 4335?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 562*t**2 + 2*t + 1. List the prime factors of m(1).\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 8*x**2 + 6*x - 7. Let q be f(-5). Suppose 2*k + q - 96 = r, 20 = -4*k. What are the prime factors of r?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -609 - -291. Which is smaller: -317 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + 113223354?\nAnswer: 113223332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59368655 divided by -11873731.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -628? (a) 1.47 (b) 7 (c) 1\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 114902.63?\nAnswer: 34470.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061049057107133 - 0.2.\nAnswer: -0.138950942892867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172992?\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i**(-10)\/i)**26\/((i*i**5)\/i*i*i**(1\/7)*((i\/i**(1\/3))\/i)**(-2\/15)) assuming i is positive.\nAnswer: i**(-132989\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*w - 4*j + 8, 2*j = -w + 8. Calculate the highest common factor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82238 and 9?\nAnswer: 740142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3351 - 3270. Calculate the remainder when 292 is divided by x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k = 25 - 634 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240249207?\nAnswer: 3, 11, 7280279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*s - 40 = -65*s. Suppose -20*d + 17*d - 5*f = 133830015, 3*f = -s*d - 89220009. What is d rounded to the nearest 1000000?\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2571019795 to the nearest integer?\nAnswer: 50705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*u + 6 = 0, 2*b - 4*u = -3*b + 38. Let k be 4\/(-5 - (3 - b)). What is the biggest value in 1\/6, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.8604 to 1 dp.\nAnswer: 70.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 26, 36, 46?\n\"Answer: 10*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11985962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/254, -4, -3\/2 in descending order.\nAnswer: 3\/254, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 50*v - 1. Let u be a(7). Let k(r) = 8*r**2 - 8*r + 18. What is the units digit of k(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9006 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r + 93258*r**2 + 5 - 1 - 27007*r**2. Suppose 0 = 4*n + 3 - 19. Let g be y(n). Round g to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1750*f - 24191*f**4 + 5811*f**4 + 9534*f**4 wrt f?\nAnswer: -106152*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1. Let b(o) be the first derivative of o**3\/3 - 5*o**2\/2 + 11*o + 23. Let s(r) = -b(r) + 4*x(r). Calculate s(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Suppose 5*w - l*w + 74 = 0. Let n = -21 - w. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-2246.\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -11. Let x = k - -7. What is the remainder when 28 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 - 681 = -14*t. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*p + 444 - 67*p - 2415*p**4 + 117*p + 6*p**2 - 9*p**2 wrt p.\nAnswer: -57960*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4994343*p*y + y - 526972 wrt p?\nAnswer: -4994343*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = y - 144. Let f be 113 + -1 - y\/16. Let k = f - -1252. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1325*b**3 + 1234*b**2 - 624*b**3 + 1379*b**3 wrt b?\nAnswer: 12480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - g + 11. Calculate f(-9).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(3)*2*3 - 3*(sqrt(9)\/sqrt(3) + -2)).\nAnswer: -21*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-9))**(-33))**(-22) assuming g is positive.\nAnswer: g**(-6534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*f - 28*f + 96*f - 6136. Calculate the remainder when 942 is divided by f.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -34. Suppose -k = -2*f - 79. Calculate the remainder when -4 - (-2)\/2 - f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18\/5, 1\/61, 0, -3\/4, -0.9, -1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 3*x**2 - 2*x - 1. Let a be f(-3). Suppose -3*m + a*m = 6. Suppose -m*q = 5*k - 21, -2*q = -4*k + 1 - 15. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -42405.8 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l - 2*l - 133*l**3 - 15*l**2 + 122*l**3 wrt l.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 7) in base 13?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 1d2?\nAnswer: -1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 2. Let b be v(3). Suppose -20*t + 68 = -24*t. Let q = t + b. Is q equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.717945 + 0.3.\nAnswer: 1.017945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2694217, 5388433, 8082639, 10776829, 13470997, 16165137, 18859243, 21553309?\nAnswer: 24247329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v + 46*v**2 - 95*v**2 + 42*v**2 - 16 + v**3 + v. Let g be (-47)\/(-7) - (-2)\/7. What is the lowest common multiple of 6 and p(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 4. Suppose -100 = 2*v + 3*v. Let u(q) = -q**2 + 4*q + 65. Let f be u(10). Put b, f, v in descending order.\nAnswer: f, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12d02 (base 14) to base 5.\nAnswer: 2441304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.89917 centuries?\nAnswer: 0.289917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -3 (c) 11\/26 (d) -2\/15 (e) 3\/167\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.89. Let s = 0.5899816 - r. What is s rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 0 + -375 + 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 134*r**3 + 3*r**2 + 3*r + 16. Let n(b) = 103*b**3 + 2*b**2 + 2*b + 12. Let i(t) = 10*m(t) - 13*n(t). Give i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 56574*x**2 - 266378355*x - 3204692100.\nAnswer: -3*(x - 9435)**2*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18664160 and 76523056?\nAnswer: 765230560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -475 - 5?\nAnswer: -47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22002001 (base 3) to base 12.\nAnswer: 34a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**4\/12 + 5*c**3\/3 + 9*c**2\/2 + 8*c. Give t(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 335 + -120. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213041300 + 413?\nAnswer: 213042213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124.77 - 17.22951.\nAnswer: -141.99951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0 - 1\/4*y**8 + 0*y**5 + 0*y**7 + 5\/12*y**4 + 0*y**3 + 61*y + 3*y**2 + 0*y**6. Find the third derivative of o(s) wrt s.\nAnswer: -1680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*18836\nAnswer: 3767.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82419579 * 1.\nAnswer: 82419579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*v - 5*b, 225*v + 3*b = 227*v - 19. Solve -v*w - 38 = -28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 340406.2um?\nAnswer: 340.4062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 18. Suppose -3*a - t + 73082103 = 0, 0 = 3*t + 12 - r. Suppose -3*s = a - 5160702. Round s to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -534 - -327.2. Let p = g - -207. Is -296 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 486 and 20250?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3773 and 11018161.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 14 = 4*a, -2403*g = -2405*g - 2*a - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (((sqrt(448) - (sqrt(448) + -1 + 4)) + sqrt(448))*6 + (sqrt(448)*-2 + 4)*1)*-3)**2.\nAnswer: -36096*sqrt(7) + 266884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*i + 86 = 0, 65*i = 4*q + 113*i - 51*i + 143 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -865 + 850. Sort -6\/5, x, -1\/3, 0.3 in decreasing order.\nAnswer: 0.3, -1\/3, -6\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-92)\/(-9) + 2\/(-9). Let u = 15 + 14. Suppose -k + 17 = 5*h, -y = -5*k - 2*h + u. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 2*v**7\/105 + v**6\/2 + 18*v**5\/5 - 18*v**4 - 432*v**3 + 505*v**2. Factor p(x).\nAnswer: 4*(x - 3)*(x + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (112 + 1)\/(-2 - -1). Let y = -267 - j. Let g be (-6)\/(-33) - (-72)\/y. Which is the biggest value? (a) 6\/7 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/7 less than -0.28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 90\/4*26\/13. Suppose 6*q - c = 3*q. Calculate the remainder when 43 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -241*s + 7. Let t be c(-2). Suppose -t = -5*p + 3*f, 3*p - 279 = -2*f - f. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10935977?\nAnswer: 13, 101, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 1\/30*a**4 - 4*a + 0*a**2 + 0*a**3 + 1\/50*a**5 - 4. Let b(y) be the first derivative of j(y). Find l, given that b(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*r + 3*r. Suppose r*y = y + 8. Suppose -3*l + 41 = y*x, 8*x - l - 37 = 3*x. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/21 + 1\/(-3). Let d = 3.3 - 27.3. Let f = -31 - d. What is the second smallest value in f, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -59, -69, -79, -89?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12179.002 + 12199. Let l = d - 20. What is l rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**4\/6 + l**3\/6 - l**2\/2 + 4*l. What is the units digit of p(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 481856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 - 4*k**2 + 2*k**2)*(-4*k + 0*k + 10*k)*(-4 + 3 + 19) in the form b*k + i*k**3 + m*k**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:10 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -114 in 7, -3, 0.4, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*i + 143 - 143 to the form r*i + w and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 6:35 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -462267*i**3 + 1614235*i**2 wrt i.\nAnswer: -2773602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194409 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/64320747 and -85\/6.\nAnswer: 128641494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3228 + -2073. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13908 = -2654*y + 6131*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 146949\/(-21)) + (-96)\/(-224) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**4\/4 + 2*a**3 + 11. Determine l(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -97398 (base 11) to base 10\nAnswer: -141556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*w - 2 - 46, 4*n - 12 = 0. Let v = w + -8. Let c = -44 + 51. Calculate the least common multiple of c and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*z + 4*o, 2*z - 7 - 3 = 4*o. Put 1, -8, z in ascending order.\nAnswer: -8, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -13. Suppose -4*z - 4*u + 27 = -d*u, 60 = 5*z + 5*u. Let l = z + -9. Solve l = 5*j - 3*c - 25, 0 = 2*j - 4*j - 3*c - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -699, -708, -729, -768, -831?\n\"Answer: -l**3 - 2*l - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -700380\/2443 smaller than -288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26852955.\nAnswer: 3, 5, 1039, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260229369?\nAnswer: 3, 97, 894259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**2 + 17. Let o(g) = -g**2 + 90. Let s(k) = 5*k**2 - 406. Let r(d) = 9*o(d) + 2*s(d). Suppose -2*i - 102 = -4*i. What is i*r(q) + 6*h(q)?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 541 + -1105. Let c = -356 - k. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.37, 3, -2\/5, 0.01, 0.14 in decreasing order.\nAnswer: 3, 1.37, 0.14, 0.01, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(4)*-3))\/(sqrt(108)*2).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 5. Suppose c - 4*c + 6 = 0. Suppose -c*q + 18 = 2*h, -9 = -0*h - 3*h. What is the highest common divisor of d and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*r**3 - 827*r**2 - 978619*r wrt r?\nAnswer: 726*r - 1654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 8*n + 9. Let l be m(-7). What is the highest common divisor of l and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 102569061379 and -0.02.\nAnswer: 102569061378.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**2 - 4. Let k(n) = 4*n**2 + 5. Let h = 15 - 11. Let p(c) = h*k(c) + 6*l(c). Differentiate p(r) wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-25 - -11 - -11) + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(175\/30) + 2009\/1845 + 232\/(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.665 * 36.2\nAnswer: -24.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a - 1012*g + 1017*g - 6, 2 + 25 = a + 5*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 110974, 110973, 110970, 110965?\n\"Answer: -k**2 + 2*k + 110973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 9*m**2 + 11*m + 5. Let w be g(10). Let y = 19 - w. Let b be 1\/(-3) + (-32)\/(-6). Solve -29 + y = -b*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxggkhj. Give prob of picking 1 g, 1 j, 1 k, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - c + 3 - 2*c + 2*c + 2*c + (-4 + 4 + 2*c)*(0 - 3 + 2) + 3 + 3*c - 3 + 4*c + 4*c - c)*(0*c + c + 6*c).\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 11*n + 0*n**3 + 41\/12*n**4 + 45\/2*n**2 - 2 + 1\/20*n**5. Differentiate a(q) with respect to q.\nAnswer: 3*q**2 + 82*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 29*s**8\/56 + s**7\/21 - s**4\/6 + 7*s**3 + 2*s - 38. What is the third derivative of b(z) wrt z?\nAnswer: 3480*z**3 + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4\/7, -302, -5, 2 in increasing order.\nAnswer: -302, -5, 0, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*u - 2. Suppose u*k + 1 = 2*k. Let d be k\/(-4) - (-11)\/4. Solve d*q - 4 + 19 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3429358381\/282 + 12160875. Let p = m + -89\/3. Is -1 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*s + 215*s - 18*s = 3905 - 50641 for s.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*z + 136*z - 134*z = 980 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66053430 a multiple of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 2*u - 9. Let j be f(7). Let w = j + -28. Calculate the remainder when (0 + w)\/(2\/1) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*p + 3*p - 7, -28 = -4*s - 2*p. Solve -4*z + 3 = s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1434\/(-7887))\/(1\/(-55))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 6) in base 12?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 1633?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96509277 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -2, 0, 172, 3, -5 in ascending order.\nAnswer: -53, -5, -2, 0, 3, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2)\/(-5))*(9 - 5700\/625).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-48))\/((-240)\/(-640))*(-4)\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 + 139. Solve -m*x = -4 - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10727 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxxxnxxxxxxxx. What is prob of picking 2 x and 2 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189139705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4164, -79.\nAnswer: -4164, -79, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 33 - q - 9*q)*(3 + 5 - 4)*(-2 - 2 + 2).\nAnswer: 80*q - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1905016 times -1?\nAnswer: 1905016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.1479?\nAnswer: 0.5916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 50*q**3 + 49*q**3 + 2*q - 2*q**2 - 5 in the form f + b*q**2 + i*q + v*q**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3724043570 to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267 - -531. Suppose -n + 159 = 4*u + u, -42 = -2*u - 4*n. Calculate the highest common factor of z and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 13*s - 21. Let x be o(8). Solve -7*p - x = -8*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 835 is divided by 90?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert b93 (base 13) to base 6.\nAnswer: 13055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 6*u**2 - u + 6. Let g be z(6). Suppose 68 = 4*s + 72. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.1, -2063\/5718 in decreasing order.\nAnswer: -0.1, -0.2, -2063\/5718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232241 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*q + 6. Suppose -65 = -5*z + 5*r, -q*z + 29 + 18 = -r. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 + 11. Suppose 3*u = 7*u + 8. Let c be (-20)\/(-8)*(-8)\/(-10). Let w(g) = 0 - 2 + 0 + g**2 + 0*g**c. Calculate u*b(h) - 11*w(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 1317?\nAnswer: 9219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -83, -77, -69, -59?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7340 - 330\/(-5 + 20) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12032 - 131011?\nAnswer: -203103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 3*j**5\/5 - 34*j**4\/3 - 458*j**3\/3 + 160*j**2 + 9046*j. Let g(a) = 0. Calculate a.\nAnswer: -5, 1\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1184, -2393, -3602?\n\"Answer: -1209*b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t - 569 - 451 = 0. Let i(h) = 2*h**2 + 5*h + 1. Let x be i(5). Let c = t + x. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 - 49*u + 14. Let s be p(12). Put 2\/11, 9\/7, s, 1\/3 in decreasing order.\nAnswer: s, 9\/7, 1\/3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 7. Let r = v - -3. Let j = 0.1 - 0.2. Sort j, 5, r in decreasing order.\nAnswer: 5, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 322426.74, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 37.\nAnswer: -58\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 402*t**5 + 188*t?\nAnswer: 8040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 66*p = 1586. Let c(t) be the third derivative of -t**5\/60 + 25*t**4\/24 + 7*t**3 - 2*t**2. Calculate the smallest common multiple of c(p) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 81*s**5 - 315*s**4 + 390*s**3 - 180*s**2 + 24*s = 0. Calculate s.\nAnswer: 0, 2\/9, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 338 - 353. Which is smaller: q or 0.06?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2175 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/4)\/((-505)\/(-6060))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -1 - 4) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 2, g: 4, a: 2, s: 1, z: 6}. What is prob of picking 1 r and 1 m?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 26*w = z - 30, 0 = 7*w + 4*w + 6*z - 115 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5424)\/(-168) - -24 - -4*3\/(-42)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-23 - -13) + 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 357320.4 meters?\nAnswer: 357320400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*c + 86*c**2 - 63*c - 119*c**2.\nAnswer: -33*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1720 or 1908?\nAnswer: 1720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 299201, -0.03, 2 in increasing order.\nAnswer: -0.03, 2, 299201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*6*2.\nAnswer: 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.064, -3, 134?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {j: 3, q: 2, e: 3, c: 3, p: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 28 = 8*g. Suppose g = 5*x - 17. Which is the nearest to 2\/5? (a) 3 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.786718591 - 11472.445398409. Let l = h - -11469.432. Let r = -16.8 - l. What is r rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:38 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 14. Calculate the remainder when 58 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 687*v + 14803. Calculate the remainder when i(-19) is divided by 579.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -14969*q**3 + 3*q**2 - 4*q - 7. Is u(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/7 and 121\/91910.\nAnswer: 91910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -7*y**6\/120 - y**5\/12 + 3*y**2\/2 - 4. Let t(h) be the second derivative of d(h). Find the third derivative of t(s) wrt s.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53226 (base 7) in base 15?\nAnswer: -3d6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 15*k**2 + 8*k + 1. Let x(l) = 164*l. What is x(g(a))?\nAnswer: 2460*a**2 + 1312*a + 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Suppose -z*c = -2*c. Suppose -3*q = -q. Is c greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 + 24*i. Let c be q(-6). Solve c*s + 2*g + 30 = -4*s, 3*s + 2*g + 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 14. What is the highest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 9*f**2 + 3*f - 5. Let t(n) = -4*n**2 - n + 2. Suppose u - 4*u = 6. Determine u*w(k) - 5*t(k).\nAnswer: -2*k**3 + 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**4\/2 - 2*v**3\/3 + 3*v**2\/2 - 4*v + 5. What is the remainder when 38 is divided by l(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16308 divided by -6\nAnswer: 2718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -249499*o**3 - 4*o**2 - 89342.\nAnswer: -1496994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -17. Let v(w) = 3*w - 4*w - 4*w**2 + 0*w + c*w**2. Let r = -4 + 3. Calculate v(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32931698 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 527 + 524 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 18. Let b be v(-14). Let f(j) = -j + 4. Calculate the least common multiple of 18 and f(b).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x + 3*g - 536, 4*x + 2*g = 430. Let n = x + 432. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 5. Let m be h\/2*(-30609)\/(-27). Let g = m + 1739. Calculate the common denominator of -44\/9 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282 (base 16) to base 13.\nAnswer: 3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 4 + 1486*l + 1424*l - 2946*l - 4.\nAnswer: -l**2 - 36*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36546 is divided by 1389?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184 (base 16) to base 9.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -196837200 to the nearest one million.\nAnswer: -197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f**3 - 485782*f**2 + 18917476 wrt f.\nAnswer: -12*f**2 - 971564*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30718483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 10 + 4 + 2*k - 19.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*g + 19, 8 = l + 3. Let w be (-6)\/(-42) - (-370)\/7. Suppose -4*y + 79 = f, -3*f + w = -g*y - 142. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-144)\/56)*-70*(-4)\/80. Suppose a + 0*i = -2*i + 31, 5*a = 5*i + 185. Is h smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/30 + (-1)\/((-420)\/18)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3167 - 1743. Suppose -509 = 15*b - p. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -1 - 3*q - 3\/2*q**2. Let p be -9 - -3 - 12\/(-4 + 1). Give w(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 151013007 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116793 and 5464?\nAnswer: 934344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-214)\/(56496\/5148)*4\/(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9320?\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*f = -4*f - 4, -2*f = g - 13. Suppose g*u + 0*u - 34 = 2*m, u + 5*m = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 2. Let i be f(1). Suppose -i*z = -9*z + 60. Suppose -3*j - n = -16, 0 = -j - 4*n - n + z. Solve -2*o - 5 = -15, 0 = -j*b - 4*o - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -5 - 9 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137915938 to the power of 1\/3, to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 5*p + 4*p)*((1 + 1 - 1)*(-3 + 1 + 3) + 3 - 2 + 1 + 20 + 18 - 11)*(-2*p + p + 4*p) to the form h + q*p + z*p**2 and give q.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*k - 2235, -3*d - 558 = -k - 5*d. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - c = 13, 3*m = 17201*c - 17194*c + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -5551*s**6\/30 + 3450*s**2 + 4151*s. Find the first derivative of h(c) wrt c.\nAnswer: -22204*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6070*g**3 - 6849*g.\nAnswer: 36420*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-4*(sqrt(1216) - (3*sqrt(1216) + 5)) + 5 + (sqrt(1216) + 2 + 0)*-6)*4)**2.\nAnswer: 1755648*sqrt(19) + 56991760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12172*t**3 + 1847*t?\nAnswer: -73032*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-8)*q)\/(q*q**(1\/11)))\/((q\/q**(-8))\/q**(-8))*q\/q**3*(q**(2\/9)\/q*q)\/q*q**5\/q*q\/q**(-6) assuming q is positive.\nAnswer: q**(-1670\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27751\/714 + 233\/6. Calculate the common denominator of 6\/17 and i.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) - sqrt(8)*4))**2 - (sqrt(2) - (sqrt(2) - (sqrt(4)\/sqrt(2) + 2))).\nAnswer: -sqrt(2) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190 is divided by 440?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 17*d**4\/24 - d**2. Let j be t(2). Let o = j + -23. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 7. Suppose -4*m = -y*m + 60. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -225*m**2 - 65. Let r(i) = 166890*i**2 - 166897*i**2 + 0 - 2. Calculate 6*o(x) - 195*r(x).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -54*s - 387. Calculate the smallest common multiple of 54 and t(-72).\nAnswer: 21006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 6.5. Let w = -394 + 394.5. Which is the closest to 0.1? (a) -8 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 11:41 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875407927?\nAnswer: 79, 11081113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74664489, 149328978, 223993465, 298657950, 373322433?\nAnswer: 447986914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + 2*(-2*sqrt(475) + 5) + -2)**2.\nAnswer: -400*sqrt(19) + 7696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 661\/3 less than or equal to 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 6371903?\nAnswer: -2548761.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/880 and 187\/25230?\nAnswer: 2220240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from dodfoffaaddfttfdtgff?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 19, -8, -5 in descending order.\nAnswer: 19, 12, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-690)\/(-25))\/23)\/((-4)\/50).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3890 + 1937 = -93*d for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61117*x**4 - 19267*x**2.\nAnswer: -1466808*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32.89 - 3.31. Let r = -36.042 + 0.042. Let q = r - f. Round q to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2\/4 - 459*p\/4 - 231\/2 = 0.\nAnswer: -1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -3*q - 60. What is the greatest common divisor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*l**5 + 29*l**4 - 105*l?\nAnswer: 80*l**3 + 348*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3098466, -3098457, -3098436, -3098397, -3098334, -3098241, -3098112?\n\"Answer: j**3 + 2*j - 3098469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285 - 199. Is z greater than or equal to 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*q + 28 = 0, 3*o + 65 = q + 39 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2. Let t = -196 + 192. Let m(n) = -5*n - 8. Let g(a) = -5*a - 10. Let h(k) = t*g(k) + 5*m(k). Determine r(h(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 441\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*2\/3*249\/(-332))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(112) - (-2 + (sqrt(112) + -2 - sqrt(112)) + sqrt(112)))*-6 + -4*-1*(sqrt(112) + sqrt(112)*1)))**2*-4*-3.\nAnswer: -18432*sqrt(7) + 92928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1528689*f**2 - 1603151*f wrt f.\nAnswer: 3057378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/4)*i**1\/i*(i\/(i\/(i\/((i\/(i\/i**(-5)))\/i))))\/(i\/i**(1\/2))*((i**(2\/3)\/i*i)\/(i\/i**2))**50 assuming i is positive.\nAnswer: i**(1075\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 26 - (7 + (-4 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*o**3 - 21*o**3 + 1 to v + t*o**3 + l*o + n*o**2 and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 33, 30, 1, -60, -159?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -293981, -293800, -293619, -293438, -293257, -293076?\n\"Answer: 181*l - 294162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39\/5 or 9434?\nAnswer: 9434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 5*u + 4*u - 7*x + 11 = -3*x, 5*x - 9*x + 1 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**6\/450 + j**5\/75 + 3*j**3 - 7. Let a(v) be the third derivative of n(v). Factor a(c).\nAnswer: -4*c*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25)\/(8\/(-70)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**3*o - 2*n**2 - n*o - 622*n + 5*o - 540 wrt n.\nAnswer: -3*n**2*o - 4*n - o - 622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 1. Let x(v) = -52*v**2 - 39. Give -39*k(p) + x(p).\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (122\/183)\/(-1*(-32)\/(-6))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004131829616 to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o - 2*p + 28, 2*o - 4*p - 52 = 0. Let q(c) = c**3 - 9*c**2 - 6*c - 8. Let i be q(6). Let w be (5\/(-2) + 1)*i\/(-57). Sort 1\/4, w, o.\nAnswer: w, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - 12) + (-694 - -740).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32376439 to the power of 1\/2, to the nearest integer?\nAnswer: 5690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1295658 divided by -49.\nAnswer: -26442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 10 = -3*n. Let y(s) = -4*s**3 + 6*s**2 + 69*s + 103. Let l be y(-2). Put n, -2, -4, l in increasing order.\nAnswer: -4, -2, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731490750.\nAnswer: 2, 3, 5, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 - 4)*(-z - 2 + 2) - 2 - 2*z + 2.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -6*q + 10. Let g = 6 + q. Solve -g*t - 2*f = -10, -t + 6 = -2*f - 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 - 101. Let g(v) = -v**3 + 4*v**2 + 4*v - 4. Let a be g(4). Suppose -7*f + a = -4*f. Put 3, f, p in descending order.\nAnswer: p, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 28*v - 75.\nAnswer: -(v - 25)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 - 886776*n\/5 - 65530972848\/5.\nAnswer: -3*(n + 147796)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 + 328*v + 666*v - 97)*(-2*v**3 + v - v).\nAnswer: -1988*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*b**2 - 2 - 311*b**2 + 58*b**2 - 536*b**2 + 77*b**2 to the form q*b + f + u*b**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 5*r + 200 = 28, 0 = -26*m + 16*m - 9*r + 6*r + 101 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 5. Let v be c(0). Suppose 14 = i - 4*m, m - 2*m + v = 4*i. Suppose -3*p = -i - 4. Solve -p*y = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3759 divided by -3\nAnswer: -1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 2*v**2 + 6*v - 4868. Let s(f) = 3*f**3 - 3*f**2 + 10*f - 9735. Calculate -5*h(b) + 3*s(b).\nAnswer: -b**3 + b**2 - 4865","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15080.83751 - 0.16249. Let n = 15081.7507 + y. Let x = 0.74 - n. What is x rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -18*h - 64. Let c = -50.8 + 61.8. What is the nearest to -1 in h, c, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -8d4?\nAnswer: -8d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 556958, 556955, 556952?\n\"Answer: -3*s + 556961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1010?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -3, 3*l + 0*y - 3*y = -59 + 20 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*y + 4*v + 2, -4*v = -3*y + 6. Let h(t) = 9*t + 5. Let o be h(y). Suppose -q = -42 + o. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -37081*x**2 - 5*x + 44. Let u be w(-33). Round u to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3724434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.236432 and 254.\nAnswer: 253.763568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 6*h**3\/5 + 176*h**2\/5 - 358*h\/15 + 4 = 0?\nAnswer: -30, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -0.96. Let i be (92\/(-90) + 1)\/(814\/(-7645)). Let g = -1\/74 - i. What is the biggest value in p, g, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y + 29. Let g be n(0). Let k = g - 6. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 133*a**2 + 822*a + 5. What is y(6)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17524?\nAnswer: 2, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -2*n**2 - 1\/2*n**3 + 0*n**4 + 59*n + 1\/20*n**5 + 0. Calculate r(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1225*i - 654 - 636 - 686 + 1976.\nAnswer: 1225*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a = -5*a + 126 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:53 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141754*u + 142076*u - 283831*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/119*14\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*n = -n. Solve q + 2*a + 0 + 4 = 0, n = 3*a + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301 + 97*v + 300 - 907 + 306.\nAnswer: 97*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99629472 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -36387 divided by 292.\nAnswer: -36387\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjjvtia. What is prob of picking 1 j and 2 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 + (3 + -7 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9864 rounded to one decimal place?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11942.86236 rounded to the nearest ten?\nAnswer: -11940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 times 48202\nAnswer: 1108.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:18 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000 (base 5) to base 2.\nAnswer: 1011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -2*u**3\/3 - 70*u**2 - 2450*u + 44. Factor b(v).\nAnswer: -2*(v + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2001 and 14764074?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 206*w**2 + 419*w + 7. Let r be z(-2). Is 4\/2097 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 30. Suppose 4*q - j - 7 = -3*k, 4*q = 2*k - 4. Solve 0 = r + 5 - q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-24))\/((3 + 25\/(-8))*-9)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 8:07 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:01 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5475041*d**2 - 2235113 wrt d?\nAnswer: -10950082*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*h - b, 38262 = -2*h + 4*b + 38220 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 56669028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -519 - -522. What is the second smallest value in c, 2\/9, 13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10234 - -0.02.\nAnswer: -10233.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 26*f + 1. What is p(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35, -106, -289, -638, -1207, -2050, -3221?\n\"Answer: -9*a**3 - 2*a**2 - 2*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -67, -2\/3951?\nAnswer: -2\/3951","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1945511.\nAnswer: 1945511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 4*h - 936. Is 40 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 7:47 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/13, -2, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -k, -900*k + 19 = 4*d - 905*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 2, -23, 0 in decreasing order.\nAnswer: 2, 0, -3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4*w**2 - 1. Let b = -22 - -17. Let c(i) = i**3 - 5*i**2 + 1. Let p(l) = b*m(l) - 4*c(l). What is p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 6*o**2 - 16*o + 3. Let z be r(-8). Suppose 2*h + q = 366, q = -3*h - z*q + 554. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222022210121 (base 3) to base 14\nAnswer: d6ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-5 - -2))*0 - 4. Let z(p) = -p**2 - 7*p + 4. Calculate z(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -23. Suppose 2*l = i - 3*l + v, -2*i - l = -7. Let s be 1\/2 - (i - 100\/8). Calculate the highest common factor of s and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9267 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3586 is divided by 171.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1.9. Let l = -5 + g. Suppose 0 = 3*z - 2*n - 2 - 7, z + 4 = 3*n. Which is the closest to l? (a) 0.1 (b) -1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 6*w**2 - 2*w - 12. Let p be a(-6). Suppose 3*k - 3303 = -p*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 3*o - 5. Let n be v(-3). Let y = n - 9. Find the second derivative of 5*q - 4*q + q + y*q - 9*q**2 wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 2 + -2 + 256 + -257?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-110)*(-17 + -5). Let u(y) = 2*y - 4. Determine u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101683215 and 36?\nAnswer: 406732860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*o + 5159 = 519*o - 108*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) - (-37)\/(-2). What is the units digit of (u\/(-3))\/((-8)\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2169768?\nAnswer: 2, 3, 90407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkxuuvuvu. What is prob of picking 1 x, 1 u, and 1 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17829552 - 27707122745\/1554. Let x = -113\/37 - d. What is the common denominator of 47\/4 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwdidgidgsg. Give prob of sequence wg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -u - 2*u. Let h(n) = 3*n**2 - n - 5. Let f be h(-2). Suppose -u*t = -19*t + f. Solve -2*p - t = -3*v, v = -3*p + 4*v - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30551876 and -133.\nAnswer: 30551743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/12 + 279*j**2. Let m(p) = p - 14. Determine m(s(y)).\nAnswer: -2*y - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1197*n**3 + 4638*n**3 - 3440*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1827916605 >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189394577 divided by 1.\nAnswer: -189394577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(175) - ((sqrt(175)*1 - sqrt(175) - sqrt(175) - sqrt(175)) + 0)) + 4 - ((sqrt(175) + 0)*1 + 5)))**2.\nAnswer: -120*sqrt(7) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 452 and 78064?\nAnswer: 8821232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(32\/12))\/(6\/24). Let l(g) = g - 17. Let c(a) = -a + 17. Give y*l(q) - 5*c(q).\nAnswer: -q + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16827*q**4 - 5582*q wrt q?\nAnswer: -201924*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 13668.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2148)\/(-15) + (10\/(-5) - 1). Let d = 141 - y. What is the closest to -0.3 in 4\/3, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/5 - 312*o\/5 - 6084\/5.\nAnswer: -4*(o + 39)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*f + 2*w, -3*f - w = -0 + 1. Let j be 3*f*-5 - -2. Let t = j - -18. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 5*f + 4. Suppose -4 = 4*o, 3*q + 3*o = 4*q + 1. Does 8 divide r(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-8 - -3 - (26 - 34) - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 3:48 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -546, -514, -454, -360, -226, -46, 186?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -76.1.\nAnswer: -38.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -75580687 and -75580686 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -450*g + 436*g. Solve 6*j = 2*j - g*s + 10, 0 = 3*j - 5*s - 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 3 - 0) + 5 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 6. Let o be f(4). Let s be 1946*12333\/o - -3. What is s rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143715232 to the power of 1\/2, to the nearest integer?\nAnswer: 11988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 177022.38 months?\nAnswer: 1475.1865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from bbkknhtkbkbbkkbbnktb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3)\/12*(1955\/(-395) - -5).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 40 = 3*b. Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(4\/13))\/(v**(-23)*v)*v**(-17)\/(v*(v*v\/((v\/(v\/(v*v**(1\/20))))\/v))\/v) assuming v is positive.\nAnswer: v**(1133\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -135*x**2 - 4698*x + 1030. Give r(-35).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*5*(-36)\/(-252))\/(36\/42)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + ((sqrt(121) + sqrt(121)*-2)*3 + sqrt(121) - sqrt(121) - sqrt(121)))\/(sqrt(77)\/(sqrt(7)*2))*3.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2 - (2 - 4). Suppose -r = -4*a + 4. Suppose -2*w + 252 = a*w. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 143 = -2*o, 4*u = -2*o - 3*o + 183. What is the remainder when 93 is divided by u?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 889344*j + 15117692.\nAnswer: 4*(j - 222319)*(j - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529\/6071 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4 - 1647924*t**3 - 339456688722*t**2 = 0.\nAnswer: -411981, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 275 = 16*x. Suppose -g - 2*r = -36, -3*r + 163 = 3*g - 8*r. What is the second derivative of -x + 38*z + g*z**3 + 11 - 19*z**3 wrt z?\nAnswer: 162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-3))\/(16\/72). Let w = l - -11. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -48\/5 - 3\/5*y**2 + 24\/5*y = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 31*h. Let w(z) = 66*z + 14. Let t(m) = 14*m + 3. Let f(r) = 14*t(r) - 3*w(r). Calculate i(f(s)).\nAnswer: -8*s**2 + 62*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117367*k - 3939 = 117468*k for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 3895*g + 19600.\nAnswer: -5*(g - 5)*(g + 784)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 161?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, -3, 1, -5, -7326, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -4*p + 5*g + 155, -2*p - 84 = -4*g. Let j = p + 45. What is the smallest value in -3, -0.2, j, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4518770 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4683885, 4683867, 4683849, 4683831?\nAnswer: 4683813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 130, 122, 114, 106?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 60*w + 5. Let k(z) = 28*z + 2. Let l(u) = 3*i(u) - 6*k(u). Determine l(6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00096692 rounded to six decimal places?\nAnswer: -0.000967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3358 + -1828. Suppose 27*n = 26*n + j. Round n to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 27*w + 3400. Let q be p(0). What is the second derivative of 20 + 3401*f - 82*f**5 + q*f - 6803*f + 2*f**4 wrt f?\nAnswer: -1640*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71200\/14240)\/((-50)\/48).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66420 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (93\/12)\/((-3)\/12). Let x be (u\/93)\/((-2)\/24). Solve 2*s = -x*p + 6, -s = -4*s - 5*p + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/3 + 44216*o\/3 + 29480 = 0.\nAnswer: -2, 22110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5074788 to the power of 1\/2, to the nearest integer?\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**3\/3 + 2608*o**2\/3 + 158276*o\/3 + 2093192\/3 = 0. Calculate o.\nAnswer: -586, -47, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 2) in base 14?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/10 and 61\/51?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 4, f: 2, h: 1}. Give prob of picking 2 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k, 0 = 4*f - 6*k + 9*k - 12. Does 64 divide (4\/f*-2)\/((-20)\/5370)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/35)\/1 - (-4864)\/12120. Let r = 1016\/4545 - y. Let 0*l - r*l**2 + 8\/9 = 0. Calculate l.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imjhpjhppphim. What is prob of sequence hij?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - 379?\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*x**3 - 3*c**3*x + 1670*c*x**3 - 3710*c*x**2 + 2519*x**3 - 7*x**2 - 1116*x wrt x?\nAnswer: 12*c**3 + 10020*c + 15114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60701976?\nAnswer: 2, 3, 41, 20563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*i - 0*h + 5, 10 = 4*i + h. Solve 0 = -3*z + 2*z - 5*p + i, 3*z = 2*p - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470146 is divided by 15709.\nAnswer: 14585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w - 171. Let x(y) = 8*y - 295. Let n(u) = 4*j(u) - 3*x(u). Determine n(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.3 times -0.4\nAnswer: -4.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 3*b - 9, 0 = -2*p - b - 6 + 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*j + 393 = -5*w + 2*j, -3*w - 97 = 67*j for w.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1492162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c. Let l(o) = 15850*o. Give l(j(z)).\nAnswer: -31700*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22172 by 5543.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/6 - 8900*f**2\/3 + 17797*f\/6 + 5933.\nAnswer: (f - 17799)*(f - 2)*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-4))\/((-3)\/(-48)). Calculate the common denominator of -29\/9 and ((-558)\/v)\/((-6)\/(-4)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -365008\/39, -0.3, 2\/7 in descending order.\nAnswer: 2, 2\/7, -0.3, -365008\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 3*w - 23 = 0, 2*a - 1069*w = -1065*w - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -6d?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2, 4*t - 23 = -2*a - 3*a. Let k = t - 5. What is the third derivative of o**2 + o**k + 5*o**4 + 3*o**2 wrt o?\nAnswer: 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 736225154.\nAnswer: 2, 7, 17, 3093383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/((-4)\/((-40)\/(-15))). Suppose -3*h - h - 20 = 0, 5*z = -5*h + u. Let f(x) = 7*x - 17. What is the lowest common multiple of f(z) and 48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/10)\/(30\/5 + (-671)\/110).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11495, 11490, 11483, 11474, 11463, 11450?\nAnswer: 11435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 226 - 149. What is the units digit of -3 - (-11)\/(f\/3682)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/56 and 29\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2538, 2580, 2646, 2736, 2850, 2988?\nAnswer: 3150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017618664 rounded to five dps?\nAnswer: 0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63574.\nAnswer: 2, 7, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1634412 is divided by 2239?\nAnswer: 2181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:01 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 44650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-410)\/(-70) + -6)\/((-2)\/182). Suppose -k*h - 2*h = -2*h. Solve t - 2 = h, 2*t + 0 = -2*c - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/15203 and 57\/60812?\nAnswer: 60812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.604725 minus -0.184?\nAnswer: -50.420725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 369713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -32. Let g(z) = 3*z**3 + 4*z**2 - 5*z. Let h(s) = -5*s**3 - 7*s**2 + 9*s. Give d*h(m) + 7*g(m).\nAnswer: m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/20 + 5*n**4\/6 + 2*n**3\/3 + 19*n**2 + 9*n - 76. What is i(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9991248 and 6?\nAnswer: 9991248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.07, -1.49?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/8 of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*y + 1, -3*n + 2*y + 2 + 3 = 0. Suppose 0 = n*k + k - 32. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340\/51*(684\/323)\/12\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*l + 2907 + 1073, -q - 4*l - 980 = 0. Round q to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4755, -4754, -4753, -4752, -4751, -4750?\nAnswer: -4749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 43 - ((9 - 31) + 31).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -47*t + 39. Let s be r(-1). Let h = s + -96. Is -23 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 55*o. Let f(j) = -461349*j**2. Calculate f(z(x)).\nAnswer: -1395580725*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4166512 or 4166509?\nAnswer: 4166512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:12 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -779 or -778?\nAnswer: -779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 317 + 317 + 2*s + 2*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 14 + 7 = 0. Let x be (r\/(-2))\/(1\/(-28)). Solve -x*t - 2 = -12*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3598731073.\nAnswer: 7, 514104439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i - 12. Let q be d(4). Let h = -15 + q. Put -5, h, 3, 4 in decreasing order.\nAnswer: h, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 2*p + 28. Let u = p + -29. Let w = u - -13. Let z(n) = -n - 2. Give z(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -s + 22, k + 2 - 8 = -s. Solve 0 = -5*b + s*b - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 126, 261, 522, 951, 1590, 2481, 3666?\nAnswer: 5187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**3\/3 - 6*g**2 - 44*g + 21. Let b be j(-3). Solve -m + 2*m + 4 = -4*r, -r - 3*m = b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 6*p - 4. Let z = 1011 - 1008. Let c(b) = 4*b**2 - 8*b - 7. Let m be c(z). Give s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(19) + 1)**2*2 + sqrt(19)) + (2*sqrt(2736))**2*4.\nAnswer: -10*sqrt(19) + 43696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, -4, 3, -3, 1 in descending order.\nAnswer: 3, 1, -2, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10232 (base 6) to base 15\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 o, and 2 r when four letters picked without replacement from rvycvgyrrov?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2 = -o, -3*h - h = 4*o + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10887664 - -10887662.49999965. Let w = s - -1.5. Round w to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1685.\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13443.\nAnswer: 3, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 871 - 797 = 4*c - 4*c + 5*c, 353 = 4*f + 9*c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1055 - 4144 + 672 - 4098 - 385)*(h - h + h**2).\nAnswer: -6900*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyttytttyyyyty. Give prob of sequence yyyy.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54 and -0.43.\nAnswer: 23.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 - 9*o**3 + 20*o**3 - 15*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1386025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.4 (b) -2 (c) 3 (d) 5 (e) 0.29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*-17914\nAnswer: -17914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12c (base 13) to base 4.\nAnswer: -3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63301651\/1964 - -32231. Calculate the common denominator of 77\/12 and o.\nAnswer: 5892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 2*r + 5. What is h(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1059 times 5\nAnswer: 5295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -678, -241, 196, 633, 1070, 1507?\n\"Answer: 437*m - 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfsr when four letters picked without replacement from {r: 3, f: 6, d: 1, s: 1, v: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 1. Let s(z) = z**2 - 4*z + 4. Let u be s(4). Let i be m(u). Let l be (4 - i)*10\/6. Which is the nearest to 2? (a) l (b) 0 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 187718.8?\nAnswer: 187718.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 156 = 4*m + 2*c, 0 = -2*m - 3*c - 104. Let o be (-1)\/(m\/(-110)) + 2. Let a = -5\/13 + o. What is the closest to 1 in 3, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 6 + 39 - (2 - -1 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = n + 64398, i + 21436 = 2*i + 3*n. List the prime factors of i.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -116, -119, -124, -131, -140, -151?\n\"Answer: -l**2 - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8056 - 8043 = h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 850.7768 millilitres?\nAnswer: 0.8507768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + a + 1. Let t(z) = 9*z**2 - 2*z - 5. Let h(w) = 4*o(w) + t(w). Suppose 2*n - 8 = 0, -3*n = 4*q - 6*q - 16. Is h(q) 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 xuggxqguuxcuqcqu. What is prob of sequence cxc?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -4099125697.\nAnswer: -4099125692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4420, 4564, 4804, 5140, 5572, 6100?\nAnswer: 6724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*x**3 - 336*x + 7*x**3 + 740*x - 406*x.\nAnswer: 248*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a week in hours?\nAnswer: 2562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {r: 1, j: 11}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let q(w) = 8*w + 13 - 38*w - 13. Give z(q(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.686108 - -14.080013.\nAnswer: 12.393905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 589\/(-1705) - 2\/10?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415 = -68*f + 741 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 190\/8*(-29)\/(-145) - (-10 + -9 + 13)?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 22116.5 kilometers?\nAnswer: 22116500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -7.8. Let t = c + 3.2. Let i = 3 - t. What is the smallest value in i, 5\/3, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 8*h - 3. Let g(d) = -2*d**2 + 17*d - 7. Let m(b) = 9*c(b) - 4*g(b). Let p = 8 + -3. Let w be 28\/p - 20\/(-50). Calculate m(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j - 26. Let v be r(-4). Let y(m) = -v + 23 - 14 - 60*m**3. Is y(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 1:22 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*p = 112, -159*p + 154*p = s - 112. What is the greatest common factor of 280 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2620*p**3*y**2 - p**3*y - 8*p**2*y**2 + 594*p*y**2 + 4*p + y**2 wrt p?\nAnswer: 15720*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-525)\/(-112))*6\/(-8)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4346221, 4346222, 4346223, 4346224, 4346225?\n\"Answer: o + 4346220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3954, -3919, -3882, -3843?\nAnswer: -3802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (6 + 12 - (1 - -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 483071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:47 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2307, -1, -5, 10, 3 in decreasing order.\nAnswer: 2307, 10, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 467.9 + -467.9. Which is the smallest value? (a) j (b) -1 (c) 1 (d) 1\/46 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -5419892931?\nAnswer: -5419892930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-4)\/6 + 1)\/(17780\/740 - 24).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8869716, -8869701, -8869686?\nAnswer: -8869671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 5*d**7\/84 - d**5\/2 - 5*d**4\/12 + 5*d**3\/4 + 5*d**2\/2 - 2*d + 8. Factor a(z).\nAnswer: 5*(z - 2)*(z - 1)*(z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/5184 and -115\/132.\nAnswer: 57024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, g: 1, a: 5, o: 1}. Give prob of picking 4 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + -79. Calculate the common denominator of d\/18 + 47\/(-2) and -52\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*a**3 - 59*a**2 - 3*a + 221?\nAnswer: -90*a - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1262360 and -3\/3155900.\nAnswer: 6311800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + -12223221?\nAnswer: -12223243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/3)\/(51\/1666*14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)\/(sqrt(30)\/sqrt(6))*6)\/(sqrt(63)\/(sqrt(36)\/sqrt(4) + sqrt(9)) + sqrt(28)\/sqrt(100)))**2*1.\nAnswer: 3600\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3557560?\nAnswer: 2, 5, 19, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = y. Let v be (3\/y)\/(2\/5). Let r = -0.12 - 0.08. Which is the smallest value? (a) r (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/7 (c) -3 (d) -1\/241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3642.37 weeks in milliseconds?\nAnswer: 2202905376000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66.3 - 66. Let j(t) = 2*t**2 - 4*t - 5. Let i be j(5). Suppose 0 = u + 29 - i. What is the second biggest value in 28, u, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 23*q**2 - 2*q + 1201. Let s be f(-25). Suppose -5*a + 5*w - 20 = 0, 0*a + 3*w = -5*a + 12. Solve a = -2*b - t, -t - s = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 124*j - 182*j - 70*j + 975 - 4*j**2 + 501.\nAnswer: -4*(j - 9)*(j + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25047 is divided by 785?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.867989 to 1 decimal place.\nAnswer: -11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1352 and ((-73)\/2920)\/((-3)\/(-93))?\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*(16 + (-696)\/(-29)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784.1032 decades in years?\nAnswer: 7841.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10699.18km to meters.\nAnswer: 10699180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12847792 and 18?\nAnswer: 115630128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooopowwoiigwiir. What is prob of picking 3 w?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iowyl. Give prob of picking 1 o and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/14 + 36\/84. Solve 5*t + 15 = p, -t - 3 + 10 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/(10\/(-20))*-13. Let v = q - -448. Is 55 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 6:58 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 116444644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 16*r**2 + 17*r + 39. Let q be x(-15). Suppose -13*b + q*b = -4. Is b < -4\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*w - 12, 4*r + w = 2 - 5. Suppose 8*o - 38 + 6 = r. Suppose -3*n + 1660 + 6555 = 4*l, -o*l + 5*n = -8207. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-252)\/1323)\/((-16)\/28).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -ad9 (base 16) to base 4\nAnswer: -223121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73810 + 73809.948299. Round z to 4 dps.\nAnswer: -0.0517","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4))**(21\/4)\/((v**(1\/9)*v)\/v**(-1\/19)))**(-36\/5) assuming v is positive.\nAnswer: v**(3032\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 7. Let f be q(5). Let l be (f - 0)*10\/(-4). List the prime factors of (4\/l)\/((-4)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -9. What is the tens digit of ((-40)\/6)\/(s\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (895*t**4 + 166*t**4 + 80*t**4 - 15*t**4)*(0 + 0 + t).\nAnswer: 1126*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 83 = 233. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 937.6 * 0.057\nAnswer: 53.4432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**2*z**3 + 106*y**2 - 2468080*y + 54163743*z**3 wrt z.\nAnswer: -6*y**2*z**2 + 162491229*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 471, 995, 1577, 2211, 2891?\n\"Answer: -y**3 + 35*y**2 + 426*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -16*y**3 - 13*y**2 + 3*y + 3. Is r(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 + 78. Calculate the lowest common multiple of o(0) and 3.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 740 or 742?\nAnswer: 740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c = -3*f - 29*c - 21, 0 = -5*f - 2*c - 37 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 675356200?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 9537.\nAnswer: -7\/9537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5894836 is divided by 2947085.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1043964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960529.\nAnswer: 751, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-1*-2)\/(sqrt(7) + 4*sqrt(14)\/sqrt(2)))**2 - (-3 + sqrt(66)\/sqrt(6) + (2 + sqrt(11) - sqrt(11))*4).\nAnswer: -sqrt(11) - 81\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 5. Which is smaller: 1\/6 or w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142 + 145. Let c(j) be the first derivative of -2 + 0*j**2 - 1\/12*j**4 - 1\/3*j**d + 4\/3*j. Factor c(f).\nAnswer: -(f - 1)*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51580 to the nearest 1000.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5f6 (base 16) to base 7.\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25085101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 264306*f - 6342192.\nAnswer: -2*(f - 132129)*(f - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 454, 914, 1388, 1870, 2354, 2834?\nAnswer: 3304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1166 - 1167. Which is the closest to 2? (a) q (b) -0.4 (c) -0.14 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144aa2 (base 11) in base 13?\nAnswer: 7bca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 23 + f**2 - 3*f + f - f. Let l(n) = n**2 - 2*n + 12. Let g(h) = 5*l(h) - 3*m(h). Let q be g(5). What is the highest common divisor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 19*w**2 - 25*w - 28. Let p(h) = -3*h + 12. Let i be p(-4). Let t be 1*4 - i\/1. What is the units digit of n(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 3*f**3 + 7*f**3 + 8*f - 3*f**3 - 15*f**2 + 2. Let p be m(14). Round p to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46092 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56402995 and 22?\nAnswer: 112805990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - 5 - 1 - -314?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + w**3)*((5 - 1 - 5)*(-6*w + 62 - 62) + (-w + 1 - 1)*(2 - 3 + 0) + 5*w - 4*w - 3*w - 2*w + 5*w + 0*w + (-4 + 5 + 0)*(-15*w - w + 5*w)).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07484 and 3407.\nAnswer: 254.97988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.052 - 1.148. Let k = o + -14.8. Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:56 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965 - 2*(-1 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6655 - 113. Is f a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 175 = -5*a, 8*a = 2*f + 4*a - 60. Calculate the remainder when f is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1866538724?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -210, -316, -422, -528, -634?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2135.99998993 - -2136. Round s to 7 dps.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14 - 2*c + c - 9. Is h(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2161497 to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*n + k - 3*k, 0 = n - 5*k + 5. Let d = 474 - 446. Solve -6*a - x = -a, n*x = 3*a + d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*b = -4*g + 9, b = 2*g - 27. Let m(w) = -51*w - 89. Let f be m(-2). Calculate the highest common divisor of g and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 1, i: 1}. What is prob of sequence jis?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 725 - 7055. Round k to the nearest one hundred.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79374 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 2*y**2 - 2*y + 7. Let n be m(-3). Let t be 4\/n - 160\/(-88). Solve t*z + z + 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.06 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3548 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 21. Calculate the remainder when 86 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6 - 4*l + 0*l - 37*l**2 + 30*l**2 + 2*l**3. Let m be v(4). Let k(n) = -4*n - 4*n + 0*n + m*n. Let s(b) = -2*b**2 - 8. Give s(k(d)).\nAnswer: -8*d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024970 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -506*f**2*k**2*r + 2*f**2*k - 1031*f**2 + 1473*f*k**2 - f*k*r - 63*k*r wrt k.\nAnswer: -1012*f**2*r + 2946*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2016)\/sqrt(8) - ((sqrt(7) + sqrt(28) + -3)**2 + (-1*sqrt(7)*-6)**2).\nAnswer: -328 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5530)\/14220*(-4)\/14.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 599142106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -2, 9, -64, 5, 78 in descending order.\nAnswer: 78, 9, 5, 2, -2, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 379 - 2411. Suppose -x - 8 + 20 = 0. Is (l\/x)\/((-2)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7160, -7157, -7152, -7145, -7136?\nAnswer: -7125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10281040, -41124181, -92529416, -164496745?\nAnswer: -257026168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 - 2988*l**2 - 8963*l\/3.\nAnswer: -l*(l + 1)*(l + 8963)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21767852?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -672 divided by 48.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 9:20 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*j - 4*j - 10*j.\nAnswer: -59*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s = 4*t + 1 - 147, 25*s - 2*t = -108 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3791*u - 3113*u - 2015*u)*(u + 3 - 3) to k*u**2 + b + l*u and give k.\nAnswer: -1337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*k = 110*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*(-348)\/348\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58220)\/(-60) + 1\/(-3). Suppose 10*t - u = -0*t. What are the prime factors of t?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28759 + -5a94?\nAnswer: -33742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2193980 is divided by 468.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -10. Is s*111*(-34)\/51 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/467050 and 117\/17841310.\nAnswer: 89206550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10 = 5. Sort b, -3, 4, 1.\nAnswer: b, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 84326408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + -1.94. Let n = -39 + 44. Which is the smallest value? (a) n (b) j (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -7, -13, -23, -37, -55?\n\"Answer: -2*k**2 + 4*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/3375*25 + 144\/(-10) - 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 27*d + 5. Let u be a(-10). Let l be 18\/u - (-8)\/28. What is the third smallest value in 0.7, l, -3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -525 - -502. What is the closest to 1 in -0.3, 1, z, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(252))**2 + -1*sqrt(252).\nAnswer: -6*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {g: 3, f: 4, q: 1}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -1. Let i = 9 - w. What is the second derivative of 3*p**3 - 7*p**5 - 12*p**i - 46*p + 9*p**3 wrt p?\nAnswer: -140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 66*f**2 - 2*f - 3. Let n be u(-2). Suppose -4*h - 45 + n = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 8*u. Let x(a) = -a. Let k(c) = 6*x(c) + y(c). Give k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*c = 546*c - 152*c + 82164. Let u(j) = 2419*j - 164. Let n(p) = -44*p + 3. Calculate c*n(g) - 3*u(g).\nAnswer: -41*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -27*j**2 + 0 + 1\/6*j**3 + 0*j + 1\/120*j**5 + 1\/16*j**4. Factor f(w).\nAnswer: (w + 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -843906*q**4 + 3424600*q**2 wrt q?\nAnswer: -20253744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - -1*sqrt(121))*-1 - sqrt(121)) + sqrt(121) + sqrt(121))\/sqrt(11).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.5. Let z(o) = o - 17. Let s be z(11). Let q be (-1)\/((-4)\/(-24))*s\/(-45). Which is the closest to v? (a) q (b) -3\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5\/11, -4, -2, -0.3, -2\/57?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8506, 17007, 25496, 33967, 42414, 50831, 59212, 67551?\n\"Answer: -d**3 + 8508*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.48 * 1.4.\nAnswer: 23.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62.613 - 116.613. Suppose -3*i + 2*i = -1. What is the nearest to 0.1 in i, 4, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.048, -0.19209?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -19381*s**2 - 2*s - 92. Let a(z) = -2*z. Determine a(w(f)).\nAnswer: 38762*f**2 + 4*f + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + 5376\/(-378))*9.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 201447687?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 2*o + 20. Suppose d - 5*d - 268 = 0. Let h = d + 85. What is the least common multiple of h and o?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9893, -9790, -9679, -9554, -9409?\n\"Answer: p**3 - 2*p**2 + 102*p - 9994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1372056.9 hours to days.\nAnswer: 57169.0375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 13, -23, -75, -149, -251?\n\"Answer: -b**3 + b**2 - 22*b + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c**(-20)*c)*c)*c\/c**(-2\/161)*(c*(c*c**(9\/5))\/c)\/(c**6\/c) assuming c is positive.\nAnswer: c**(-17056\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001285700614 to 7 decimal places.\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -87729 plus 0.2?\nAnswer: -87728.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9408)\/5880)\/(4\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 22774?\nAnswer: -22771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6\/7 (b) -4 (c) -3 (d) 1 (e) 3\/29 (f) -1\/3 (g) 1\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v - v. Let q(x) = 2 + 4*x**v + 6*x + x**2 - 2*x**2. What is the tens digit of q(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 43. Let d(s) = 50*s + 569. Let t(u) = 26*u + 341. Let c(x) = 3*d(x) - 5*t(x). What is j(c(l))?\nAnswer: -400*l**2 - 80*l + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56014361?\nAnswer: 13, 23, 187339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/243)\/(((-385)\/(-99))\/(-35))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129 - 48786.\nAnswer: -48657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/21 + (-40)\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (12 - -35) - -78?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {t: 5, c: 6, y: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttntntn. Give prob of picking 1 n and 1 t.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-4 + 2 + 3 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 9060246?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in -2\/7, -2, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 4*o + 0*o - 10*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -35*w**2 + 5*w + 3. Let o be 2\/7 + (-33)\/(-7). Let u(h) = -18*h**2 + 2*h + 1. Determine o*u(r) - 2*t(r).\nAnswer: -20*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -713 + 1219. List the prime factors of h.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.67325 tonnes to grams.\nAnswer: 43673250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153\/551104 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 14*j**2 - 20*j - 2. What is o(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/9 (b) 0 (c) 0.699 (d) 0.3 (e) -1 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c + 1. Let y(j) = -50*j - 30. Determine 30*p(t) + y(t).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 61.3. What is the smallest value in g, 3\/2, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3290*c - 4330*c + 1281*c + 558*c to u + x*c and give x.\nAnswer: -5781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - 20. Let i be x(4). Solve 2*r - i = -0, -5*r = y - 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10946 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*b**4 + 7*b**5 + 20*b**4 + (-20 + 12 + 103)*(-23*b**3 - 7*b**5 + 23*b**3).\nAnswer: -658*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -179895?\nAnswer: 179891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {o: 1, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1075998 - 1075998 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 1. Let o(x) = -x**3 - x**2 + 3. What is o(k) - 3*w(k)?\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-18))\/(8\/(-6)))\/((-657)\/(-657))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*g - 5754 = -85*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -55*m - 1175 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/22 - (-4)\/22. Suppose -4*n + t = -0*t - 48, -n + 12 = l*t. Differentiate -2 - 2 + n*x**4 + 7 with respect to x.\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11.9465 years?\nAnswer: 1.19465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7450*g**4 + 2*g**3 + 13711*g wrt g?\nAnswer: 89400*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3853 > -4051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5426060 is divided by 852?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 20. Let c = l + -4. What is the second smallest value in -0.1, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1. Let f(z) = -3*z - 4. Let x(g) = -f(g) - 6*y(g). Let n(b) = -b + 2. Let i(a) = -2*a + 3. Let w(k) = -2*i(k) + 3*n(k). What is -4*w(s) + x(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 518 and 3108.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/15 - 4\/(-6). Let c = n - -1. Suppose 10 = c*s - 2. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248211 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*p**2 + 0 + 3\/2*p - 1\/6*p**3 - 1\/6*p**4.\nAnswer: -p*(p - 3)*(p + 1)*(p + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m = 0. Sort -1, m, -5.\nAnswer: -5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12)*18\/(-60)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 10379004?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 8:02 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-8)*(-130 - 2). Let f = p + 204. Let y = 46 + -31. What is the highest common divisor of y and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 12:32 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5533651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -1\/6*v**4 + 1\/3*v**3 - 60*v**2 + 0 + v. Give h(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 656671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 384\/810 - 64\/864?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*w**4 - 24*w**2 + 473 wrt w.\nAnswer: 88*w**3 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5, 2.092, -147?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 u, and 1 y when three letters picked without replacement from {u: 1, s: 1, h: 1, y: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-3\/5))\/(x\/(x**(-1\/6)*x)))\/(((x*x**(1\/2))\/x)\/x)**(-1\/5))**(4\/15) assuming x is positive.\nAnswer: x**(16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2*m - 8558, -50 = 2*p + 3*m - 3482. Does 30 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 71, 57, 43, 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3453*s + 133*s - 274*s = 1236*s + 313950 for s.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5*d*d*d\/d**(-13)*d*d**(-17)\/d*d*d*d**(2\/7) assuming d is positive.\nAnswer: d**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2246, 2221, 2196, 2171, 2146, 2121?\nAnswer: 2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**5 + 3*c**3 + c + 1. Let y(o) = -4*o**5 - 3*o**4 + 15*o**3 + 4*o**2 + 5*o + 5. Let v(g) = 10*n(g) - 2*y(g). Determine z, given that v(z) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -173102, -346201, -519300, -692399, -865498, -1038597?\n\"Answer: -173099*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 40. Suppose -a = -o - 3*d - 0*d, 0 = -o - 4*d + 38. Find the second derivative of -o + 2*y + 38 - 4*y**3 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -544 - 102210?\nAnswer: -102754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -10 (c) 0.4 (d) 0.5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15215, -17669, -20113, -22541, -24947, -27325?\n\"Answer: b**3 - b**2 - 2458*b - 12757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**3 + 2*p**3 - 3*p**3)*(-p - 26*p - p) to the form n + k*p + y*p**3 + v*p**2 + d*p**4 and give d.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*f - 81*f - 1 + 32*f**2 + 25*f to the form m*f + j + r*f**2 and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**3 - x**2. Let q be m(-2). Let f(v) = 2*v**2 + 6*v + 6. Let s be f(-6). What is the highest common factor of s and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*h - 36, -4 = h - 2*h. Let j(s) = -14*s - 15. Let z(o) = -15*o - 15. Let w(r) = -5*j(r) + 4*z(r). Is 27 a factor of w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 - -a9c?\nAnswer: a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19\/3 - -83\/15. Sort -2\/7, i, 4 in ascending order.\nAnswer: i, -2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -451310523?\nAnswer: -451310540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4119 or 4124?\nAnswer: 4124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22651, 45296, 67941, 90586, 113231?\nAnswer: 135876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954092 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**2\/5 - 462634*y\/5 - 4420374.\nAnswer: -2*(y + 38505)*(6*y + 287)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33326 (base 7) in base 11?\nAnswer: 6346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20*-515\nAnswer: 10300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000363 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -220623 in increasing order.\nAnswer: -220623, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/(w\/((w**(-1\/6)\/w)\/w)))*(w**(-1\/2)\/w)\/w)**(-8) assuming w is positive.\nAnswer: w**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 - (-2)\/((-4)\/(-2)). Calculate the greatest common divisor of o and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 857 + -1766. Let u = -885 - r. What is the remainder when 88 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17960, 17967, 17986, 18023, 18084, 18175, 18302?\nAnswer: 18471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 335088174 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from {d: 1, t: 4, a: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2. Let r(h) = -2335*h - 182. Calculate r(f(u)).\nAnswer: 7005*u**2 - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*g + 12434, -2*g = 4*z + 2151 - 26987. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 117845 divided by 3367\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20054*t + 20017*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 172*q**3 + 948*q**2 + 190*q - 114. Let f(d) = d**3 + 3*d**2 - 3*d - 3. Let n(v) = 46*f(v) - j(v). Find i such that n(i) = 0.\nAnswer: -6, -1\/3, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alal when four letters picked without replacement from {a: 2, l: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73502806*0.5.\nAnswer: -36751403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000444645 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + 3*f - 475 + 408 - 2*f**2 + 4*f**2 - 2*f**2 in the form j*f**3 + d*f**2 + s*f + c and give c.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1824 and 16644?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6)*-3*6. Let o = -158 - -140. What are the prime factors of o\/27 + 267\/b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 469538.56?\nAnswer: 469538.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (10 + 7) - 13) + -22?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5439?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 1 - 6 + 11*h**3 + 5*h - 17*h**3 + 8*h**3 in the form q*h**2 + g*h + t + j*h**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505690?\nAnswer: 2, 5, 61, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 97 = -4*y + 545, -s + 637 = 4*y. Suppose 0 = -5*w - 45 - 5. Let g = y + w. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -22*y**5\/5 + 73*y**3\/3 + 14*y + 6. What is the second derivative of r(l) wrt l?\nAnswer: -528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/8 - 8)*(-64)\/10. Suppose -79*q + c = -77*q. Solve 5*l = -40 + q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**5\/20 - 11*r**4\/12 - 11*r**3\/6 - 7*r**2\/2 + 5*r. Let a be q(-10). Suppose -a*m - 2*m = -70. Solve m + 2 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10680.987 + 10688. What is c rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*m**5\/5 + 64*m**4\/5 - 628*m**3\/5 + 152*m**2\/5 + 1104*m\/5 + 288\/5 = 0. What is m?\nAnswer: -6, -1, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(84) + sqrt(84))\/sqrt(12).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*h - h + 48, 0 = -2*h + 2*j - 36. What is the common denominator of -31\/4 and ((-24)\/h)\/(32\/(-190))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -6. Let o = -8 + 7.7. Let m = 0 - -1. Sort m, y, o.\nAnswer: y, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.362826 minutes in microseconds?\nAnswer: 21769560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 1 + 1)*(-4 + 0 + 3)*(-4*h + 0*h + 3*h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -18 - 282. Calculate the highest common factor of j and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2715, 13104, 30425, 54690, 85911, 124100, 169269?\nAnswer: 221430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 8:29 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29494123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 5*m**2 - 7*m - 4. Let d be j(-6). What is the second derivative of -11*o**5 + d*o**5 - 2*o + 10*o**5 wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105480*-0.32.\nAnswer: -33753.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -2\/73, -0.4, -0.1, 128?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4242151 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*q - 2*q - 106, -q + 37 = 3*t. Suppose 35*a - 12715 = q*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b = -160*b + 53*b - 350 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*r = -60*r + 17631 - 231. What is the least common multiple of r and 444?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 539, 1265, 2291, 3611, 5219?\nAnswer: 7109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 - 4*w. Calculate z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 0.4 in ascending order.\nAnswer: 0.4, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 125*f**2 + 2*f + 3. Is h(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924774897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2. Let c(n) = 200*n - 1786. Give c(g(v)).\nAnswer: -200*v**2 - 1786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3648, -9104, -14560?\nAnswer: -20016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: (-6 + 0)*(-26)\/(-117) + (-3808)\/(-102)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323255?\nAnswer: 5, 17, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*y**2 + 0 + 5*y - y**2 + 4*y**2 + 2 as x*y**2 + g*y + v and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 10:01 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((30\/(-44))\/(-1))\/(6\/(-24866)). Let w = 2822 + r. Calculate the common denominator of w and -5\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 7) + (66 - 58) + -9 + 4 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 4:40 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i + 2*i + 3*i - i + 3. What are the prime factors of c(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -2. What are the prime factors of 3 - v - (1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j**(3\/16)*j)\/j)\/j*j*j*j*j**(-5\/4)\/j assuming j is positive.\nAnswer: j**(15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 9:28 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + sqrt(1053) + 0 + sqrt(1053))**2 - -5*sqrt(1053)*1*3.\nAnswer: -9*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 32, 5, -3, -21 in descending order.\nAnswer: 32, 6, 5, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -580 - -618. Suppose -b*t + 40*t - 4 = 0. Solve -58*u + 56*u - t = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*z - 22 = 0, -5*y + z + z = -56. Let w = -392 + 401. What is the greatest common divisor of y and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.019 - 0.119. Is 34 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 28 = 3. Suppose 9 = p*n - 16. Solve 5*c + n = -0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*h - 2316 = 47*h + 44*h. Calculate the remainder when h is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 24113460.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 12:31 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (28 - 9) + 54893 + 31.\nAnswer: 7, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4\/2 - 432*p**3 - 3105*p**2 + 2100*p + 66375\/2 = 0.\nAnswer: -5, 3, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 198796912 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r = 3*h - 2136, -20 = 4*r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/25 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28010 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 420 + -419. What is the third biggest value in -21\/4, -1\/5, o?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/19 (b) 297 (c) 2\/9 (d) 5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 6:14 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**2 - 3*h**2 - h**5 + (-6*h**3 + 10*h**3 + 17*h**3)*(3*h**2 - 3*h**2 - h**2) + 0*h**2 + h**5 + 0*h**2.\nAnswer: -21*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/(-230) - (-3)\/((-45)\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/((h**19\/h)\/h))\/h))**(7\/12))**(-2\/5) assuming h is positive.\nAnswer: h**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 993877.62 rounded to the nearest one hundred?\nAnswer: 993900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/5 - 696*a**2\/5 + 1422*a - 3580 = 0.\nAnswer: -358, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85055?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3)*t)**(5\/9)*t**(2\/23)\/(t\/t**(-1\/2)*t))**(1\/7) assuming t is positive.\nAnswer: t**(-2767\/8694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1448.4 - 1670.6. Which is greater: r or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 4*j**2 - 10*j - 1. Let o be y(-7). Is o\/(-2) + (-4)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 319696031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/37072 and 69\/224.\nAnswer: 74144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*r = -2*k + 1837, 3*k - 5565 = 3*r. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 5. Let t(m) = -2. Let l = 43 - 41. Let o(b) = l*y(b) - 5*t(b). Calculate o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, e: 4, c: 1, f: 4}. Give prob of sequence elec.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*l + 2 = 0, b + l - 33 + 35 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 - 43451*s\/2 - 195570.\nAnswer: (s - 43460)*(s + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1844394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9327.03759 + -9327. What is u rounded to three dps?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-8))\/((-2)\/8). Let n be w + -1 + 0\/1. Suppose 2*u = 0, 0 = -n*f - 4*u + 25 - 7. What is the smallest common multiple of f and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 364 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, h: 7}. What is prob of picking 2 d and 2 h?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 185, -106, 5, -5 in increasing order.\nAnswer: -106, -5, 5, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l - 2*l + l**2)*(-l - l + 3*l) + 8*l**3 - 18 + 18 + 4*l**3 + 0*l**3 - 2*l**3)*(-6 + 2*l + 8 + 0*l)*(4 - 5 + 4 + (-2 - 2 + 6)*(1 - 4 + 4)).\nAnswer: 110*l**4 + 110*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence peee when four letters picked without replacement from {p: 5, e: 9}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1584))**2*5.\nAnswer: 126720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {l: 7, q: 9, z: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2973*i = -2930*i + 1081 + 123 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1592109.6 and 0.5?\nAnswer: 1592110.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14677.68 rounded to the nearest 100?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 10 - 3*i**2 + 5 + 90*i + 3 + 3*i**3 + 2*i**2 to u*i**2 + a*i**3 + h + y*i and give y.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 2*l**2 - 11*l - 55. Determine t(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 52 = -84. Let m(g) = -l*g + 4*g + 3*g. Let a(x) = -66*x**2. Determine a(m(z)).\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/6, 0.4, 0, 2\/359?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000429540619 to seven decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/2)\/x**(3\/5))\/(x**(-3\/5)\/x*x**(2\/15)))\/(((x*x*x**(-5))\/(x**(-1\/8)\/x))\/(x**(-2\/7)\/x**(-1\/7))) assuming x is positive.\nAnswer: x**(1763\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 12\/(-8)) + 5\/2. Suppose 3*c - j = -7, 2*c + 9 = -5*j - 7. Let u = 5 + c. Solve -t*h = -h + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38 + (-1 - -1))\/(-1). Let m be 14\/2*3\/3. Suppose -3*k + v = -m. Solve -6*z + z - k = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 782 - 452. Let p = -20792\/63 + g. Suppose 2*c = 4*c - 2. Is p > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2237*i**2 - 1149*i**2 - 9 + 11 to the form j*i + r + q*i**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/(21\/(-28) - 1)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/4)*(w\/w**(-1\/6))\/w)**24)**0)**49 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -5*s - 27, -4*m - 23*s + 28*s + 21 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3*49806 - 5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c**(-4)*c))\/c**4)**(1\/20))**(-9) assuming c is positive.\nAnswer: c**(-9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40535\/28 not equal to 1449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 5\/3, -2\/43, 21, -2, -6.\nAnswer: -6, -2, -0.06, -2\/43, 5\/3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148949966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -15906\nAnswer: -12\/2651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*q + 4302096 + 777144. Is (-3)\/(5\/(q\/24)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 533 and 1850.\nAnswer: 2383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11784655 or 11784653?\nAnswer: 11784655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 2380*b**3 + 1715*b**3 - 7739*b**3 + 2672*b**3.\nAnswer: -972*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-66)\/(-8) + -8)\/(2\/8). Let n = 19 + -8. What is the highest common divisor of m and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -840 and 0.5.\nAnswer: -839.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/2 + 81*f**3\/2 + 1092*f**2 + 12032*f + 46080.\nAnswer: (f + 9)*(f + 16)**2*(f + 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31.6 or -78\/587?\nAnswer: 31.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -34321 divided by 9\nAnswer: -34321\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1*-1)\/(-19). Let h = 79 - 97. Let u = h - -17. Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*((-4)\/2 + (3 - (1 + -4))). Solve 0 = -v*i + 10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q**2 + 3*q**2 + 9*q**2)*(-1 - 3 + 1).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47766, -100050, -152334, -204618, -256902?\nAnswer: -309186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-202)\/(-14)*-1 + 15)\/((-1)\/(-49))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*a*c**3*u + 3*a*c**2*u - 2*a*c*u**2 - 10*a*u - 1962*c**3*u**2 wrt u?\nAnswer: -4*a*c - 3924*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**3*r + 138*q**3*s**2 - 73*q**2*r + 2*q**2*s**2 + q*s wrt q.\nAnswer: 6*r + 828*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -30148?\nAnswer: -30148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 + 5100*z**3 - 2147004*z**2 - 17421600*z - 35007168 = 0. What is z?\nAnswer: -4, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as -229868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1807*a + 1099. Is 18 a factor of n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d - 128205 = -15*d. List the prime factors of d.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5007934l to millilitres.\nAnswer: 500.7934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 386 - 374. Let m(n) = -n**3 + 14*n**2 - 19*n - 38. What is the units digit of m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 427*i**3 + 231*i**4 + 431*i**3 - 858*i**3 + 164*i wrt i.\nAnswer: 2772*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10044 rounded to the nearest ten?\nAnswer: -10040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19967810.\nAnswer: 2, 5, 1996781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13\/312*16)\/(1\/48). What is the highest common factor of 496 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-3) + 176\/33. Solve 0 = 2*x - 5*b + 7, k*x + 0*b = -2*b - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h - 20*h - 32 = -95*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 14*g**2 + 16*g - 13. Let l be j(15). Suppose l*y = 4*r + 146, 5*r + 217 = 3*y + 1. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 23*a. Let m be (190\/30)\/((-14)\/(-6) - 2). Let g(o) = 14*o + m*o - 28*o. Calculate g(r(v)).\nAnswer: 115*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2357500 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h**2 - 50*h**3 - 10272 + 13*h**3 + 10272 + 90*h**2 to the form g*h + r*h**3 + f + k*h**2 and give k.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19\/7, -2.25, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -894220, -3577883, -8050644, -14312497, -22363436, -32203455, -43832548?\nAnswer: -57250709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 4*j + 11)*((-2*j**2 - 8*j**2 + 0*j**2)*(-j + 3*j - j) + 4*j - 4*j + 2*j**3)*(5 + 2 - 4) as p + i*j**2 + s*j + y*j**3 + h*j**4 and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o**2 - 494 + 46*o - 13*o**2 - 46*o as r*o + j + d*o**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydrod. What is prob of sequence yr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + m**4 - m**3)*(-1 - 5 + 1 + (-1 + 0 + 3)*(1 - 3 - 1) + 1 + 1 - 3).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-24))\/((-2)\/(-24)). Are -19 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214*k + 8128*k**5 - 637*k + 204*k + 4 + 212*k wrt k?\nAnswer: 162560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1068, 17, -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72526 is divided by 6033.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 17. Let s be f(20). Let p(w) = -w**4 - w**3. Let l(v) = -2*v**3 + 6*v**2 + 8*v. Let x(y) = s*l(y) - 3*p(y). Let x(b) = 0. Calculate b.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -5. Let z(y) be the third derivative of -1\/10*y**5 + 0 + 0*y + 19*y**2 - 7\/6*y**3 - 1\/120*y**6 - 7\/24*y**4. What is z(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 8:49 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8282 - 82917\/10. What is the common denominator of f and 65\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - -0.56. Let w = 0.09 - -0.01. Let i = -2 + 2.2. Which is the nearest to 0.1? (a) f (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -11. Let a be y + (2 - (7 - (7 + -4))). Calculate the lowest common multiple of ((-528)\/(-154))\/(a\/(-14)) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57159 - -57162. Let l be ((-6)\/(-9))\/((-2)\/(-33)). Calculate the greatest common divisor of f and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5000, -203, -3 in descending order.\nAnswer: 5000, 0, -3, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 + 7) - -16) + 20 + -21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2\/3 (c) -2 (d) 1\/3 (e) -0.2 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(0*d**2 - 2*d**2 + 0*d**2 - d)*(-6 - 14 + 8)*(27*d + 59 - 59).\nAnswer: -1296*d**3 - 648*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**5\/30 - u**2. Let s(l) be the second derivative of l**4\/3 - 6*l. What is s(p(z))?\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**4\/8 - 7*a**3\/6 + a**2. Suppose 0 = -v + 5*r - 10, -5*v + 7 = -2*r - 12. Is 4 a factor of b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 610993.1 litres?\nAnswer: 610993100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(-4 + 10). Which is the second smallest value? (a) 4 (b) -1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -297 - -303. Suppose r - 552 = -4*k, -a*k = 5*r - 5*k - 2836. What is r rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 * -18298\nAnswer: -2067674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -209*o**3\/3 + 2*o**2 + 41*o - 326. What is the second derivative of c(w) wrt w?\nAnswer: -418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (324\/24*((-13)\/4)\/13)\/(-3)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y\/(y\/y**(1\/7)))*y)*y**(-1\/4))\/(y**6*y**(7\/2)))\/((((y*y**(1\/5))\/y)\/y)**(-1\/32))**(-43) assuming y is positive.\nAnswer: y**(-2949\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93438?\nAnswer: 2, 3, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 366 - 362. Suppose -w*c - 5*n = -13561, 3*n - 2756 - 636 = -c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6.5 (b) -18 (c) 1\/6 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m. Let x(u) = -4*u**2 + 5*u**2 + 2 + 4*u - 2. Let f(r) = 4*j(r) - 3*x(r). Let q(z) = 2*z. Give f(q(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -8) + -9 + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67350.\nAnswer: 2, 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 35. Let a(l) = -l**2 + 23. Suppose 4*f + 7 + 0 = -h, -4*h + f = -23. Calculate h*p(x) + 8*a(x).\nAnswer: 2*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w - 3. Let k be m(-4). Let o = 5 + -11. Let h be (o\/(-2))\/((-12)\/20). Sort h, k, 0 in ascending order.\nAnswer: h, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 331 - 336. What is the smallest value in -1, -64\/3, z?\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5014332916.3 - -1.\nAnswer: -5014332915.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25504600, -51009202, -76513804?\n\"Answer: -25504602*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25607 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p - 1430 - 1332 = -844 - 82 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuvvvvpvpttettvvv. What is prob of picking 1 v, 2 p, and 1 u?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -599422.0278 - -599374. Let s = u + 48.1. What is s rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 - -182. Calculate the common denominator of -17\/20 and 1\/4 + m\/(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12182 divided by 11870.\nAnswer: -6091\/5935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3460, 3486, 3506, 3520, 3528, 3530?\nAnswer: 3526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*c**3*t**3 + 102*c**3*t**2 + 3*c**3*t - 4*c**2*t - 2*c*t**3 - 1459 wrt c.\nAnswer: -588*t**3 + 612*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 - 64. Suppose 5*o + g - 4*g = 1895, -g = o - 371. Let p = 376 - o. Solve -5*r = -p*r - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.67, 0.2, -0.09, -4\/3 in descending order.\nAnswer: 4, 0.2, -0.09, -0.67, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2093 or -1283251\/613?\nAnswer: -1283251\/613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 5, t: 2, a: 2, k: 3, o: 2}. What is prob of sequence tok?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8050 by -4025.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b7 - 72c2?\nAnswer: -720a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5360.802 rounded to zero decimal places?\nAnswer: -5361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 180 - 112. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(21\/(-70)))\/(15\/(90\/(-12))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.878 + -0.122. What is the nearest to -0.1 in -3\/7, y, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, p: 5, j: 2, s: 1, k: 2}. What is prob of picking 1 p and 1 v?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 greater than or equal to 1685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/4, 858, 0, 5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91024 - -90539.63. Round z to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 462567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) 1\/7 (c) -3\/19 (d) -5\/4 (e) 1\/128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38079251 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10138, -10073, -10008, -9943?\nAnswer: -9878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 5, -19, -7385\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - a = 2*a + 3, 4*a = -w - 4. Let u be (w - (-36)\/(-8))*(-3)\/18. Is -5 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, -50, -152, -298, -482, -698, -940?\n\"Answer: w**3 - 31*w**2 + 34*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s + 11*s + 55 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 84 - (-22156 + 22015).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1304, -1331, -1384, -1469, -1592, -1759, -1976, -2249?\nAnswer: -2584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 482 + -309. Let k = -1793\/10 + u. What is the common denominator of k and -33\/118?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a meter in centimeters?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49813453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -122*z + 7. Let p(h) = 245*h - 13. Let l(o) = 11*m(o) + 6*p(o). Is l(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 + 5. Let h be s(0). Solve 2*v - 4*v + 4*b = 2, h*v - 3*b = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*p = 35, 5*h = -4*p + p + 29. Suppose -2*g + 1 = m - 4, 0 = m + 4*g - 9. What is the smallest common multiple of m and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttyymtmi. Give prob of picking 1 i and 3 t.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 55 = 47*c - 54*c, -5*c - 33 = 3*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, -3, 27, 0.02?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*n**2 + 2*n**3 + 111*n**2 - n**3 - 82*n**2 + 4*n + 0*n**3 + 1 to m*n + u*n**3 + j + t*n**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31530310 divided by -1659490.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1381 - 1379 = 2*v, -f - v = 26724999. Round f to the nearest 100000.\nAnswer: -26700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(78)*-1*-1 - sqrt(78)) + sqrt(78)))\/(sqrt(150)*-3 - sqrt(144)\/sqrt(6)).\nAnswer: -3*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 332.95599 - -0.04401. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 156*z - 33 = -153*z, -3*t = 5*z + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062249 greater than or equal to 5062303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4629\/15430)\/((-2)\/((-80)\/(-12)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 123239648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18380539897450 less than -3?\nAnswer: -18380539897453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 2:08 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -11 + 348\/21\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*o + 386*o = 483210. What is the highest common divisor of o and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 62*g**2 - 1 - 19*g**2 in the form q*g**2 + s + l*g and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/(-4))\/(-11) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33451\/98 or -340?\nAnswer: -33451\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -1)*(-36)\/(-24). Suppose -o*x = x. Suppose -2*s + 5*s - 18 = x. Solve 1 = -m + s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598825 a multiple of 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1200*k**3 + 428*k**2 + 16461 wrt k?\nAnswer: 3600*k**2 + 856*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -4343 (c) 0 (d) -0.5 (e) 105 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 17. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -60. Let c = 12.1 + j. What is the nearest to c in -0.2, -0.1, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 8 = -6. Solve 3*a = -c + 7, -2*c = a + l - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399438 is divided by 123.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 + 2*l**2 + l**3 - 6*l**2 - 7*l**2 - 9*l**2 - l**4 + 22*l**2 to p*l**2 + x*l + v + a*l**3 + r*l**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.4, -4, 2\/23, 0?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q**(6\/7)*q)*q*q**13)**35 assuming q is positive.\nAnswer: q**530","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1898217078.\nAnswer: 2, 3, 19, 691, 24097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 203\/23 - 99\/11. Which is the second smallest value? (a) -2 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24 + 57*m**4 - 4513*m**2 + 4513*m**2 with respect to m.\nAnswer: 228*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42423 is divided by 47.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - s - 2. Let t be i(-1). Let o be (t\/(-4))\/((-7)\/(-14)) - 1. Solve 2*c + 2 = -o*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 8:09 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**2 + 1. Let f be r(1). Let g be 5\/2 + f\/6. Let v(n) = n**2 + n - 1. Let j(q) = 4*q - q**2 + 2*q**2 - 1 - 3*q - q**3. Calculate g*j(w) - 2*v(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2334001314 (base 5) to base 15\nAnswer: 7129c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2 + 0*m**2 + 0*m - 1\/3*m**3 - 3\/5*m**5 + 0*m**4. What is the third derivative of l(n) wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 3*z**5\/10 + z**4\/4 - z**3\/2 - 4*z. Let t(i) = -i**3 - i**2 + i. What is f(o) + 3*t(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4541433097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*i - 34, 0 = 4*i - 9 - 7. Solve -x*w + 3*w = 5*u + 4, -2*w + 12 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 29*y**3 - 2*y - 1. Let o be a(-1). Let s = 48 + o. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -565 and -0.08.\nAnswer: 45.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12314 - -12313.9983982. What is p rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*y + 348 = 0, y + 11 - 12 = 0. Solve 7*s + 16*s - z = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2 + 5*sqrt(7) + sqrt(7)) - 6*(sqrt(42)\/sqrt(6) + -2)) + 1)**2.\nAnswer: -1260*sqrt(7) + 6741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 3 (b) 489\/5 (c) 670 (d) -2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*w + 199. Let j = -63 + w. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*1*-2*-1. Let v be -5 - (i - (1 + -5)). Let r = -4 - v. Let a(t) = -t**3 + 4*t**2 - 3*t - 4. What is a(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 4631 + 263 = -7*i. Suppose -5*v - 4*o = 216 - 581, 0 = -2*v + o + 146. What is the remainder when i is divided by v?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110101011001101110 (base 2) to base 6.\nAnswer: -112004022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 15 (b) -4\/5 (c) 5\/2 (d) -3 (e) -5\/9 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(220)\/sqrt(5) + sqrt(11) + -2*sqrt(176) - (-5 + sqrt(1100) + 1 - ((sqrt(1100) + 0 + sqrt(1100))*5 - sqrt(1100)))**2).\nAnswer: 3225*sqrt(11) + 352080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/235 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2231, 4554, 6877, 9200?\nAnswer: 11523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 4*l - 7069*l**2 - 6*l + 2*l.\nAnswer: -7069*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 6, 17, 28, 39?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -8)\/(1\/4*-2). Let x be (-10)\/t - 0 - (-11)\/22. Suppose 3*o = o + 4*k + 60, o - 32 = x*k. Calculate the highest common divisor of 234 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 63 = -3*r, 2*a - 2*r + 4*r = -30. Let l be (a\/(-56)*-6)\/(96\/(-336)). Do l and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(16\/(-405))*-4. Suppose 2*k = -3*k + f. What is the remainder when k is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 11*p - 8*p - 3*k, -6 = 2*k. Let x be (-107)\/(-3) + 5\/p. What is the common denominator of 7\/9 and 4\/(-6) - 2\/x*83?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -2 + 4 + 1. Which is the third biggest value? (a) -0.5 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1038.18563 and -385830.\nAnswer: -386868.18563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 at least 473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6856342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2 + 305*y + 1650 = 0.\nAnswer: -55, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -9. Let d be (20 - 23)*(2\/3)\/(-1). Let p be 1*2*(d\/10 + 0). Put p, 4, v in descending order.\nAnswer: 4, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 15*a**2 + 33*a + 15. Calculate m(-17).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176185192, 176185191, 176185190, 176185189, 176185188?\nAnswer: 176185187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 17, 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 167*o + 1503. Let k be w(-9). Solve -5 = -3*g + 2*c, -g - 4 = -k*c + 5*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l)**(3\/5)*(l\/l**6)\/l*l**(-5\/2) assuming l is positive.\nAnswer: l**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/((-1008)\/20))\/(3 - (-1)\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + 216 + -103 + 42 + (-1 - -1) + 0.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/3))**(-39)\/(b\/(b**(-1)\/b))**(1\/59))**(-29) assuming b is positive.\nAnswer: b**(111302\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67 in 0.04, 52, -5?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599960734.\nAnswer: 2, 47, 59, 108179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 321 + -923\/3. Suppose 3*h + 13 = g, 3*h + 27 + 12 = 3*g. Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**7\/2520 - 3*x**4\/2 + 21*x. Let s(r) be the third derivative of k(r). Let m(p) = -2*p**2. Calculate m(s(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76\/7 + 850\/77. Which is the second biggest value? (a) -1 (b) -3\/4 (c) s (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 3*a = w - 6, 9 = 4*w + 5*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, o: 3, p: 2, y: 1}. What is prob of sequence pp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**4\/3 + a**3\/6 + a. Let g(v) = 3*v**2 - 1. Let i be g(1). Suppose i*c - 1 = -3. Calculate q(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13195 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**4 + 8*p**4 + 6*p**4 - 2*p - 25*p**4 - 2 - 109*p**2 + 4*p**4 to the form b*p + a*p**4 + g*p**2 + q*p**3 + j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(((-18)\/4)\/3). Calculate the common denominator of (136\/54)\/(-4)*-6 and (-225)\/77 + j\/56.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010001110010110 (base 2) in base 10?\nAnswer: -74646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 8:05 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*s = -16, -49*s = 5*g - 52*s - 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/21)\/((-764)\/(-8022))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(3\/9 - (-2850)\/(-18)). Let v = 384 + u. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 255830 + -116630. Let c = -22 - -16. Let b be d*5\/c*-50. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/6 - 0)*3. Suppose f = -l*f + 30. Suppose 7*a - f = 4*a. Solve -2*k = -3*k - 3*y, y = a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446 = 5*c + 71. Let y(k) = k**3 - 8*k**2 + 15*k - 13. Let m be y(6). Suppose -m*u = -2*h - c, 32 = 3*u + h - 24. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -3\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -2. Let c(q) = -10*q - 8 + 244*q**2 + 241*q**2 - 495*q**2 - q**3. Let y be c(p). Solve -6 = d + 5*k + y, 5*k - 3 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 13 = -2*a, 5*l - 4*a + 5 = a. Sort 7, 1, l in decreasing order.\nAnswer: 7, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 - -126.4. Let v = 1 + -1. Let d = 1\/6 - v. What is the biggest value in s, 0, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8057903 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294 - 154. Suppose -840 = g*d - 147*d. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2*t**2 + 5 + (-t**2 + 0*t**2 - t**2)*(-208 - 75 + 136))*(0*t + 2*t + 7*t) to a + f*t**2 + l*t + x*t**3 and give x.\nAnswer: 2664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 257571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402152 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700756?\nAnswer: 2, 7, 29, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (6\/(-3) - (-8 - -5)). Let o = -1 - -1.5. Let f = 403 + -2009\/5. Which is the second biggest value? (a) f (b) 3\/5 (c) o (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(4\/3)*a*a**(1\/12)*((a\/(a\/((a*a*a**(-3)*a)\/a)))\/a)**36 assuming a is positive.\nAnswer: a**(-835\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -350.19 to the nearest integer.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -b - 7*x + 4*x, 4*x + 25 = -5*b. Sort 3, b, -4, -5 in decreasing order.\nAnswer: 3, b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*g + 57174 = 6158 + 9364 for g.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 68.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141.7685 months to years.\nAnswer: 95.147375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.51 + -30.51. Let j = 119105.9865 + -119076. Let s = j + l. Round s to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -901438 plus 3?\nAnswer: -901435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 269 and 3119593?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y + 10*y**2 + 11*y)*(2*y + 1 - 1) - 2*y**3 + 5 + 3*y**3 - 2*y**2 - 3.\nAnswer: 21*y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2*c - 3*c**3 + 16*c - 1 - 12*c + 4*c.\nAnswer: -3*c**3 + 10*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 922 divide 3656652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmmnaqqnwm. What is prob of picking 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 29. Let j = -0.1 - -0.1. Let w = 1 + j. Put -5, v, w in descending order.\nAnswer: w, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 + 8*n**2 - 13*n + 5. Let r(y) = -y**3 - 4*y**2 + 6*y - 2. Let x(v) = 6*p(v) + 13*r(v). Let a(d) = 4*d. Let c be a(-1). Give x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g - 108 = -3*d, -g - 3 = 0. Suppose 6*x - 47 - 145 = 0. Let p(a) = d + 10*a - x. Let f(q) = q**2. What is p(f(k))?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*w + 12 + 23, -40 = 2*r - 2*w. Let x = r - -28. Let u = x + -9. Solve 5*t - 1 - u = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -1\/14*w**7 + 0*w**6 - 3*w + 0*w**2 + 0 + 1\/3*w**3 + 0*w**5 + 0*w**4. Find the second derivative of v(c) wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5391977 times -0.4\nAnswer: 2156790.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 1, a: 2, c: 5, b: 6, g: 3}. Give prob of picking 1 l and 1 b.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 13 = -17. Let z(g) = g + 1 + 1 + 16*g - b. What is z(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**2. Let x(f) = 8*f**2 + 5. Let v(g) = 9*g**2 + 6. Let q = -16 + 10. Let j(c) = q*x(c) + 5*v(c). What is j(s(t))?\nAnswer: -108*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p + 8. Let b(u) = -5*u - 9. Let m(l) = 11*l + 17. Let s(v) = 7*b(v) + 4*m(v). Let z(t) = -19*t - 521. Let d be z(-27). Calculate d*s(r) + 5*f(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -17. Is v < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-5) + (-63)\/(-15). Let p(a) be the third derivative of a**5\/40 - 5*a**4\/24 - a**3\/6 + 2*a**2. Let o(x) be the first derivative of p(x). Give o(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 29*b**2 + 42*b - 103. Let z be c(30). Let v = -252 + z. Let o be -1*3*15\/18. What is the nearest to v in -5, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*b - b + 741, b - 204 = 5*c. Let i = 224 - b. Calculate the remainder when 179 is divided by i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345 (base 11) to base 3\nAnswer: 120021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**2 - 1\/3*l**4 + 2\/3*l**3 + 0 + 0*l.\nAnswer: -l**3*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/6, 3\/2, 2, -4398, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2537 = -6*j + 6539. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3 + 112144*p**2 + 785905140*p - 1572258888 = 0. Calculate p.\nAnswer: -14019, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2686551.\nAnswer: 3, 7, 127931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/4525 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 2 + 3\/2*z**2 + 5*z. Let n(h) = -4*h - 6. Let r(d) = -2*d**3 + d**2 + 23*d - 24. Let o be r(1). Determine o*n(x) - 3*g(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 34*s - 41714. Give l(88).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4997 and -354.\nAnswer: 176.8938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.78 - 5.95. Let y = 67 + -66.83. Let w = a + y. Put w, -0.3, 1\/6 in increasing order.\nAnswer: -0.3, 1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9 + 2 - f**2 + 18*f - 5*f. What is the units digit of v(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426380.2 centuries to years.\nAnswer: 42638020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44379.6 months to decades.\nAnswer: 369.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*b + 150*b + 80*b)*(-5 + 6 - 5).\nAnswer: -1428*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 2:38 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 39, 68, 117, 192, 299?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 + 0 + 0 + (-b**2 + 4*b**2 - b**2)*(-3*b + 2*b + 2*b) - 2*b + 55618*b**3 - 26808*b**3 - 27494*b**3.\nAnswer: 1319*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-396)*-6)\/(1\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + y = -y + 2, -2*y = i - 2. Suppose i*u = -2*u + 21514938. Let f = -4357469 + u. What is f rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 + n**2 + 18*n + 46. Let x be v(-7). Let m = x + -5894\/9. Is m >= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (5 - -1) + -4. Solve -g = -1 + n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -814 (base 10) to base 14\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 45518?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.3 (c) 1\/9 (d) 14\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3665257*x - 3665073*x = 552 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263159 - -16659. What is h rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 16 = -4*y, 0*y = 5*n - 2*y - 22. Let s be (0 - 3)*1 + 7 + -1. Suppose b + 5*z = 3*b - 28, 3*z + 33 = s*b. Solve n*h - b = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-8 + 15 + -2)) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 - 103. Sort p, -5, -4.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, k: 2, i: 2, b: 2}. What is prob of picking 1 k and 1 m?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 3. Let d(i) be the first derivative of 3*i**2\/2 - 5*i - 2. Let c(y) = -3*d(y) + 5*r(y). Let t(k) = 3*k. Give t(c(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 676.1385 decades?\nAnswer: 6761.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 12:33 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 6:45 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 20 = -10*u + 44 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 + 0)*(3 + 1 - 2) + 2 + 0 - 3 - 5 + 6 - 3)*(21*k**2 - 17*k**2 + 9*k**2).\nAnswer: 65*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*h = -83*h + 528. Let q = h - -154. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -25*l**2 + 63*l**2 - 22*l**2 - 22*l**2 - 5*l. Let k(m) = m**2 + m. Calculate -4*k(y) - u(y).\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248 and 36.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4511225, -4511237, -4511249, -4511261, -4511273?\nAnswer: -4511285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2370 divided by -15.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w + 34. Let c be n(4). Solve -h = -c*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 21. Let o(a) = 20*a - 58. Determine o(p) + 11*v(p).\nAnswer: 20*p + 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*(-3 + (sqrt(1300)*1 - sqrt(1300)) + 5) + 3))**2*-2.\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 473565 and 1310655?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 34\/((-540)\/648 - (51\/(-18) - 0))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/125 - 24\/125. Sort 27, 5, m in descending order.\nAnswer: 27, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -21*i**2 - 38*i + 4. Let v be q(-2). Is v\/((-16)\/4772) + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k - 38. What is the remainder when 208 is divided by c(-12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-2))\/(-1))\/((33957\/(-588))\/(-231))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**2*o**3 + 177*h**2*o**2 - 1215*h*o**3 + h*o + 4*o**2 wrt o?\nAnswer: -24*h**2 - 7290*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -288 + 1259. Does 73 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*o - 2*r - 13, o = -r + 16. Solve -5*g - 29 = d, 4*d + o = -2*g + 3*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + 8108?\nAnswer: 80b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -51. Suppose 4*v - v - 15 = 0, 5*r = -3*v + 15. Suppose r = -2*s - z + 47. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 42 = 2*y + 13*n, 3*y - n = 35. Calculate the remainder when y is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -66. What is the closest to 2\/3 in 2, v, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99*d**2 + 41 + 252 - 425*d**2 + 75*d**2 with respect to d.\nAnswer: -898*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 63*j - 608. Let f be q(16). Calculate the highest common divisor of f and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 0.1337?\nAnswer: -0.010696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -586*t**5 - 577*t**3 + 3437815*t.\nAnswer: -11720*t**3 - 3462*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*b = 295*b - 280 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 150736622, 150736621, 150736620, 150736619?\n\"Answer: -i + 150736623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -2194?\nAnswer: -2194.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 298101158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/10 - (-647)\/(-30) and 1*((-104)\/(-36) + -8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00419853 to five dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -7*d + 10, -16181 = -q + 3*d - 16189 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (0 + -3 - -2). Solve -2*o - 15 = -3*d, 2*d - d - q = -4*o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10819 by 25.\nAnswer: 10819\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-773 - -777) + (3 - 2 - 66)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 9 - 123 - 27 as x + h*k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 7*z + 1. Let a be d(-7). What is the tens digit of 18\/(-10)*(-24 - a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 6:27 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = v + 2 - 12, -36 = -5*v + 4*b. Calculate the highest common factor of v and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 142\/(-2) - (-4)\/2. Let u = -24 - d. Calculate the remainder when u is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -244661332 + -142?\nAnswer: -244661504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 x when four letters picked without replacement from wcxwxxscs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 12.09?\nAnswer: 0.4836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87654989 = 4*z + 25145011. Round z to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(44\/204) - -6. Solve -26*q = -7*q + y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.5 (b) 0.3 (c) 95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 1\/30*c**5 - 29\/120*c**6 + 0 + 0*c**4 - 13*c**2 + 0*c + 0*c**3. What is the third derivative of w(m) wrt m?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*x = -189, 0 = 2*x - 11 + 3. Suppose 0 = 2*y - c + 67. List the prime factors of y.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186 + 160. Sort j, 0.2, 5, -1.\nAnswer: j, -1, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -256?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 37 + 0*y**3 + 0*y**4 - 5\/12*y**5 - 1\/84*y**7 + 0*y - y**2 - 7\/48*y**6. Suppose n(c) = 0. Calculate c.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/6)\/(1\/(-6)). Let a(o) = -2*o + 0 + b*o**3 + 0*o + 1. What is the units digit of a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + 28\/(-6). Let v = -48 - -51. Let o = 6 - 5. Put v, o, x in descending order.\nAnswer: v, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 + 0.6. Which is the smallest value? (a) v (b) -0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((5\/(-10))\/(5\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 5*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -56030.96 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 37112 = 37116, -4*a - 558 = 82*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -165, -511, -1183, -2289, -3937?\n\"Answer: -18*a**3 - a**2 + a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*t - 7 = -51, 2*o = 2*t - 42. What is the common denominator of 1\/(-4) - 55\/o and 79\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82822234.\nAnswer: 2, 11, 3764647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 42\/5 of a millisecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 4008 - 248 = 0. Which is smaller: 267 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35704\/2*(-121)\/(-484)?\nAnswer: 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 1. Let y(d) = 6*d + 2. Calculate 10*n(l) - 3*y(l).\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - u - 12 = 0, 0*d - 9 = -3*d + 5*u. Suppose -18 + 6 = d*i. Sort i, -3, 3 in descending order.\nAnswer: 3, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2195 = -88*b + 621. Calculate the remainder when 179 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -60\/817?\nAnswer: -60\/817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*v**2 + 18*v + 23*v - 62*v + 21*v.\nAnswer: -204*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-560)\/(-136) - -6*((-16)\/(-3))\/(-8). Sort 4\/3, r, 1, -442, -0.2.\nAnswer: -442, -0.2, r, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 28*c**3 + 18*c - 5. Let n(k) = -28*k**3 - 19*k + 6. Let y(h) = 5*n(h) + 6*q(h). Find the second derivative of y(f) wrt f.\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 8)*(134 - 5*f**2 + f**3 + 4*f**4 - 134)*(-5 + 19 - 1) to the form b + m*f + u*f**4 + w*f**2 + g*f**3 and give w.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1242094.8 to the nearest 10000.\nAnswer: 1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9612*n = 9704*n - 19479*n + 1793 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/30 - 41*l**3\/6 + 491*l**2 - 2*l - 2. Let o(b) = b**2. Calculate r(o(i)).\nAnswer: -2*i**4 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 34862*s\/5 - 865300.\nAnswer: -2*(s - 17306)*(s - 125)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + 8*a - 11. Let l(v) = -2*v**2. Let b be l(-1). Let p(s) = -s**2 - 1. Let g(n) = b*p(n) - r(n). Let f be g(-9). Which is greater: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25628 and 68?\nAnswer: 435676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22727626459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (19 + (-1670)\/90)\/((-2)\/(-90)). Let r = 2.5 + -3. Which is the nearest to q? (a) 2\/3 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 38*u + 11. Let h be p(3). Let o = h - 111. Solve -2 = 3*z - o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26484.7293ns in days?\nAnswer: 0.00000000030653621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, w: 4}. What is prob of picking 4 d?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.536*-3.1\nAnswer: 1.6616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/5 of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -160724 + 4130157?\nAnswer: 3969433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 3*s)*(0*s**4 + 2*s**4 - 4*s**4) + s**5 - 5*s**5 + 2*s**5 + 6*s**5 - s**5 - s**5 + (3*s**2 - s**2 - s**2)*(-2*s**3 - s**3 + s**3).\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:09 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/((j\/(j**(2\/75)*j))\/j)))**(-4\/15))**(-22))**(-4\/7) assuming j is positive.\nAnswer: j**(3872\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g - 3*f + 6 = 0, -4*f = -g + 2. Solve g*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 674339.\nAnswer: 337169.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 9a1a?\nAnswer: -9a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 14. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 748. Let b = 633 - h. List the prime factors of b.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5*z - 45 = -38, m = 5*z + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000483953909 rounded to 6 decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 18*l**2 + 40*l - 63. Let d be u(-15). Solve 0 = 5*n - 10, 0 = z + 5*n - d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - 0.172. Let w = 0.352 + d. What is the second smallest value in -1, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(45) + 1 - (sqrt(30)\/sqrt(6) + 3))**2.\nAnswer: -24 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -79.\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 16*p**2 + 1 + 13*p**2 to the form u + m*p**2 + l*p and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.2 (b) -4\/13851 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210822 by -1.\nAnswer: 210822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -9. Suppose 3*i - 10 = -b. Solve -15 = -i*m, -4*h + 3*m - 6 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.4, -0.8, 2\/7, 0.31, 3\/2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 < -167\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/8 + 1 + -2. Let m = -2\/49 + -43\/147. Let s = 0.06 + -0.56. Which is the second biggest value? (a) m (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -884.3841 + 2.07.\nAnswer: -882.3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, l: 1, d: 1, a: 1, b: 1, t: 1}. Give prob of sequence lbl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 28 = -2*j, -10 = -j - j. Suppose -3*r - 2*p = -23, r = 6*r - 4*p - w. Find the second derivative of m + 4*m**5 + 6*m**5 - 5*m**r wrt m.\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from yycyyc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 1:27 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -0.4 (c) -0.2 (d) 1\/27 (e) 32 (f) 1094 (g) -0.06\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s**3 + s**2 - 2*s + 1. Suppose -4*c = 4*o, 2*c = o - 2 - 1. Determine x(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2, 0.1, -7, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2. Let h = -4 - -1. Let u(w) = w**2 - w. Let g(j) = h*u(j) - d(j). Find the second derivative of g(p) wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.099825.\nAnswer: 0.0499125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2616*v - 21*v = 561*v - 85*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1511 - -62?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 182*i*x**3 + 3*x**3 + 13*x wrt i.\nAnswer: 182*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {d: 1, u: 1, e: 1, n: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-70) - 12\/(-70).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 9*f. Suppose f = y - 5*q - 377, -3*y + 1169 = 4*q - 0*q. Suppose -y = -c + 67. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/12 + 5*n**3\/6 + 355*n**2\/2 + 16*n. Is z(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0554 in 0.3, -0.7, 3, 1\/12, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82630, 82680, 82758, 82858, 82974, 83100?\nAnswer: 83230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 880 - 877. Let b(d) be the first derivative of 0*d + 4\/3*d**n + 6 + 3\/2*d**2. Find the second derivative of b(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 14 - (7 - 1)) + 13 - (29 + 1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.030377 months to decades.\nAnswer: 0.183586475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**5*x**2 - 820*u**2*x**3 + 3*u*x**3 + 9*u*x**2 - 6*x**3 wrt u.\nAnswer: -20*u**3*x**2 - 1640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (45\/60)\/(18\/(-4)). Let j = -4.8 + 5. What is the closest to -2\/9 in k, 1\/10, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/15)\/j*j)**(2\/21)\/(j**(-9\/5)*j*j**(-2\/37)) assuming j is positive.\nAnswer: j**(9806\/11655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-3)\/2)*-12. Let v(s) = -90*s + 4 + 39*s + 2. Let a be v(r). What is a rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 1360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237477073?\nAnswer: 1571, 151163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -168759*i - 2025114. Determine a(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.528 - -4.2. Let c = -0.24 - y. What is c rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3. Let f(b) = -3*b**3. Calculate 2*d(l) + 3*f(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -311.\nAnswer: -6.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(4 - (-5)\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15905098*m*q**3 + 12324027*q**3 wrt m?\nAnswer: -15905098*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1487 + 0.0487. Put m, -0.4, 13 in increasing order.\nAnswer: -0.4, m, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - m + 1. Let n be f(1). Let z = 1 + n. Let v(c) = -c + 2. Let w be v(0). What is the highest common factor of z and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 636.8169us?\nAnswer: 0.6368169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-33)*y**(-15\/7)*y*y*(y*y\/y**29*y)\/(y*(((y\/(y\/(y\/y**40)))\/y)\/y)\/y))**(-1\/30) assuming y is positive.\nAnswer: y**(127\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979680148 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5584*i = -348*i - 406980 + 1134784 for i.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 12 - 3. Let d be q\/((-1)\/2*3). Let t be 3 + -2 - (d - 0). Solve t*l + 7 = -2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20276096 is divided by 2687.\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*i + 2*f, 0*i - 15 = -5*i - 2*f. Suppose i*k - k - 20 = 0. Solve m - 2*d = -m - 6, -k*m - d + 3 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -0*f. Let k be 3 + f - (1 + 1). Let r be 1 - (-15)\/(k - 1). What is the greatest common divisor of r and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*x - 568*x**2 + 152*x.\nAnswer: -568*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.3 - -0.5?\nAnswer: -169.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/2)*v)\/(v\/(v**9*v*v)))\/(v*v*v**(1\/4)*v*v)**24 assuming v is positive.\nAnswer: v**(-179\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8*d - 17. Let w(k) = -4*k - 4. Let i(l) = 5*j(l) - 9*w(l). Calculate i(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwuw when four letters picked without replacement from utwuw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f + 18. Let h be w(6). Suppose 36*a = 33*a + h. Suppose 15*x - a*x = 204. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.86 + 18. Let q = s + 41.86. Let a = q + -41.9942. What is a rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6183*c**2 + 23502*c**2 + 1839*c**2.\nAnswer: 31524*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(1 + sqrt(2299)) + -1 + sqrt(2299) + -3 + -1*(sqrt(2299) - (sqrt(2299) + -2*sqrt(2299))) + -4*(sqrt(2299) + sqrt(2299)*2)*-3*-3*-6)**2.\nAnswer: -85140*sqrt(19) + 956441511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8534 divided by 3.\nAnswer: 8534\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 < -0.84536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/18 + (-6)\/(-27))*0. Solve a = 5*k + 3 - 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2\/4 + 123*j\/4 + 25\/2.\nAnswer: -(j - 25)*(5*j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.87 - -3.37. Let k = 1 - 3. What is the nearest to k in m, 2\/3, -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**3\/6 - 11*q + 134. Let j(y) = -2832*y**2 + 1. What is j(m(i))?\nAnswer: -2832*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 2*f + 3. Let u be m(3). Let s = u - -36. Solve 0 = s*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {e: 3, j: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: What comes next: -5469, -9286, -13113, -16956, -20821, -24714, -28641, -32608?\nAnswer: -36621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjc when four letters picked without replacement from jcjncjj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23832 by -7944.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bc2 (base 13) in base 9?\nAnswer: 8713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**8\/112 - 4*d**7\/35 + 3*d**6\/20 + 2*d**5\/5 - 7*d**4\/8 - 26*d**2 + d. Factor f(q).\nAnswer: 3*q*(q - 7)*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 13 - 2 = 2*s, n + 5*s = -13. Which is the second smallest value? (a) -1 (b) -0.1 (c) n (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 293 + -351.7. Let d = -7.7 - q. Let b = 50.9885 - d. What is b rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -215, 2\/3, -2\/5, 23.16, 0 in decreasing order.\nAnswer: 23.16, 2\/3, 0, -2\/5, -4, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**3 - 2*l + 4. What is v(2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2266823*f**2 - 32952*f + 4119. Let v(i) = -2751*i**2 + 40*i - 5. Determine 5*l(t) + 4119*v(t).\nAnswer: 2746*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*sqrt(1700)*-2 - (1 + sqrt(1700)*3))**2.\nAnswer: -900*sqrt(17) + 688505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 4. Let h(o) = -3*o - 4. Let k(r) = -4*b(r) - 5*h(r). Let c be k(4). Let a be 2 + 0\/3 + c. Put 3, a, 5 in ascending order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lklkblcckcbblllkb?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 297646905 or 297646906?\nAnswer: 297646905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-1 + 8\/2). Let j(h) = -2*h**2 - 19*h - 45. Let c be j(-6). Sort c, d, 2, 0.\nAnswer: c, d, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(1*sqrt(112) + 1))**2 - (5 + (sqrt(2268) + 2 - sqrt(28)) + 1).\nAnswer: 184*sqrt(7) + 2822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25750?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/3 + 290391892*d**3\/3 + 4684858353253104*d**2 + 75580268561366029518564*d - 75580273246224479568966.\nAnswer: 2*(d - 1)*(d + 48398649)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 6. Let f be 3 + (-1 - -1)\/(-1 - 0). Solve 5 = -f*m - z*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 98\/5, -13425, 3\/7 in decreasing order.\nAnswer: 98\/5, 3\/7, -0.4, -13425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 2450534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 97.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1445 divided by 10\nAnswer: -289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1135, -0.33, 4, -2\/9, 7\/10.\nAnswer: -1135, -0.33, -2\/9, 7\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, 3\/7, -2\/5, 0.99 in decreasing order.\nAnswer: 0.99, 3\/7, 0.2, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1641 - 1640. What is the nearest to o in -0.5, -2\/13, -15, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - 1 - (-5 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9893.209209 minus -0.1?\nAnswer: -9893.109209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*j = 43*j - 30 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {c: 1, w: 3, s: 2, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*t - 16*t. Suppose 4*c + 2535 = 3*r + 2*r, 2*r + t*c = 996. What are the prime factors of r?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/556 and 3\/10.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -7096035.\nAnswer: -2838414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-19\/2)*(v**0*v)**(2\/33) assuming v is positive.\nAnswer: v**(2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 10*d**2 + d - 8. Let l be r(6). Let c = -95 - l. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 1 + 2 + n**2 - 2 - 2 - n**3. Let m(q) = -5*q**3 + q**2 + 5*q - 3. Give 3*i(d) - m(d).\nAnswer: 2*d**3 + 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lltnieineinlnnq. Give prob of picking 1 t, 1 i, 1 n, and 1 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3207 - -182?\nAnswer: -3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 41 = 0, 3*y = -3*m - 6755196 + 6755334 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4222 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32\/9 or -6\/174937?\nAnswer: -6\/174937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-13 - (17 - 7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5406402709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1534 - -1532. Which is the second smallest value? (a) 1\/5 (b) -7 (c) -4\/23 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + 35*g**2 - 116*g - 44. What is s(13)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -231, -630, -1221, -2004, -2979?\nAnswer: -4146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, c: 5, a: 4}. What is prob of picking 1 a and 2 c?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 11:54 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/3 - 7\/12. Let v(c) = c**3 - 2*c**2 + 2*c - 3. Let s be v(2). Suppose 0 = -g - s. Are h and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1102748954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -141.\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 10, 19 in decreasing order.\nAnswer: 19, 10, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57448 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3279 is divided by 100.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y + 11 - y + 7 - 13. Let g be v(17). Is g < 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 14, q: 4}. What is prob of sequence qrq?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**7\/840 + w**6\/120 - w**5\/60 - w**3\/3 + 11*w. Let i(m) be the second derivative of g(m). Factor i(t).\nAnswer: -t*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*t + 3374 - 1299 + 2580 = 0 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -778470 - -2537268. Suppose -h - u = 4691202. Round h to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*j*l**2 - 2*j*l + 2*j + 165554*l**2 - 27*l + 64209 wrt l.\nAnswer: -162*j + 331108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqnn when four letters picked without replacement from {y: 2, n: 2, q: 9}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-591)\/1182)\/(4\/192)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1418118 and 192036?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6 = -4*p, -p = 4*w - 2*w - 15. Let t = -6 + w. Solve 5*d = -0*s - 2*s - 13, -d + s + t = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*sqrt(14)\/sqrt(2) + -3).\nAnswer: 18 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1088) - (-1 + sqrt(1088))) + sqrt(1088))**2 - (sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 2*sqrt(1088)*6)) + sqrt(1088)))*-3.\nAnswer: -3276 - 336*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 64*l - 177. Let g be k(18). Let c = -24 - -40. Which is greater: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -6 + 7\/2*w**2 - 5*w. Let l(p) = -3*p + 2. Give -15*l(b) - 6*z(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -776, -1165, -1554, -1943?\nAnswer: -2332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 4*m**2 + 4*m**2)*(m**2 + 0*m**2 - 3*m**2) + 9*m + m**4 - 9*m + 0*m**4 + 4*m**4 - 6*m**4 - 3*m**4 + 101 - 101 + m**4 - 2*m - 2*m + 7*m.\nAnswer: -7*m**4 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/28*154\/4. Let t(l) = -2*l - 25. Determine t(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4416*-109.\nAnswer: 481344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 = 17*s - 283 + 395 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 75805*u.\nAnswer: 5*u*(u + 15161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**2 + 2*u**2 - 5*u**2)*(-321 - 6 + 2*u + 113) as m*u**3 + v*u + i*u**2 + a and give i.\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**2 + 163*a - 7*a**2 - 31*a)*(4*a**3 - 8*a**3 + 3*a**3).\nAnswer: -2*a**5 - 132*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1008 - 0.47076236603\nAnswer: -0.36996236603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*2*sqrt(91) - (6*-1*sqrt(91) - sqrt(91))))\/((sqrt(252)*1)\/(sqrt(16)\/sqrt(4)*-1)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351032 = 633*m - 655*m. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10*44\/33.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 587, -5, -88, -0.08 in decreasing order.\nAnswer: 587, 4, -0.08, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.42 - -0.12. Let t = -0.2 + -0.2. What is the closest to -1 in t, k, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*(-4)\/21)\/(12\/(-42)). Let k be (3 - 4)*(-10)\/g. Suppose -k*d + 290 + 500 = 0. Does 33 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + m + 3. Let v be q(3). Let y = v + 24. Suppose -y = -5*u - 2*f + 23, 4*u + 3*f = 21. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461608 is divided by 2052?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6135340.4 rounded to the nearest one thousand?\nAnswer: -6135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 337 + -236. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 32*p = -12. Suppose -20 = 2*m - 0*m - 5*y, -p*y + 8 = -2*m. Which is the fourth biggest value? (a) 1.4 (b) 0.4 (c) m (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/1319983 and -87\/754276.\nAnswer: 5279932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903 - 477 = -115*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 282*x - 285*x, -j + x + 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/487 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4866 divided by 5.\nAnswer: -4866\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25604.23mg in tonnes?\nAnswer: 0.00002560423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/152 and 35\/12475248.\nAnswer: 12475248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410 + -440323?\nAnswer: -434413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138620\/(-1912)*(-4)\/10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 3 (c) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101010010010111 (base 2) to base 7.\nAnswer: -512126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7838*r + 63513. Determine t(8).\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 - -88.8. Let f = o + -8.80000059. What is f rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.348 + -0.252. Let p = o + 15.9. Which is the nearest to 0.2? (a) p (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 71*b**3 + 5*b**2 - 11*b - 1. Is o(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 2*s**2 - 6431*s + 120939. Determine x(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m. Let n(x) = -8*x**2 + 6. Let t(r) = 7*r**2 - 5. Let f(u) = 5*n(u) + 6*t(u). Give f(a(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25681 - -0.0869545\nAnswer: -25680.9130455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 186*h**2 - 199*h + 1097. Determine y(94).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000429 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 24 = -3*f, 0 = -3*y + 306*f - 303*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -0.069, -3\/86 in decreasing order.\nAnswer: 1, 0.4, -3\/86, -0.069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 a, and 1 d when three letters picked without replacement from ggldaolooo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -727, -1453, -2179?\n\"Answer: -726*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-6 - 1) + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32786 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from ujsjuwkuuukukkjwwk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132030 and 1660995.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -3, 1468, -4, 2\/199?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71203 - -1?\nAnswer: -71202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -625 - -630. What is the fourth biggest value in t, 0, 3\/4, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - 13*h - 21 = 4*h - c, 18 = -h + 2*c for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 7*b - 10. Sort -3, b, 14 in decreasing order.\nAnswer: 14, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 731504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 672 = -75*i, 5*i + 265362*a - 265365*a + 36 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -607\/51 + 208\/17. Let b = -2 - -5. Factor -1\/3 - 1\/3*f**b + v*f + 1\/3*f**2.\nAnswer: -(f - 1)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 77 = 20. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38, -71, -104, -137?\n\"Answer: -33*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.1 + 20.9. Let s = 18 - d. Let f = 1.799953 + s. What is f rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + c**2 - 1. Suppose 3*h = -h + 24. Let b(m) = -h + 0 - 12*m**3 - 5 + 11*m**2. Give -2*b(z) + 22*w(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2. Suppose 3*i + 5 = 2*a + 18, -19 = 3*i + 2*a. Let n(v) = 16*v**2. Determine i*n(f) - 6*j(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 589919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3262535.\nAnswer: -4\/3262535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35954916593459\/330 - 108954066698. Let v = g - 226009. Find the common denominator of v and 107\/14.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 125988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 897*f - 18. Let l(i) = -142622*i + 2871. Determine 2*l(d) + 319*w(d).\nAnswer: 899*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 110*o**2 + 4*o - 3. Is t(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**(-3\/5))**(5\/9)\/(o**3*o*(o\/((o\/(o*(o*(o**1\/o)\/o)\/o))\/o))\/o*o*o*(o*o*o*((o*o**(-1\/3))\/o*o)\/o)**(1\/5)) assuming o is positive.\nAnswer: o**(-232\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**2 + v + 1. Let j(u) = 15*u**2 - 2*u - 1. Let r(o) = 6*j(o) + 13*q(o). Calculate r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1 + (-6)\/(-9)). Suppose 0 = d + 2*k - 13, -5*d + 32 = -d + r*k. Suppose -21 = -d*o + 34. What is the highest common divisor of 88 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Suppose b = 2*y + 2*z - 130, 0 = -4*z + z + 9. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20918441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (19 + -11 + 23 - 11) + (-5 - 4) + 110\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -201 - -196. Let y(z) be the third derivative of -z**6\/120 + z**5\/12 + 5*z**4\/24 + 5*z**3\/6 - 2*z**2. Let c be y(6). Is c bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14433 (base 12) in base 9?\nAnswer: -42683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 6. Let r be u(-6). Let n be 54\/7 + 2\/7. Suppose r*b + n = 4*b. Solve 3*v = v - b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y - 3. Let u(o) = 3*o + 1. Let i = -37 + 109. Let z = i - 75. Determine z*v(j) - 8*u(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 112, 439, 1012, 1855, 2992, 4447?\n\"Answer: 4*i**3 + 99*i**2 + 2*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(((-1116)\/(-756))\/(-31))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5411463.8 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5422221 (base 6) to base 2\nAnswer: -1000001010011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -414*d**3 + 4*d**4 + 411*d**3 - d**4 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**2 + 101 + 87 - 193. Let s(b) = 8*b - 9*b + 2*b. What is d(s(u))?\nAnswer: -5*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5844, -5846, -5846, -5844, -5840, -5834, -5826?\n\"Answer: t**2 - 5*t - 5840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 1 - (60 - (156 - 77)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, u: 1, b: 4, p: 7, n: 1, g: 3}. What is prob of picking 1 g, 1 u, and 1 n?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -90, 5, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k**4 + 0*k**4 + 17*k**4 + (2*k**2 + 3*k**2 - 2*k**2)*(3 - 3 + 2*k**2).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-38)\/95)\/((-4)\/5). Put -2\/17, v, 1 in descending order.\nAnswer: 1, v, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/5 + 206*n**2\/5 - 1009*n\/5 + 804\/5 = 0. Calculate n.\nAnswer: 1, 4, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6) + (-110 + 42 - (6 + -3 - 1)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -5. What is the greatest common factor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23264118 divided by 3877353?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-8\/7)\/b**(4\/5) assuming b is positive.\nAnswer: b**(-68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.3 + -3. Which is the closest to 2? (a) 0.4 (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10817 divided by -10\nAnswer: 10817\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34344442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (9 + (-9 - 5)) - -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 0 - 4*o + o + o**2 + 0. Is 2 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54a2 (base 13) to base 16.\nAnswer: 2e11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -52, -126, -230, -364, -528?\n\"Answer: -15*s**2 + s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 784\/10 - (-15)\/25. Let l = 275 - 95. Let t = l + v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3 + 4*z**2 + 9*z**2 + 0*z**2 + 3. Is a(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8*g - 13. Let j be t(-3). Suppose 9*i - j*i + 8 = 0. What is the second derivative of 5*k - i*k - 4*k**5 - 8*k**5 - 3*k wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19723 - 297*k - 19723)*(3*k + k**2 - 3*k) in the form t*k**2 + p*k + i + x*k**3 and give x.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 1. Let p(m) be the second derivative of m**3\/2 + 5*m**2\/2 + 28*m + 1. Let t = -8 + 10. Suppose -1 - 7 = t*k. What is k*n(x) - p(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + (sqrt(931) - (-1*sqrt(931) + sqrt(931))) + (sqrt(95)\/sqrt(5))**2 + -2.\nAnswer: 17 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6623.788 millilitres?\nAnswer: 6.623788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4687*z**4 - 5023 wrt z?\nAnswer: 18748*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/33 and -5\/66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-863*w - 28*w**2 + 863*w)*(-9 + 26 + 12).\nAnswer: -1624*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**3 + 55*u**2 + 15*u - 39. What is y(14)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0017894 rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -243.8, 0.07, -0.113?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 128. Let p(g) = -2*g - 130. Determine -6*a(k) + 5*p(k).\nAnswer: 2*k + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -18*y**3 + 2*y**2 + y. Let i(u) = 3*u + 1. Let k be i(1). Suppose -4*l = -4, 3*l - 6 = k*t + l. Does 5 divide m(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 8. Which is the third biggest value? (a) y (b) 118 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.589 - -0.649. Let x = 0.09 - l. Put 12, -0.3, x, 2 in descending order.\nAnswer: 12, 2, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 - -63. Suppose -6 - 20 = -z*i + o, -5*o - 5 = 0. Suppose -5*l - 11 = 5*m - 61, -5 = -i*m + 4*l. Solve -j = m*w + 23, 19 - 1 = -3*w - 2*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**4*z*(((z\/z**7)\/z)\/z)\/z*z\/((z*z**7)\/z)*z**(-2\/11)*(z*z*z**(2\/7))\/(z*(z*z**(-1\/4))\/z*z)*z\/(z*z\/(z*z**(1\/3)*z))*z**(-4) assuming z is positive.\nAnswer: z**(-11377\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrr when three letters picked without replacement from lwrhswrxrxrw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lai. Give prob of picking 1 l and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)*w*(w\/(w\/(w\/(w*w*w**(-6)\/w*w))))\/w)\/(w**(2\/3))**(-13\/4)*(w\/w**(1\/4))**(-8)\/(w\/(w\/(w**(-2\/7)*w*w)))**(-15\/8) assuming w is positive.\nAnswer: w**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 + 193 = 5*z, 5*b = 12*z - 55 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1403.9 + 1403.71179. Round r to three decimal places.\nAnswer: -0.188","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*w + 4*w. Let c = 6 - 4. Solve -w*l = -g - 4, c*g = 4*l + 2 - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 25. Suppose -13*s + 48 = -s. Factor -g**3 + 21 - 2*g**r - 35 + 14 + g**s.\nAnswer: g**2*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 22. What is the smallest value in j, -2\/3, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9812 = 3*v - 9740. Which is the nearest to 0.2? (a) -2\/13 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 7 = -3*j - 6, -2*j + 3*t - 13 = 0. Suppose -17 = 3*b + 5*v, -2*v = -4*b - 17 + 3. Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w + 34*w = -6*t - 28, 12 = -2*t + 2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from kkyooaoof?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let v(q) = -q. Suppose 0 = 3*m + 6. Let f be ((-15)\/6)\/(m\/4). Let a(o) = -6*o + 2. Calculate b*a(c) + f*v(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863679239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -2*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 267748*l**3 - 103865*l**2.\nAnswer: 1606488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**3)**(-12\/13)*((p*p\/p**(-1)*p)\/p)\/((p\/p**(3\/10))\/p))**11 assuming p is positive.\nAnswer: p**(-561\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (14\/(-4) - (-9 - 75\/(-10))). Solve 5*m + 7*j + 27 = 6*j, 0 = -b*m - 3*j - 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2810 - 8?\nAnswer: -2818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let v(s) be the first derivative of 3*s**2\/2 + 5*s - 2. Let a = 1 - 2. Let b(p) = 1. Let j(u) = a*v(u) + 5*b(u). What is k(j(t))?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 3*d**2 - d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -547, 714, 1975, 3236, 4497, 5758?\nAnswer: 7019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -474*m**2 + 16114*m + 131. Determine i(34).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h - h + 0*h)*(47 + 17*h - 47)*(0*h + 3*h - 4*h) to the form r*h + d*h**3 + x*h**2 + o and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 3*b - b)*(11 + 6 - 5)*(b + 2 - 2) to r*b**2 + f + t*b and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/9)\/((-1)\/(27\/(-6))). Suppose x - 5*v + 50415 = 5*x, 0 = 2*x - w*v - 25191. Round x to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23274878*m*p - 23341228*m with respect to p.\nAnswer: -23274878*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5243 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -435, -449, -461, -471, -479?\n\"Answer: y**2 - 17*y - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10006 - 5044 - 4962 + 68*j.\nAnswer: 68*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, t: 10, x: 4}. What is prob of sequence xtp?\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in 0.05, -1.2, -0.3, -21?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.62 - 386.\nAnswer: -386.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57549674 minus 0.1535?\nAnswer: 57549673.8465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*a - 5*a. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-290.65.\nAnswer: -116.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -413 + 412.721. Let i = m - -182.279. Let q = -181.9777 + i. What is q rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16279 * 0.2.\nAnswer: -3255.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8025970 to the nearest ten thousand.\nAnswer: 8030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 6*w**2 - 23*w - 44. Let t be r(-8). Let c(j) = -8*j + 6*j + 13*j + 1 - t + 5*j. Let m(a) = 8*a - 6. Give -6*c(g) + 11*m(g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 369 + -206. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 9 + 8*h - 5*h - 7*h. Let c be x(1). Solve -3*l - 16 = l - j, 8 = 4*l + c*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 36 = -2*o + 18, -w + 108 = 4*o. Let d(j) = -4*j**2 - 128*j + 8. Let z be (44\/33)\/((-2)\/48). What is the remainder when o is divided by d(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**3 + 0 + 0 + (597*v - 597*v - 13*v**2)*(2*v + 4*v - 4*v) to the form p + i*v**2 + l*v**3 + d*v and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1069, -4802, -11239, -20380?\n\"Answer: -1352*i**2 + 323*i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - m**2. Let i be q(1). Which is the nearest to 1? (a) i (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 4, s: 2, f: 2}. What is prob of sequence kkf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383926 is divided by 1684?\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 78 and -0.84.\nAnswer: 77.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(3) - sqrt(48)) - -2*sqrt(3)*1) + -5 - (((1 + sqrt(363))*-2 - sqrt(363)) + 5))**2.\nAnswer: -768*sqrt(3) + 3216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -3 + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**6\/90 - p**5\/30 + 5*p**3\/3 - 8*p. Let m(g) be the second derivative of x(g). What is the second derivative of m(o) wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 7*g**2 - g + 4. Calculate the lowest common multiple of 3 and u(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {b: 4, d: 1, c: 5}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 258827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, 2\/11, 80 in descending order.\nAnswer: 80, 1, 2\/11, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*a - 26 = 4*a, -4*f + 108 = -4*a. Is (-7)\/f - (-82)\/8 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -186*s - 22. Let x be h(-4). Suppose 4*u = 2*q - x, 4*u + 3*q + 707 = -0*u. Let w = u - -345. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 130, 229, 356?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1435\/387741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 1. Let s(w) = -2*w**2 + w + 2. Let z(k) = 3*s(k) + 4*u(k). Let p = 7 - 4. Is 10 a factor of z(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20453000 rounded to the nearest one hundred thousand?\nAnswer: -20500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 5. Suppose 10*n - 11*n - 2 = 0. Let u(i) = -i + 2 + 0*i + 0*i. Give n*c(y) - 5*u(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -153. Suppose 0 = 4*u - 9*u + n. Calculate the highest common divisor of 176 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aayyyyayyya?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*c**3 - 15*c - c**4 + 0*c**4 - 18*c**3 + 13*c - 1 in the form m*c**4 + k*c**2 + p + n*c + l*c**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from fuuqaqfqqafqquffffaq.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-6))*n*n**(2\/27)*n**7*n*n*n**7)**0 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15816104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4090000 to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-135))\/1*492\/(-2050)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and 72.\nAnswer: -2592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 34 + 8)*(i - i - 2*i**3 + (8 + 8*i - 8)*(-2*i**2 + 3*i**2 + 2*i**2)).\nAnswer: -1518*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 7:41 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*c + 10 - 3 = 0, x + 5 = -c. Is (x\/4)\/((-6)\/136) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21042745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2. Let s(x) = -342*x**2. Calculate s(g(v)).\nAnswer: -1368*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 420646753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 246125 divided by -1?\nAnswer: -246125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 2, b: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/60 + t**4\/3 + 8*t**3\/3 + 18*t**2. Let q be d(-5). Solve 2*z - 9 = q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 - 3*k**3 + 2*k**3 - 13*k**2 + 13*k**2 to d*k + c*k**3 + p + n*k**2 and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 970445141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11581 - 11654) + (1 - -40).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*a = -20, 3*r - 87*a + 86*a = 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1008\/540 - (-4)\/((-660)\/(-127)).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-180)\/5*(-3)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 12*m - 7*m - 112, 6*b = 4*m + 10*b - 92 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (171*w - 9*w + 48*w + 11*w)*(16*w - 11*w + 16*w).\nAnswer: 4641*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 658103 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: Calculate the highest common divisor of 737 and 8576.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**2*z + 17*c**2 - 4*c + 21*z**3 wrt z?\nAnswer: 2*c**2 + 63*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845*w - 1352 = 949*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-8 + 3) - 20. Let u be (3 + 0)\/(t\/(-3112)). Let a = -250 + u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -44. What is the smallest common multiple of 7\/(20\/(-12) + 2) and y?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = -5*s - 7, 2*c - 14 = 5*s. Let k(n) = 39*n - 75. Let q be k(c). Solve y + 1 = -z + q, 0 = z - 5*y + 28 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 + 2.09. What is the nearest to k in 4, -5, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6125*y - 630. Let d be ((-6)\/8)\/((-42)\/(-112)). Let p(w) = -39*w - 4. Let n(l) = d*h(l) + 315*p(l). Let k(q) = -2*q**2. What is n(k(i))?\nAnswer: 70*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 - 8*w**2 + 160*w - 256 = 0. What is w?\nAnswer: -8, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6951195835.\nAnswer: 5, 1390239167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/105 - (6 + (-118)\/20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, 2709, 1\/2, -3, -0.16, 0?\nAnswer: 2709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -55*l + 53 - 5. Which is greater: l or -2\/10065?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 minus 19.9?\nAnswer: -83.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5716872277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 1068, 2483, 4464, 7011, 10124, 13803?\nAnswer: 18048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 23 = n. Solve -3*r = -2*r - 4*a - 18, 4*r = -2*a - n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**4 - 2*s**2 + s - 6*s**3 + 2*s**3 + 0 + 1 - 1 - 2 in the form l*s**2 + w + k*s + t*s**3 + f*s**4 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 2*y**2 + 2. Let t be x(3). What is the greatest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/13 + (-15)\/((-9)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.11 and -0.629.\nAnswer: 0.69819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/14)*(o\/((o*o*o\/(o\/o**(-3\/7))*o*o)\/o))\/o*o*(o**(-2\/5))**(1\/13))**(22\/7) assuming o is positive.\nAnswer: o**(-3883\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(8\/(-6)) + 1. Let n be (t\/(-6))\/((-2)\/(-6)). Sort n, -4, -3.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 10:40 PM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 34 = -14*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1036 - 349. What is the remainder when o is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 563.6264 minutes to microseconds.\nAnswer: 33817584000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53906337 and 170.\nAnswer: 539063370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5776 and 3119952?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -145033867*l. Let y(c) = 2*c**2. Determine x(y(s)).\nAnswer: -290067734*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.42 - -0.01. What is m rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + w + 1. Let m(t) = 5*t**2 - 12*t + 1. What is 5*d(s) + m(s)?\nAnswer: -5*s**2 - 7*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2368, 2369, 2370, 2371, 2372, 2373?\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(1\/77)*u*u**(-35) assuming u is positive.\nAnswer: u**(-2463\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-106)*(-12)\/16*(-664)\/(-332)\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/15)\/((-2)\/(-95)). Suppose 74*a = p*a - 2. Let b = 3.4 + -4. What is the third biggest value in b, a, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/d**(-2\/7))\/d*d**(-1\/8)\/d)\/(d**(2\/19)\/(d*d**(-5\/2))) assuming d is positive.\nAnswer: d**(-1537\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 8 = -32. Sort 1, y, -1 in decreasing order.\nAnswer: y, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/(-770)*(-3020)\/396 and 41\/72.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -6*o - 336. Suppose 23*m + o = 25*m. Solve 7*h - 7 = -m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15860 is divided by 393.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 u when four letters picked without replacement from {u: 7, e: 1, h: 2, y: 1, x: 6}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 3*w - 11. Let a be (17\/1)\/((-1)\/1). Let x(m) = 3*m**2 + 8*m - 32. Let j(y) = a*c(y) + 6*x(y). Give j(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 9*p + 9. Let b(m) = m**2 + 4*m - 4. Let h(v) = -7*b(v) - 3*q(v). Let k(l) = l**3 + 2*l. Let a(y) = 3*h(y) + k(y). Determine a(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by -3742035?\nAnswer: 73\/1247345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -5 (b) -4 (c) -1.4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10601 or 171?\nAnswer: 10601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Solve 5*r = -z + 20, 3*r - q*r + 8 = -2*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48430 + 48034 = -36*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13.5. Let r = 3.8 + k. Round r to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, -4, -2 in descending order.\nAnswer: 96, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592308.\nAnswer: 2, 3, 16453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 402 + -394. Calculate the greatest common divisor of 64 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.407 take away 5?\nAnswer: -2.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 344689209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - -60 - 28 - 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = h + 24. Suppose 16*u - 5*u = 44. Solve u*l - h = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 70 = -7*t. Suppose 0 = -5*n + 5*p - t, 2*p = -n - 0*n + 10. Solve -n*g = 2*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 47 - -364?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -5, -1486, 5\/2, -4\/3?\nAnswer: -1486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Let y = -31 + 31. Let i(d) be the first derivative of y*d + 5 - 3\/2*d**2. Determine i(b(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 1:08 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 - -3. Let n = 115 - 113. Let d = 0.2 - 0.2. Which is the smallest value? (a) d (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4183698 divided by 22493.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9)\/t*t\/t**(-2\/11))\/(t**(2\/11)\/t)**(-29) assuming t is positive.\nAnswer: t**(-358\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/55*20\/8. Which is the closest to -2\/7? (a) -1\/6 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2 + 11*b - 4. What is o(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(5) - sqrt(5))*-6 + (sqrt(5) + 1)*-3 - ((sqrt(320) + 3 + sqrt(320)*-1 - sqrt(320))**2 + sqrt(320))*5.\nAnswer: -1648 + 185*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -2*v**6\/45 - 2*v**5\/15 + 4*v**3\/9 + 2*v**2\/3 - 3*v. Find s, given that p(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 74962*z + 74962*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -76*b - 33. Let j(i) = -115*i - 50. Let y(d) = 8*c(d) - 5*j(d). What is the hundreds digit of y(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -46*g + 418. Let l be k(9). Suppose 0 = 13*n + 51 - 51. Which is the closest to 5? (a) -5 (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 2*g. Let r(i) = -i**3 - i**2 - i. Calculate o(k) - 2*r(k).\nAnswer: 2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2561 + 5.4561. Let y = 0.04 - 0.11. Let i = y - -5.07. What is the nearest to 2\/7 in i, p, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1608087 and -64711.\nAnswer: -1672798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13830.\nAnswer: 2, 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/6, 0.05, 5 in descending order.\nAnswer: 5, 0.4, 1\/6, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = -8. Let f = 7 - x. Solve -6 = f*k + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 12, 82*g - 77*g + 47 = -3*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(136)*5*1)\/(sqrt(32)\/sqrt(4)*-4 - sqrt(8) - sqrt(512)) + -2.\nAnswer: -2 + 50*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -26. Let y(a) = a + 3. Calculate the remainder when y(4) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 556 + 21 = 0. Solve 23*i + b = -8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27033230 and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*v - 15, 3*c + 0*v - 47 = -4*v. Suppose 5*i - 145 = 3*t - 8*t, 3*i - 115 = 4*t. What is the remainder when i is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 6. Let x be l(-3). Let m = 4 + x. Suppose 2*u = 1 + m. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 20010?\nAnswer: -20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 967125 is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**3 + 64*y**2 + 4*y + 385?\nAnswer: 6*y + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 5, d: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -560 (base 15) to base 2\nAnswer: -10010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (23 + (-2806)\/115)*(5 + 0). Let m = -3 - 0. Sort m, r, -1, 2 in descending order.\nAnswer: 2, -1, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3743?\nAnswer: 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(10\/7)*u\/u**(-8\/7))\/(u*u**(-18)*u)**42)**(-10\/3) assuming u is positive.\nAnswer: u**(-47360\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 - 42 - k + 4*k**2 - 2*k**2 in the form p + q*k**2 + i*k and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*t**3 - 46*t**3 + 6*t**4 + (-4*t**2 + t**2 + t**2)*(0 + 0 + t**2).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o + 80. Let t = -22 + o. Let v(n) = n**2 - n + 1. Let w(x) = -4*x**2 + 7*x - 5. Let k be (440\/100 - 4)*(-20)\/8. Determine k*w(y) + t*v(y).\nAnswer: -2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 13*n**4\/12 + 3408*n + 1. Let v(b) = -113*b - 3. What is v(l(s))?\nAnswer: -1469*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20444 (base 5) to base 9.\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*s**2 - 124*s**2 - 81 + 50)*(-7 + 2*s + 7)*(0 - 4 + 2).\nAnswer: -12*s**3 + 124*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - -20?\nAnswer: 19.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19430*g**2 - 19433*g**2 - 19435*g**2 - 19434*g**2 + 75 + 77730*g**2.\nAnswer: -2*g**2 + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1420*u - 1987985 = -22189*u + 1842142 - 808175 for u.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -373, -739, -1105, -1471?\n\"Answer: -366*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1497 (b) -23 (c) 0.33 (d) -1 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w = 19*w - 131*w - 5902419. What is w rounded to the nearest 100?\nAnswer: -33300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 - ((1 - -11) + (641 - 621))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -568*v. Let j(p) be the third derivative of -17*p**5\/60 - 12*p**2 - 99*p + 1. What is j(x(a))?\nAnswer: -5484608*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -1, -118715 in descending order.\nAnswer: 5, -1, -4, -118715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 120\/15)*((-9)\/(-2))\/(-3). Suppose 5*j - 74 = -14. Solve o*t + t = -12, -2*t - j = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*p + 301 - 405 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1404*-0.074309.\nAnswer: -104.329836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/9))\/n*n)**(-16)*n**(-3\/7)*n**9 assuming n is positive.\nAnswer: n**(-244\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 2\/13, 0.13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6309708?\nAnswer: 2, 3, 525809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 71140072 to the power of 1\/2, to the nearest integer?\nAnswer: 8434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**2 - x**2 + 2*x**2)*(2*x - 2*x + 2*x + (-1 + 0 + 0)*(-4*x + x + 4*x) + 10384 - 10384 - 595*x) to h*x**2 + i*x**3 + u*x + y and give i.\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + z - 4851. What are the prime factors of 2\/(-3) - z\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + f**2 - 1. Suppose 0 = -y - g + 58, 2*y - 3*y + 62 = -g. Let q be y\/27 + (7 - 520\/72). Calculate d(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22299721.2 seconds in days?\nAnswer: 258.098625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1489 is divided by 495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -44300*g + 1107504. Give p(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*k - 3, -3*k = -k - o - 1. Does 7 divide (2\/k)\/((-2)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/11)\/((((t\/(t*t**(-5\/3)))\/t)\/t)\/t)*(t\/t**(-1\/2)*t)**(3\/4))**(2\/37))**(1\/21) assuming t is positive.\nAnswer: t**(799\/102564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 40*y = 4. Determine s so that 40\/7*s**y + 36\/7*s**3 + 0 + 16\/7*s**5 + 2*s**2 + 2\/7*s = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 7*h. Suppose -z + 10 = -4*c, 14*z - 12*z - 14 = 5*c. Solve h + 1\/4*x**3 + 1\/2*x**z + 0*x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378705011.\nAnswer: 3, 459568337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243 + 242. Let g(f) = -6*f**2 + 1. Calculate g(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -602 - -3014\/5. Let -g*x**2 - 3\/5*x + 1\/5 = 0. What is x?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1570 and -1.79.\nAnswer: -2810.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*k - 660 = -87*k for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1721, 3731, 6025, 8609, 11489?\n\"Answer: z**3 + 136*z**2 + 1595*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2\/13, -2\/137, 12, 0 in decreasing order.\nAnswer: 19, 12, 0, -2\/137, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9438 or -1\/27?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/11 - 48\/77. Let u = -100 - -255. Let f = u - 155.4. What is the biggest value in 0.5, n, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2489036 is divided by 404?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 889*b - 798*b + 1151*b = -636*b + 13146. Let r(x) = 5*x**2 + 7*x + 13. Let k(w) = 3*w**2 + 3*w + 7. Let f(z) = 7*k(z) - 4*r(z). What is f(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49418.77 kilometers in centimeters?\nAnswer: 4941877000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.124917 millennia to centuries.\nAnswer: 61.24917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3125*u - 20789 wrt u?\nAnswer: 3125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/7 (b) -6 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**4 - f**3 - f**2 - f. Let m(h) = -3*h**4 - 9*h**3 + 33*h**2 - 15*h + 6. Suppose -55 = 8*k - 47. Let r(t) = k*m(t) - 6*j(t). Factor r(o).\nAnswer: -3*(o - 2)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2374 + -18989\/8. What is the closest to j in 1\/4, -5, -2\/3, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 0 + 2*c - 2*c**2 - 1\/6*c**3 - 1\/12*c**4. Let b(v) be the first derivative of n(v). Determine b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*a - 1071*a + 305*a + 42*a = 118090 for a.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.523 and -633.\nAnswer: 16789.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 249 = -3*i + 37, i = -2*a + 94. Let g be (7 - 2)*24\/10. What is the greatest common divisor of i and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s - 21 = 2*j, 0 = -5*j + 10. Suppose -153*v + 159*v - 570 = 0. Suppose -v*q = -97*q. Solve q = 5*t + s + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1766 + -1815?\nAnswer: -3581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 42. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 - (1 + (2 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x - 2. Let v(j) = 11*j - 1. Let t(z) = 4*v(z) - 3*y(z). Let k be t(3). Suppose 8 - k = -3*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v - 20. Let r(y) = -y**3 - 3*y**2 - 4*y - 3. Let z be r(-2). Let g = -0.553221 - -0.153221. Which is the closest to z? (a) g (b) 6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 1.26733 (c) -0.4 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 39*i - 1. Let h(o) = 42*o**2 - 2*o + 2*o - 41*o**2. Give v(h(u)).\nAnswer: 39*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(2\/((4\/6)\/(-1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 190*d - 1171. Determine r(-196).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -66. What is the highest common factor of x and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 17. Determine y(7).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 7*u**2 - 13*u + 9. Let w be m(5). Let t(l) = 3*l**2 + 14*l + 4. Let g be t(w). Solve 3*k = -0*k - 4*v - g, 5*v = -5*k - 40 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 1, q: 2, p: 1}. What is prob of picking 1 q, 1 p, 1 o, and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25836 + 25838. Put 21, -7, j, 0.5 in decreasing order.\nAnswer: 21, j, 0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 787 - 847 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 55?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1815\/27514 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**9\/18144 + m**8\/10080 - m**7\/5040 - m**6\/2160 - 19*m**3\/6 + 11*m. Let k(j) be the second derivative of i(j). Factor k(p).\nAnswer: p**2*(p - 1)*(p + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f*f*(f**(3\/7)*f)\/f)\/f))**(25\/4)*f**(-1\/2)\/f**(-9))**(-2\/23) assuming f is positive.\nAnswer: f**(-169\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3634182891 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9 + 0 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19914.\nAnswer: 2, 3, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.326 + -94186.\nAnswer: -94186.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**5 - t**4 - t**3 + t**2 + 2*t - 1. Let j(h) = -7*h**5 + 16*h**4 - 11*h**3 + 2*h**2 - 16*h + 8. Let s(l) = 24*b(l) + 3*j(l). Factor s(d).\nAnswer: 3*d**2*(d - 1)**2*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 24 + 24 - 2*l**4)*(3 - 2 + 1 + (-2 - 1 + 4)*(3 + 1 - 3)).\nAnswer: -6*l**4 - 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 7:57 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0*l)\/l)**(-40\/3)\/(l**3\/(l\/(l*l**(1\/6)*l))))\/((l*l**(-1)*l)**(6\/19)*(l\/l**(1\/3)*l*l)**(3\/43)) assuming l is positive.\nAnswer: l**(-22885\/4902)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {j: 6, x: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*l + 18 = 0, -8*b - 5*l - 4 = -4*b. Let x be (220\/b)\/(2\/(-6)). Suppose -3*d - 5*j + x = 2*d, -d + 16 = 3*j. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2662 and -83\/176?\nAnswer: 21296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65581\/22 + 2985. Let j be (7\/(-14))\/(2\/20). Find the common denominator of v and 2\/(j*(-8)\/(-46)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1433553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, o: 7, t: 2, p: 4, x: 1}. What is prob of picking 1 t and 3 p?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30173 is divided by 657.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (80 + 4) - (3 - 23)) + -1 + 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/6018*54468\/(-11214).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 17384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-5 - -6) + (-25)\/(-8 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44039 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 2*l**2 + l + 2. Let u be q(-2). Is 3 + u\/1 - -52 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 3.02. Let m = -0.066 - -3.166. Let x = m + h. Which is the closest to -1? (a) -4\/7 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*c = 10*l + 35, 0 = l - c + 5. Let t(q) = 4*q**2 + 3*q + 21. What is the tens digit of t(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 42 = 17. Suppose 74 = -3*b + z*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17939 = 17929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = j - 10, -n - j + 31 = 4*n. Let a(t) = -t**2 + 7*t + 2. Let c be a(n). Solve 7 = c*f + 3*r, -f - 4*f - 20 = -5*r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860273?\nAnswer: 263, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 309769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -4 - (-6 - 3). Suppose -q*w + 15 = -w. Suppose 3*b + 23 = 4*h + 67, 0 = -w*b - 4*h + 76. Solve 2*g - 4 = p + p, 0 = -5*p - 5*g + b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44466560 take away 595.6?\nAnswer: 44465964.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 0 - 72*d - 4 + 3 + 4 + 60*d. Calculate l(-15).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 327*t - 33*t**4 - 327*t + (2*t**4 - 4*t**4 + t**4)*(0 - 2 + 1) as w*t + i*t**4 + o*t**3 + b + p*t**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1764 + 1769. Suppose 3*k = 3 + 3. Suppose k*t + 1866 = w*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -54*o - 72*o = -124*o + 32 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 - 84*c**2 - 193*c + 77. Calculate the least common multiple of p(-43) and 10.\nAnswer: 60370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let v be j(10). Calculate the lowest common multiple of 16 and 3\/(-6)*v + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 4:30 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o + 5 = 0. Let g be 5\/(o - (2 - 2)). Suppose 0 - 2*c**2 + 2*c**4 - 39\/2*c**3 + 2*c + 35\/2*c**g = 0. What is c?\nAnswer: -1, -2\/5, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/((-6461)\/234)*126\/(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 4*x**2 + 0*x**2 + x**2 in the form b*x**2 + z*x + s and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 127358208?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.699 - 33.48996. Round k to three decimal places.\nAnswer: 0.209","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Let d = -0.194 + -1.426. Let n = d - -1.52. Are n and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33805589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 1, s: 1, c: 1, g: 1, x: 2}. Give prob of sequence gcx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416495 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069 + 0.51?\nAnswer: 0.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y - 1. Let h(x) = -5*x - 2. Calculate 3*h(u) - 4*j(u).\nAnswer: 9*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110.2 + 110. What is the third smallest value in -5.8, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-130))\/((-16)\/20).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 3, w: 4, t: 1, h: 2, a: 2, j: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -283, 1, -69, 2.\nAnswer: -283, -69, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u*u**7)\/u)\/u)\/(u**(-2\/9)*u)*u**(2\/7)\/u**(-6) assuming u is positive.\nAnswer: u**(788\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 4. Suppose 5*b - 2*b = -3. Let u be b*(-2 - (-24)\/3). Is 9 a factor of a(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43124000 rounded to the nearest one hundred thousand?\nAnswer: -43100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 - 742*w**2 + 347*w + 4260. Give q(185).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322, 599, 782, 823, 674, 287, -386?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 6:03 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-1 - 3))*1\/4. Put 7, b, -5, -1 in descending order.\nAnswer: 7, b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and ((-20)\/25)\/((-2)\/10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/(-126) + 477\/(-1113)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 327\/15 + 2\/10. Suppose h - 7 = -5*p. Let x = 0 - p. Let k(o) = o**3 - 3*o**2 - o - 2. Calculate k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5779221?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1876 divide 232397004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84736 is divided by 2569.\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19074*s - 19082*s - 80 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 172829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -14. Suppose 1001 = 4*h + p*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = m + 2*i + 12, 0 = -m - i + 9. Suppose -6 - m = -3*n. Suppose 0*u = 2*u + 2*h + 10, -2 = -5*u + n*h. Let s(c) = -2*c**3 - 2*c**2 + c. What is s(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -3*g - 3*a, 235*a + 8 = -231*a + 464*a for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g - 498 = 31*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*z + 196*z - 1097 - 4903 - 156 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-21)*(-4340)\/1550.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**2 - 1 - 16*i**2 + i - 9*i + 4*i**2 as s*i + a*i**2 + f and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbmmyyh. Give prob of sequence mb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -128*i**2. Let x(p) = 5*p**2 + 3*p + 3. Let z(f) = -4*f**2 - 2*f - 2. Let c(t) = 2*x(t) + 3*z(t). Determine y(c(m)).\nAnswer: -512*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71818 is divided by 73?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, 24, 100, 156, 186, 184?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/(7\/(-165144)*6).\nAnswer: 2, 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unw when three letters picked without replacement from {n: 1, v: 3, c: 7, u: 2, q: 3, w: 2}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*a = 7 + 93, 413 = 4*b - 5*a. Let u be ((-2)\/(-3))\/((-4)\/b). Let v = u - -19. Solve -k + 5*d = 23, -v*k + 3 + 7 = 4*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/7)*s)**(-44) assuming s is positive.\nAnswer: s**(-396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 + 2*u**3 - 5 - 9*u - 7*u**3 wrt u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqj when three letters picked without replacement from {s: 3, q: 1, u: 5, j: 3}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 31. What is z(-8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101*-45*78\/14040.\nAnswer: 101\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 0. What is the units digit of (-48)\/40*10\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/7 - -3\/14. Let w = -402 + 400. Which is the second biggest value? (a) j (b) w (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*s = 4*g - 191, -g = 3*s - 36. Suppose -g = -2*v + v. Let r = -36 + v. Sort 2, -12, r in increasing order.\nAnswer: -12, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3428 divided by -15\nAnswer: 3428\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 306 - 282. Let g(q) = q + 5. Let o be g(-5). Suppose 3*t = -o*t + 18. What is the greatest common factor of a and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z + 3*q - 12, -4*z + 32 = 2*q. Let w(v) = -v + 8. Let s be w(z). Sort 3, -4, s.\nAnswer: -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + 39. Suppose -3*f = -2*g - 6*f + 42, t*g - 4*f = 42. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/(2 + 1*-4). Let z = -8 - n. Let j be 1 + (0 - -1) + z. Solve 0 = -4*f + 3*c, j*f = 4*f - 3*c - 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0874747704 to five decimal places.\nAnswer: 0.08747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124 - 64376\/(-520)) + (154\/(-20))\/(6\/84).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904\/8 + -5 + 0 is divided by -3*((-25)\/5 + 20\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 8. Let v(w) = -w + 2 + 7*w - w**2 + 4 - 4. Let l be v(n). Solve 3*c = -12, -4*c = -3*y - l*c + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 559, 0, 2 in ascending order.\nAnswer: 0, 2, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56 - (-470428)\/8400)*-6?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 139753 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.07562?\nAnswer: 0.030248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*c - 36. Suppose -3*f + 5 + 1 = -3*m, 5*m = f - 22. Calculate the least common multiple of c and (18\/8)\/f*-4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 123352, 1\/5 in ascending order.\nAnswer: -5, 1\/5, 123352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 4*w - 197*w**3 + w.\nAnswer: -197*w**3 + 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 1293*v**4\/4 - 854*v**3 - 1691. What is the third derivative of l(j) wrt j?\nAnswer: 7758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 508?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411044 (base 6) in base 8?\nAnswer: -232704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 985250 to the power of 1\/2, to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 2133?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 349*m**2 + 702*m**2 - 16*m - 354*m**2 to the form k*m + a*m**2 + c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 1)\/((-3)\/9). What is the third derivative of -4*f**6 + r + 7*f**2 - 21 wrt f?\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237033.161ns in weeks?\nAnswer: 0.0000000020453590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.135*-9.\nAnswer: 1.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/32)\/(z**(-6\/23)*z))**(9\/4))**(-4) assuming z is positive.\nAnswer: z**(4275\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -63, 32 in increasing order.\nAnswer: -63, -1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 + -108. Does 9 divide ((-228)\/(-9))\/((-11)\/3 + t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19136 - 19063. Calculate the remainder when 314 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -49*f**4\/12 - f**3\/3 + 27*f**2 - 39*f. What is the second derivative of x(u) wrt u?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - 4) + (6 - 56 - -29)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/44*6*9 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230504 (base 6) to base 7\nAnswer: -111133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Suppose w - 5*w + 4 = 0, 0 = o*i - 5*w + 11. Let s(f) = -3*f - 3. What are the prime factors of s(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {k: 1, r: 5, n: 6, h: 1, s: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/(-8) + -2 + (32 - 23).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + -4.5. Let d be ((-4)\/(-18))\/(2\/3). Let u(k) = -k**2 - 5*k + 3. Let f be u(-6). Which is the third smallest value? (a) d (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrrrqgnnrngr. Give prob of picking 1 j, 1 q, and 2 r.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -282, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2459?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, 3\/4, 38, -0.2, -749?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 169656 and 99376002.\nAnswer: 397504008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7257.11 - -7210. Let m = -48 - v. Round m to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 3*a - 3. Let o be x(3). Suppose b = -2*v - 2*b + o, 0 = 3*v - 5*b + 25. Which is greater: v or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -15*g**3 - 2*g**2. Let w(p) = -p + 10. Let j be w(12). List the prime factors of f(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 803 + -311. Suppose 308 + m = -4*u. List the prime factors of (u\/(-60))\/(4\/102).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Suppose -r*h = -4*h + h. Solve h = a + 1, 0*k + k = -5*a - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 111123 + 30?\nAnswer: 111203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4\/5 (c) -2 (d) -308 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2614.194mg?\nAnswer: 2614194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016956 to four dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.2 at least as big as 4.91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f - 202 + 130 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 334092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141\/2 - -69. Let p(s) = -s**2 - 9*s + 6. Let o be p(0). Suppose -14*f + 16 = -o*f. Put 4, f, u in decreasing order.\nAnswer: 4, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70681 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 392 - -2013. Suppose 5*u - 2403 = -r + 5*r, -5*u = -5*r - v. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15190095907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 629, 5, -1\/26, -2\/27.\nAnswer: -2\/27, -1\/26, 5, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 4160 + 4195 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - -24?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30360821 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1367463, -1367470, -1367477, -1367484?\n\"Answer: -7*n - 1367456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221139?\nAnswer: 3, 24571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -7*d + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 11:34 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2629, -2628, -2627, -2626?\nAnswer: -2625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 8 - -9) + -17 - 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 108. Let z be (-1 - d)*(32\/5 - 7). Solve -q - z = -0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 + 0.7. Let r = -4 - h. Let v = 18 + -18.05. Which is smaller: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195055.1364 - -36.1364. Let z = -195052.0046 - n. Let b = z + 33. What is b rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - sqrt(1872)*-2*-5) + sqrt(1872) + sqrt(1872))**2*1 + (1*sqrt(104)\/sqrt(4))\/(sqrt(14)\/(sqrt(14)\/sqrt(2))).\nAnswer: sqrt(13) + 91728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 2498180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -4\/5, 769, 0, 2\/9 in decreasing order.\nAnswer: 769, 2\/9, 0, -2\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 400*y**2 - 34768*y + 1078656.\nAnswer: -(y - 24)*(y + 212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1280)*-1)\/(sqrt(30)\/sqrt(75)).\nAnswer: -40*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n**4 - 38*n**3 - 4*n**4 - 10*n + 5*n**4 - 30*n - 113*n wrt n.\nAnswer: -36*n**2 - 228*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 3*t - 3. Let y = -2 - 1. Let f be z(y). Suppose -b = -4*b + f. Solve 0 = b*x - 11 + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s)*(185317 - 4507*s - 185317).\nAnswer: -4507*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.11833l to millilitres.\nAnswer: 88118.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 8. Suppose 8*p - 3*p = 45. Suppose 5*j = -21 - p. Let f(m) = 3*m + 7. Let t(d) = j*f(d) + 5*v(d). What is t(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1405 + 1403.006. Let h = -2.47 - v. Round h to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39382 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -2)\/(368652\/73731 + -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1321\/8 and -3.067 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 minus -31533.835332?\nAnswer: 31534.435332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3a5 (base 15) to base 6\nAnswer: 3502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 259*c + 1 - 437*c + 853*c to the form y + u*c and give u.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14209770151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, y: 11}. Give prob of sequence uu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -1 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -1220?\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) - -1*sqrt(110))*-3)\/sqrt(2))\/((sqrt(66) - ((sqrt(66) - (sqrt(66)*-1 - sqrt(66))) + sqrt(66))*-3)\/sqrt(6)).\nAnswer: 7*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -38. What is the units digit of (-18)\/(-14) - 8\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbygz. Give prob of sequence yz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*r + 12 = 0, 3*s + 4*r + 14 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-13)*l\/(l*l**(-6\/5)\/l*l*l)*l assuming l is positive.\nAnswer: l**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 2. Suppose 0 = j + 9 - 3. What is r(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.47 - 0.62. Let x = -0.15 + q. Let p = 0.3 + -0.2. Which is the nearest to p? (a) -0.4 (b) -3\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4713, 4712, 4711, 4710, 4709?\n\"Answer: -c + 4714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 365935229 and 48.9.\nAnswer: 365935277.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(3\/5)*l)*l*l\/(l\/(l\/((l\/(l*l\/l**(-5)))\/l*l)))*(l**(-1))**(3\/5) assuming l is positive.\nAnswer: l**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/(-5643) - (-2)\/19.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (-1 - 3 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27448 - 53225 + 28293 - 2*l**2 + (2 - 2 - l)*(4 + 2*l - 4).\nAnswer: -4*l**2 + 2516","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1847*c**6\/15 + c**4\/3 + 131*c**2\/2 - 4813*c. What is the third derivative of p(y) wrt y?\nAnswer: 88656*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12*u - 212. Let w(q) = -5*q + 75. Let m(g) = 7*l(g) + 20*w(g). Let b(j) = j - 1. What is 12*b(k) + m(k)?\nAnswer: -4*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576087?\nAnswer: 3, 192029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 7:14 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*l + 7*l - 3855 - 1015 = 2464 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 608691 - 10?\nAnswer: 608681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*g + 611*g - 28*g + 269*g + 805*g - 100*g.\nAnswer: 1474*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - t + (2 - 2 - 1)*(-3*t - t + 2*t) + (68*t + 50*t - 58*t)*(-1 + 3 - 3) + (-13*t + 6*t - 17*t)*(-2 + 3 + 1).\nAnswer: -107*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87014289 and 1542.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k = -11685 + 11637 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyy when three letters picked without replacement from {y: 18, v: 2}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 9. Let n(x) = -x + 4. Let s(p) = -2*d(p) - 5*n(p). Let v = -67 + 35. Let w = v - -34. Give s(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 6*z + 1. Suppose -12 = -0*r - 4*r. Suppose -3*q - 9 = r. Give m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*w - 48, -3*h + w = -0*h - 70. What is the greatest common divisor of h and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -228 + 2050\/9. What is the closest to -3 in v, 0, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 109*y**2 + 108*y**2 + 6.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**3 - 5*v**3 - 35*v**3 + 16*v**3.\nAnswer: -39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -76002000 rounded to the nearest one million?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6787 is divided by 89.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/4 of a year?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659910, 659846, 659740, 659592, 659402, 659170?\nAnswer: 658896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)\/h**(-5\/7) assuming h is positive.\nAnswer: h**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 6*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(931) + sqrt(475)*4.\nAnswer: 34*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = y. Let d(g) = g + 1 + y - 1 - 7. Suppose -5*c + 8 = -17. Calculate d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 3\/3*6. Sort -3, q, -4 in increasing order.\nAnswer: -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*s**6 - 391*s**5 - 522*s**3 - 40835429*s**2 wrt s.\nAnswer: 2640*s**3 - 23460*s**2 - 3132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 59*g**6\/180 - g**5\/60 - g**4\/24 - g**3 - g**2. Let w(i) be the first derivative of a(i). Is w(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/3)\/3)\/(6\/(-54)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 13. Let s be w(-6). Let q(h) = 4*h**2 + 21*h + 20. Let m(o) = 15*o**2 + 80*o + 79. Let z(r) = -3*m(r) + 11*q(r). Determine z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5505 and 176160?\nAnswer: 176160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*((n*n*n**(-2\/3))\/n*n)\/n))**(-24)*(n**(1\/12))**18)**(5\/7) assuming n is positive.\nAnswer: n**(95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5*v - 1 = -26, -6 = 3*v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 274 - 259 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109742 - (21 + -19 - -17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = 31*n + 14*r - 138 - 109, 0 = -r + 9*r - 736 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*z + 32. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -133*a*l**2*r**2 - 56773*a*l - 8*a - 404*l**2*r - 290*l**2 - 16*r**2 wrt a.\nAnswer: -133*l**2*r**2 - 56773*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 times 2\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 641 - 436. What is the remainder when c is divided by 76?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.035309 to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14 - -15)\/((-1)\/(-67)). Let z = b - -96. Let t = z + 576. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 163366 or 163374?\nAnswer: 163374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laxxaxxxsaaxaax. Give prob of picking 1 l, 1 x, 1 s, and 1 a.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -4 - (-13)\/1. Suppose -c - 10 = -3*j. Let g(h) = h**3 - h - 2. Let w be g(2). Solve -3*r - n = -20, -w*r - 2*n = -22 - j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 11. Suppose 0 = t - 15 - z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61288369 rounded to 2 decimal places?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/5 + 74*o**3 + 9866*o**2\/5 + 34574*o\/5 + 5016 = 0.\nAnswer: -20, -3, -1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a day in hours?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17820*b**2 + 962285*b - 270.\nAnswer: -5*(b - 54)*(3564*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**3 + 18437*m**2 + 132808*m.\nAnswer: 24*m + 36874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 24\/7, -0.3, -2?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 14) in base 10?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(8\/10)\/2. Let n(d) = -3*d**2 + 2*d - 2. Let m(c) = c**3 - 7*c**2 + 5*c - 5. Calculate u*m(b) - 5*n(b).\nAnswer: 2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141 + 1911. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 plus 0.924?\nAnswer: 0.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15553625?\nAnswer: 5, 124429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-96))\/((-1288)\/648 - -2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1222, 253\/8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 5*v**2 + 8*v - 6. Let f be g(5). Let m be (2 + (-123)\/82)\/((-1)\/(-34)). Calculate the highest common factor of f and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3210\/387697 or 0?\nAnswer: -3210\/387697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 32 = 0. Suppose 15*q - 56 = 14*q. Calculate the highest common divisor of q and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.6 and -132.\nAnswer: -130.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 14*a + 16. Let p be g(-13). Suppose 2*d - 10 = 3*z, -p*z - z + 27 = d. Calculate the greatest common divisor of d and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 2. Let n be m(0). What is the nearest to -2\/7 in -1\/4, n, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5767, -11522, -17269, -23008, -28739, -34462, -40177?\nAnswer: -45884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.438137998 plus 5125?\nAnswer: 5125.438137998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91090728 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12210020 - 10112?\nAnswer: 12122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 711\/(-666))*(-36)\/(-27)*(-15)\/(-50)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 23 = -5*d, 2*d = -3*r + 5*d - 21. Let u be 3 + (-6)\/2 + 3. Let h = u - r. Calculate the remainder when 10 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 - 91. Suppose 0 = 3*s - c - 8 - 5, 0 = 4*s + c - d. Solve -2*r = r - s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvn when three letters picked without replacement from dndvvdnd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from vsqvvsvvsvqqqqssvqs.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620*t + 872*t - 11080 = 384*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4212) + -3)*1 - sqrt(4212) - (sqrt(4212)*-3 + 2)) + -3)**2.\nAnswer: -864*sqrt(13) + 37972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 + 4270*v + 911645 = 0.\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/(-10))\/(3\/(-15)). Suppose c + 0*c = f. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**5\/30 - y**2\/2 + 9*y. Let w(v) be the first derivative of f(v). Let k(a) = 4*a**2. Calculate w(k(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 31*k**2. Let s(d) = 8*d**2 - 3. Determine s(y(i)).\nAnswer: 7688*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (4 - 6)) + -5 + 27 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20947 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.8 - 3.8. Let d = -0.1 + 0.2. Let c = d + -0.1. Put c, r, 2\/3 in increasing order.\nAnswer: c, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, k: 4, r: 6}. Give prob of sequence kcrc.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/140)\/(24*2\/(-640)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20148 is divided by 1105.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5132588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13075.1789697 and 2?\nAnswer: 13073.1789697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0 - 0) + -1)\/3. Let j = 0.1 - 0.1. Let n = j + -0.1. Which is the closest to -1? (a) -5 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(2))\/(sqrt(36)\/(sqrt(8)\/sqrt(2))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 12*b**2 + 2*b - 55. Calculate the remainder when g(-14) is divided by 296.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 15*z**2 - 18*z - 42. Let q be l(15). Let o = q - -312. Are 1\/332 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 77*t**2 - 15*t + 496. List the prime factors of k(-37).\nAnswer: 7, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 2*d)*(-d + 2 - 2) + 0*d**2 - 2*d**2 + 0*d**2 + 5586 - 5586 - 59*d**2.\nAnswer: -62*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*j + 43, -3*j + 38 = 13*n - 9*n. Solve -25\/4*g + n + 5\/4*g**2 = 0 for g.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*k + 74383 = 0, 3*p - 223051 = -16*k + 18*k. What are the prime factors of p?\nAnswer: 3, 5, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(0*f + 4*f + 4*f)*(-6*f + 4*f + f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*m**4 - 6*m**4 + 3*m**4 + (0 + 0 + m**2)*(-m**2 + m**2 + m**2) + m**4 + m**3 - m**3 + m**4 + 4*m**4 - 4*m**4.\nAnswer: -29*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -33733 divided by 4696\nAnswer: -33733\/4696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*g**2 - 39\/7 - 36\/7*g.\nAnswer: 3*(g - 13)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-2))\/((-7)\/14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1 + v**3 + 5 - 6*v + 7*v - 3*v. Suppose 33*h = -20*h. Determine m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v. Let j(u) be the second derivative of -u**6\/144 + 11*u**4\/12 + 16*u. Let s(z) be the third derivative of j(z). Give o(s(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 98.4 and -9?\nAnswer: -885.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from uruzrkukukuuukuk?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 95*b**2 - 182*b + 8264. What is s(94)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77650, 155294, 232938, 310582, 388226?\n\"Answer: 77644*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 880 = 2*h - 4*k, -5*k = -3*h + 528. Suppose f = -4*z - 8 + 332, 2*z - h = -4*f. Let i = -44 + z. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10071 is divided by 1006?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + 1010000?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, z: 4, t: 13}. What is prob of picking 1 t and 2 i?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 - -278. Let s = 186 - a. Solve 5*b + 35 - s = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04008 plus 51582122?\nAnswer: 51582121.95992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 z when three letters picked without replacement from {t: 7, h: 1, z: 4, f: 2}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Suppose -25 = p*m - 7*m. List the prime factors of 39\/m - (-1)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 23739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 1\/4*w**4 - 2*w + 8 - 2*w**3 - w**2. What is the tens digit of d(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -228, -202, -174, -144, -112, -78, -42?\n\"Answer: p**2 + 23*p - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 417.\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-5\/2))\/w*w**5)**(-6\/19))**(-19) assuming w is positive.\nAnswer: w**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = u + 3. Suppose -m + 4*y = -20, 0*m + 2*m - 2*y - u = 0. Is (63 - m) + -1 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -207032, -828137, -1863312, -3312557, -5175872?\n\"Answer: -207035*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 109*t + 657. Give h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175130 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -90\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -683 + 827. Calculate the greatest common divisor of 192 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/78 + (-4)\/(-6))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1294 + 1294. Let q(r) be the third derivative of d*r**3 + 3*r**2 + 1\/4*r**4 + 0 + 0*r + 1\/60*r**5. Give q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*v + 3*n, 5*v + 153*n = 151*n - 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.39. Let n = 0.4 + u. Sort -4, n, -0.2 in decreasing order.\nAnswer: n, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419 - 121 = -2*g. Let h = -104 - g. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174494 + 174494.0077259. What is v rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001106852 to 7 decimal places.\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**3 + 42780*b**2 = 0.\nAnswer: 0, 14260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.992359641 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-9)*-14*(-66)\/6160.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3536805.1 times 5\nAnswer: 17684025.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4. Let d be (0 - h)*(1 - -76). What is the highest common factor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82787, -164192, -245595, -326996, -408395, -489792?\nAnswer: -571187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-35) - ((-162)\/15)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -859 - -1242. Let a = v - 359. Solve 0 = 2*u - 2*m - 14, -a - 7 = -5*u + 3*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 8*u + 3. What is the units digit of r(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 6*h**3 - 23*h**2 + 10*h + 25. Calculate the remainder when j(6) is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4954 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 2*v + 120 - 118. Calculate r(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 0.04, 10?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2448 and 4608.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -865467, -865463, -865459, -865455?\n\"Answer: 4*o - 865471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10231133132 - -4?\nAnswer: 10231133141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z**2 - 89*z + 17. Let m be x(12). What is the highest common divisor of m and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4311105 is divided by 1331.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/4 - -23\/12. Let j = 0.069 + 0.231. Which is the third smallest value? (a) q (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (50\/(-16) + 2)*(-61)\/183. Let m be 2 - (1 - (-1)\/1). Which is the third smallest value? (a) m (b) s (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 9*m - 1. Let r be j(-8). Suppose -3*q - 8 = -r*q. Let d = -54 + 54. Solve d = q*n + 4 - 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 846*g**6\/5 - g**4\/12 - 6329*g**3\/6 + 414*g. Find the third derivative of y(q) wrt q.\nAnswer: 121824*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32036593 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9714065 litres in millilitres?\nAnswer: 971.4065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1089981757 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/8*j**4 - 45\/8*j**3 - 93\/4*j**2 - 27*j.\nAnswer: -3*j*(j + 2)*(j + 4)*(j + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 - 5)*(10*y**2 - 14*y**2 + 6*y**2).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-4 - (-9 + 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 + 410*h**2 - 576*h - 115342. Determine n(-136).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 6*a**2 + 6*a - 5. Let o be y(5). Is 2\/(o + (-10)\/(-1255)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 9141*j - 5061*j + 5 + 4 + 6.\nAnswer: -14202*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.01732318*0.1\nAnswer: 0.001732318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4468, 17896, 40284, 71638, 111964, 161268, 219556, 286834?\nAnswer: 363108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89 + 79870\/(-882))*(-2 + (1 - -13)).\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*0.6473\nAnswer: 0.122987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**5 - 4*u**5 - 5*u**5 - 3*u**5 + u**5 + 0*u**5 + (-u - 2*u**4 + u)*(u - 4 + 4).\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 224 + 29a4e?\nAnswer: 29c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.081 + -5.261. Let o = w + 4.18. Which is greater: o or -16?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 48 = -64. Let s = -559\/5 + f. Which is the second biggest value? (a) s (b) -3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*m + 3*l + 11 = 170*m, l - 7 = -m. Factor 1\/9*a**5 + 4\/9*a**2 - 4\/9*a**m - 1\/3*a + 2\/9*a**3 + 0.\nAnswer: a*(a - 3)*(a - 1)**2*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 2\/3*p**3 + 8 - 6*p - 2*p**2. Factor l(y).\nAnswer: 2*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/(-10))\/(-14))\/(13\/65)*(-54)\/1?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 17 = 5*q, -2*b = -9*q + 4*q + 14. Solve -t = 2*a + 2, 3*a + 4*t - b + 11 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -7.98. Let k = -0.3 + p. Let g = k + -0.08. Which is the second smallest value? (a) -0.2 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2 + sqrt(612) + 0 - (sqrt(204)\/(sqrt(24) - sqrt(6)))\/((sqrt(6)*1 + sqrt(6) - sqrt(6))\/sqrt(3) - sqrt(2) - sqrt(2)))**2*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9))**(6\/7)*f**(1\/3)*f\/(f*f**(-2\/21)*f))**(-12\/13) assuming f is positive.\nAnswer: f**(64\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9727 - 0?\nAnswer: -9727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -74971622 minus -4533399?\nAnswer: -70438223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3 - 5 + v**2 + 0*v**2 - 4*v. Let d be a(6). Find the second derivative of o**4 + 2*o - o**4 + o**d wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**3*w**4 - 2*l**3*w**2 - 2*l**2*w**2 + 3*w**4 + 2*w**2 wrt w.\nAnswer: 48*l**3*w + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/16)\/(((-315)\/28)\/(-5)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 10*k + 14 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40465876 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-5) - (2\/1 + -8). Solve 2 = 2*c + r, d - 3*c = 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1\/8, -9, -16, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3, 42, -2 in increasing order.\nAnswer: -3, -2, 3, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1418076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 60*s**2 - 63*s - 115. What is the remainder when 472 is divided by j(-59)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 712*l*v + 2*l - 1 wrt v.\nAnswer: 712*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6882.501 months to centuries.\nAnswer: 5.7354175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -5*f + z, -f + z - 35077 = -35091 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjchgctgtc. Give prob of picking 1 c and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034308531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 5*p**2 - 2*p - 1. Let n(i) = -i**3 + i**2 + 18. What is the remainder when n(0) is divided by u(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-6*(5*-2*sqrt(190))\/sqrt(10))**2 - (-3 + sqrt(2736) + -1)*6) + -4).\nAnswer: -432*sqrt(19) + 410520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:35 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 17*h**2 - 59*h - 88. Determine k(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/1869?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w - 6. Suppose 0 = w*g + 9 - 36. Let x be 5\/12 - 6\/9. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025125?\nAnswer: 5, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2711, -11081, -25117, -44819, -70187, -101221?\nAnswer: -137921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 2*w**3 + (3*w**2 - 2*w**2 + w**2)*(2*w - 2*w - 2*w) + 3*w**3 + 0*w**3 - w**3 - 3 + 8 - 2*w**3 + w - 4 to z*w + p + x*w**3 + o*w**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and -5008.03.\nAnswer: -5008.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 11:11 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/234 and -25\/9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/48 and 23\/54*(7 - 952\/187).\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - -1270748?\nAnswer: 1270759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 16.5.\nAnswer: 82.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n. Let z(j) = -7*j**2 - 5*j. Let r(y) = -4*y**2 - 3*y. Let l(o) = 5*r(o) - 3*z(o). Calculate l(f(c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6367462302 and -60.\nAnswer: 6367462242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9146, 18379, 27612, 36845, 46078?\n\"Answer: 9233*x - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2 = -7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10423, -20859, -31305, -41767, -52251, -62763, -73309, -83895?\n\"Answer: -p**3 + p**2 - 10432*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -54, -42, 20, 150, 366, 686, 1128?\nAnswer: 1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:31 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*h - 311 = 34*h + 520627. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d + 1. Suppose 0 = -q + 4*g - 5, -2*g + 0 + 3 = -q. Let m be u(q). What is the tens digit of ((-2)\/3)\/(m\/(-204))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*x + 80*x - 35*x)*(-x**2 - 8*x**2 - 4*x**2 + (0*x + x - 3*x)*(0 + 2*x + 0) + 3 - 3 - 2*x**2).\nAnswer: -513*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 983*c**3 + 986*c**3 + 2*c - 1967*c**3 - 2*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/1365*13)\/((-2)\/(-280)*-1). Put -3, -4, j, 3 in increasing order.\nAnswer: -4, -3, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 2. Let x = 159 + -91. Suppose -4*o = -x - 16. Suppose -4*n + 3*v - o = -9*n, -2*n = 4*v - 14. Let h(l) = l - 3. Give n*f(d) - 2*h(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 26023.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 18*m**2. Let s(y) be the first derivative of y**2 - 13. What is u(s(b))?\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o + 16 = 0. Suppose 4*y + 17 = -b, -o*b - 2*y - y = 3. Is 0\/(-1) + b + 158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 20*v - 110. Suppose 0 = -v*z - 4*x - 9 + 6, -5*z + 1 = 2*x. Which is the biggest value? (a) z (b) -1 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4733*p + 4735*p. Solve 72 = -p*w + 93 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -93*u - 544. Calculate q(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 35) + -27 + -5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-7))\/((-25)\/(700\/8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**2*u + 480*g**2 - 267*u wrt u?\nAnswer: -g**2 - 267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162.1 + -162. Let x = 0.509 + -0.009. Which is the biggest value? (a) -2\/11 (b) n (c) x (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990969325?\nAnswer: 5, 79638773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**6\/6 - 3*s**5\/5 - s**4\/2 + 220. Solve c(a) = 0 for a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + s - 2*s + 0 + 2*s + 0 - 2 + 2 - 2*s + (-2*s - 2*s + 5*s)*(1 + 1 - 1) - 1137*s - 3025*s - 1404*s to the form k + u*s and give u.\nAnswer: -5563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4, -6, -1 in descending order.\nAnswer: 4, -2\/5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**3 + 2*o**2 + 3*o + 2. Let b be r(-1). What is the greatest common divisor of b and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Suppose -2*z - 2 = 3*k, -3*z - 2 - 2 = 5*k. Sort -4, y, z in increasing order.\nAnswer: -4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 4*x**2 - 11*x - 1. Let o be z(6). Suppose 0 = 3*m + 5 - o. Suppose -3*b + m*b - 44 = -2*t, -3*b + 4 = t. Solve t = -3*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2)\/a))\/a*a*a**(2\/7) assuming a is positive.\nAnswer: a**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -64.08. What is the second smallest value in 5\/3, z, 4, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 5. Suppose 2*h + 21 = -h. Let j be f(h). Let p be (-1)\/(-2) - (-5)\/j. Let v(a) = a**3 + 4*a**2 + 3*a. Determine v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let g(n) = -27*n - 58. Let u be g(-10). Let q = 215 - u. Solve 2*r + 2 = 2*m, f*r - 4*m + q + 1 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*y + 17 = 0, -2*y - 3 + 11 = 0. Let q = 39 + d. Calculate the remainder when 19 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-3)*-13*6\/(-4) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.177 (b) -0.09 (c) -1025 (d) -0.2 (e) -2\/19 (f) -0.1 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/(-24))\/(2\/(-8)). Solve k = -2*k + p*g, 21 = 4*k + 3*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379417339?\nAnswer: 7, 17, 31, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (-7 + (3 - -10))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86190\/2533986*-3*(-1)\/(-5).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -96*b. Let i(c) = c**2 + 4*c - 1. Let l(s) = -63*s**2 - 216*s + 54. Let m(y) = 54*i(y) + l(y). Determine m(a(r)).\nAnswer: -82944*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -636 (base 7) in base 13?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -5 (c) -6.449 (d) 0.7 (e) 181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**4\/24 - 2*b**3 + b**2. Let d be x(-14). What is the second derivative of -4*s + d*s**3 + 3*s**3 - 3*s + 6*s wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 5*z + 8 + 3 - 13.\nAnswer: 5*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 6*x**2 + x + 5. Let o be -4*(-6)\/32*-8. Let c be w(o). Is (-15)\/5 + (20 - c) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 37. Suppose 0 = n - 4*n - 3*q + 27, 0 = n + v*q - 13. Calculate the highest common divisor of 48 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*t - 4*v, 0 = t + 7*v - 5*v - 5. Factor -2*x**t + 1360*x**2 + 4*x**4 - 1360*x**2 - 2*x**3.\nAnswer: -2*x**3*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (7 - 3) + 7 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + 0*b)*(-105*b + 234779 + 21*b - 2*b**2 - 234781).\nAnswer: 6*b**3 + 252*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5380 divided by 13683?\nAnswer: 5380\/13683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-132 + 19 - 62)*(-6 - 9*f + 5 + 32*f) in the form j*f + s and give j.\nAnswer: -4025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1040*c - 390*c = -6984 - 4066 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(77)*-3 + sqrt(77))\/((sqrt(110) + 5*sqrt(110) + sqrt(110))\/sqrt(10)).\nAnswer: 16*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000268741 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**5\/2 + 7*o**4\/6 - 5234*o**3\/3 + 42142*o**2 - 335488*o\/3 - 1218560\/3 = 0.\nAnswer: -70, -2, 17\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 - 10 = 0. Let d be 46\/14 + (-4)\/14. Find the second derivative of -2 - 2*x**2 + a + 1 - d*x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 = 7. Let m be (-253)\/(-33) + s\/6. Let w = -34 + 38. What is the greatest common factor of w and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.179 or -0.5?\nAnswer: -12.179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 575605421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 62\/21627?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 44*r**2 - 5 + 1 + r**3 + 41*r**2 to g*r**2 + u + j*r**3 + d*r and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w + 1. Let s(m) = m. Let y(k) = k + 1. Let l be y(5). Let z(x) = l*s(x) - f(x). What is the first derivative of z(h) wrt h?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 126 - 18. Suppose -q*w = -5 - 13. Let l be (w + -3 - 3\/1)*1. Which is smaller: l or -37\/7?\nAnswer: -37\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -317*x + 3221. Let m be h(10). What is the third smallest value in 2, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**7\/42 - 723*v**5\/20 - 10685*v**4\/12 + v**2 + 152*v - 5. Find the third derivative of j(m) wrt m.\nAnswer: 60*m**2 - 4338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*2 + -3 - sqrt(72))*2 + 5)**2.\nAnswer: -24*sqrt(2) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/416 and -48\/11?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Solve -x + 5 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-1 + 1 + -3). Suppose d = -6*u + 2*u + 14, 3*u + q*d = 17. Suppose -25 - 3 = -4*z. What is the remainder when z is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-19)\/r*r**(-18)*r assuming r is positive.\nAnswer: r**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/7))**(-8\/3) assuming j is positive.\nAnswer: j**(-40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 396 and 29898.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1743 is divided by 143?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -11.6. Let w = -1.9 - 0.9. Let g = y + w. What is g rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 - 4*v. Let d(r) = -3*r**2 - 4*r - 1. Let s(q) = -3*d(q) + 2*w(q). What is s(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*y + 87*y - 60 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*z = 56*z - 124*z - 12200 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 708 = 840. Let b(i) = 10*i**2 + 14*i + 71. Is b(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.5, 2\/5, -35, 7\/6, 2\/1765?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ldddllldld?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 18*r - 12. Let x be n(19). Let b(f) = f**3 - 6*f**2 - 6*f - 1. What is the remainder when b(x) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -2)\/((-2)\/(-27)). Let l(b) = b + 2*b**3 + 89 - 27*b**2 - 2*b + z*b**2. What is the tens digit of l(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/140*4\/4*-6.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 54*p**2 + 53*p - 154. Determine m(-53).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 86.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178698 and 2113566?\nAnswer: 6162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6085 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 - (0 - -2)) + -5. Suppose -q = 170*z - 173*z. Solve r = -4, -v + 4 + 3 = -z*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than or equal to -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1141*x**2 - 570*x**2 - 565*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1)\/(19 - 20) + -1. Suppose 16*a - 15*a - 32 = w. What is the greatest common divisor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.3 (c) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1))**(-10\/17)\/(i*i*((i\/(i*i*i**(-1)*i))\/i*i*i)\/i)**38 assuming i is positive.\nAnswer: i**(-656\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**5\/20 - x**4\/12 + x**2\/2 - 2*x. What are the prime factors of m(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*k - 53*k - 96*k - 7 + 5*k + 7 + (-2*k + 0 + 0)*(0 + 0 + 1).\nAnswer: -170*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430.2562 rounded to 0 decimal places?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112932286 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*c - 2912, 2*r + 2*c = 4552 + 1320. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 12:41 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 327*l - 329*l + 77 + 268 to t*l + d and give d.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g. Let d(c) be the third derivative of -c**6\/180 + 5*c**4\/6 - 20*c**2. Let a(v) be the second derivative of d(v). Give z(a(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51438299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 64, 86, 110, 136, 164, 194?\n\"Answer: q**2 + 19*q + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -62*k**3 - 4*k**2 + 2*k + 4. Let z(w) = w**2 + 3 - 5*w + 2*w - 5*w. Let r be z(8). Let j be b(r). Round j to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10*k + 3 + 0 + 40*k - 7.\nAnswer: 30*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/((-6)\/(-8)))\/(-2). Let c be 82\/636 - a\/(-12). Suppose -4*m + 11 = -5, 3*m - 12 = 2*x. Which is greater: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.249449g to micrograms.\nAnswer: 249449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (890 - 13) + 9 + -1.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = 3*a - 4*k, -k = 0. Suppose 3*v - 4 - a = 0. Let b be (4\/4*-8)\/(-2). Solve -v = 3*c + b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*s + 34 + 86. Suppose s - 16 = -3*u. Solve -u*g - 7 = 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 5735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22605662.29 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 655677497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9947 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -14 - 4) + 29 + 14?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00104542 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 793\/2702 - 3\/386. What is the fourth biggest value in 0.3, -5, 5, q, -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1258 + -5.1258. Which is the third biggest value? (a) 0.1 (b) 87\/44 (c) 4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 374*m + 2239. Determine n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*(-10 - (11 - -17)). Solve -16*k - j = -2*v - 11*k, 0 = 4*v - 4*k - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-2)\/2 + 2. Let w be y - 1 - 10\/(-2). Suppose 5*i - 40 = 4*p, 3*i + 0*i - w*p - 11 = 0. What is the remainder when 23 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 - 35 + 22 - w**2)*(3 - 1 + 0) in the form x*w + o*w**2 + p and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46606b - 13?\nAnswer: -466080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l**3 + l**2 + l - 1. Let p be b(1). Let n = 43 - 43. Suppose n = -p*y + 9*y - 68. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*g**2 - 15*g**2 - 179*g**2 + 96*g**2.\nAnswer: -310*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7 - 18*q**2 + 7*q + 7*q - 17*q**2 + 36*q**2. Let o be s(-16). Suppose -o = 2*p + 3*p, -10 = -4*g + 2*p. Which is smaller: -1\/8 or g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 64. Suppose z*v - 1 = 5. What are the prime factors of (-305)\/(-3) - v\/3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 10*u - 14. Calculate the remainder when 2 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*q - 98*q = 54. Factor 50*p - 22*p**3 + 5 + p**3 + 45*p**2 - q*p**3 + 10*p**3 - 20.\nAnswer: -5*(p - 3)*(p + 1)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:24 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6514 is divided by 144?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**7\/2520 - t**6\/180 + t**5\/30 - 5*t**4\/12 + 4*t**3\/3 - 107*t. Let s(w) be the third derivative of k(w). Give s(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 2\/314035, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -12*g - 86. Let h be v(-7). Let p be (-488)\/644 + 4\/(-14). Are p and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*2\/(-16))\/(2\/(-16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:00 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 2 - 1)\/(1\/2). Let s(p) = -m*p + 14*p + p. Determine s(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 162*f**2 + 171*f - 615. Give o(82).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/5*7163\/26*10.\nAnswer: 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891063118?\nAnswer: 2, 11, 3682079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/(-63)*7\/2. Suppose 0 = u - 71 - 7. Let z = -230\/3 + u. Are z and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.27 + -1.266. Let m = 2.9866 + 0.0094. Let t = g + m. Which is the third biggest value? (a) 4 (b) t (c) -3\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 653*j - 398. Let f(r) = -3264*r + 1975. Let s(d) = -4*f(d) - 22*z(d). Differentiate s(y) with respect to y.\nAnswer: -1310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 47*w**2 - 3*w. Let z = 66 - 63. Does 18 divide v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*45\/465 - (4612\/(-1550) + 3)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*b - 27 = 0, 4*b + 10 = 2*c + 6*b. Let o(u) = -u**3 + 6*u**2 + 6*u + 1. Give o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*((sqrt(180) + -2 + sqrt(180) + sqrt(180))*1 + -3 + -1).\nAnswer: -60 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -17*i**2 + 80*i + 60. Give y(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840986.4 millilitres to litres.\nAnswer: 840.9864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02271 - -0.22271. Which is the closest to 0.186? (a) d (b) 0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33688981217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6645597 and -68\/651.\nAnswer: 206013507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 40*a - 1. Let x(t) be the third derivative of -t**4\/24 - 2*t**3\/3 - 2*t**2. Let l be x(-5). Calculate the remainder when b(l) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -279937 and -0.06541402.\nAnswer: -279937.06541402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 896, 982, 1068, 1154, 1240, 1326?\n\"Answer: 86*r + 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 789 or -34861?\nAnswer: 789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -44. Let z = 0.01 + -0.01. Which is the third smallest value? (a) z (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 78544 + 17234 = 0. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 2 t when four letters picked without replacement from {t: 3, i: 3, u: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1166)*19*308\/(-2128).\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - -13.7. Let h = 19 - u. Which is the closest to 1? (a) h (b) -0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - q + 38 = 0, 0 = -2*r - 3*q + 1730 - 1633 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32023.21ml to litres.\nAnswer: 32.02321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -142498, -1, -0.1.\nAnswer: -142498, -2, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*p - 31*p + 10. Suppose 3*z - p*f + 95 - 311 = 0, 144 = 2*z - 3*f. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 + (-147)\/(-28). Suppose -p + 12 = v, -3*p + j*v - 4 = -0*p. Solve 0 = -2*r - 2, -4*r + 2 = l - p*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 6*t**2 - 4*t**2 + (4*t + 3*t - 2*t)*(1 - 1 + t) + (t + 2*t - 2*t)*(-6*t - 81*t - 33*t) as v + n*t + m*t**2 and give m.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1037 = -4*x, 3*b - 669 - 353 = x. Calculate the remainder when b is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 407 - -614. Calculate the remainder when q is divided by 328.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -5, -15, 0, 2 in decreasing order.\nAnswer: 32, 2, 0, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**3 + 0 + 3 - 22*r**3.\nAnswer: 6*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i + 8. Is (3 + i)\/((-2)\/(-10)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3558, 3594, 3612, 3606, 3570, 3498, 3384?\nAnswer: 3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, p: 2, k: 1, t: 7}. What is prob of picking 3 t and 1 k?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 69 = -201. Let x = q + 65. What is the highest common factor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3425316 greater than -3425316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 1108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + d?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 9, -5 in ascending order.\nAnswer: -8, -5, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/3 + 14908520*j\/3 + 27782996073800\/3 = 0.\nAnswer: -3727130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -20, -30, -40, -50?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 - 30*c**2 + 16*c**2.\nAnswer: -26*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + c - 289, -2*c - 2 = -0*c. Let y = 2 + 1. Suppose -y*i - k + m = 0, -i = i + 5*k - 43. Calculate the remainder when i is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556124 (base 7) in base 10?\nAnswer: 98165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -330720 times -0.4?\nAnswer: 132288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 + 4*t**2 - 4*t + 2. Let m be a(2). Let j(p) = -1. Let r(s) = s**2 + 4. Let y = -398 - -396. Give m*j(w) + y*r(w).\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**(-2\/5))*n))\/n)**(27\/7)*(n**(2\/5))**11*(n**(-4)*n)\/n*n*n\/(n\/(n**(-5)\/n))*n\/((n\/((n*n**(3\/2)*n)\/n))\/n*n)*n**8 assuming n is positive.\nAnswer: n**(251\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2215340 by 862.\nAnswer: 2570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 6:17 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 - 2*w**2 - 222 + 2*w**3 + 65*w + 256. Is 24 a factor of b(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*f**4 - 2189*f**3 - 150*f**4 - f**2 + 985*f**3 as c + y*f + b*f**2 + s*f**3 + j*f**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1 = -13. Let k be l\/5 + 37\/(-5). Let g = k - -11. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1814428 and -52\/35.\nAnswer: 9072140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69989312*r**2 + 0*r - 69989243*r**2 - 2*r.\nAnswer: 69*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 4321?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 17*v**3 - 2. Let c(o) = 120*o**3 - 15. Give 2*c(b) - 15*q(b).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.013 in 7, 2\/32071, -1?\nAnswer: 2\/32071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/27 and 23\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 78\nAnswer: -5\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 212*h + 6 - 2 - 18*h.\nAnswer: -230*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) - sqrt(225)*-2*-2)\/(sqrt(108)\/(sqrt(16)\/sqrt(4))).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 8*c - 1. Let j = -17 - -5. Let w = j + 20. Let p be m(w). Is p < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 41*h + 1. Let r(j) = -80*j - 1. Give 5*m(b) + 3*r(b).\nAnswer: -35*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -982.97697795 - -388.97697552. Let f = p - -594. What is f rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12740 and 206570?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 10:16 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 1, 0 = -w + z + 3. Suppose 5*s + 5*r - 15 = -0*r, w*r - 9 = -s. Let h = 3 + 8. Calculate the greatest common divisor of h and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*a - 146 + 187*a**2 + 2 - 184*a**2.\nAnswer: 3*(a - 12)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 2*h + 1. Let k be n(-1). Let b(y) = -y**3 - 2*y**2 - 3*y - 2. What is b(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13818\/19740 - (-20)\/(-32).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-2 - -1))\/1. Let l = y + 9. Put 0, l, -5 in descending order.\nAnswer: l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -755 + 758. Let z(b) = 3*b**2 + 7*b + 4. Let k be z(-4). Calculate the highest common factor of j and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 37 + 88*l - 21*l - 38.\nAnswer: 67*l - 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(272))**2 + 0 + (-1*sqrt(272) + 5)**2.\nAnswer: -40*sqrt(17) + 7097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 5:06 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -792, -1280, -2158, -3462, -5228, -7492, -10290?\nAnswer: -13658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and -80127?\nAnswer: -264419.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 39\/4?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*q**(-10) assuming q is positive.\nAnswer: q**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25 = 2*p, u = 3*u + 2*p - 10. Find the third derivative of -2*i**3 - u*i**3 - 6*i**2 + 10*i**2 wrt i.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4244 and 18?\nAnswer: 38196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 2)*((2*l - 1 + 1)*(-7*l**3 - l**3 - 12*l**3) + 611*l - 611*l + 23*l**4) in the form h*l**4 + y*l**2 + a*l + m*l**3 + n and give h.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f + 69. Let w be m(6). Suppose -3*a - u + 19 = 0, -a + u - 8 = -w. Solve 3*h + a = -5*z - 8, -4*z + 4*h - 36 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 24788*u - 74400.\nAnswer: 4*(u - 3)*(u + 6200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 572*g + 40898.\nAnswer: 2*(g + 143)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1527670*u**2 + 1212969*u - 1.\nAnswer: 3055340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -18*c. Let k(u) = 6*u**2. Give t(k(w)).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**7\/70 + h**5\/20 - 6*h**2. Find i such that d(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/6*2\/(-6). Suppose 8*z + 34*z**3 - 30*z**3 - 24*z**g + 28*z = 0. What is z?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -169436*k**2. Let w(i) = -200*i**2. Determine w(g(y)).\nAnswer: -5741711619200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22251877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 532410?\nAnswer: -532402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 2 - (3 + 5 + -192 + 194).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5716\/44121 - -133\/382. Find the common denominator of 11\/2898 and j.\nAnswer: 31878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Suppose 6*c - 15 = c. Suppose 0 = k*q + c*q - 25. Solve 5*y - q*j - 27 + 7 = 0, -2*y - 3*j - 17 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -614 + 637. Let x be -3 - -1 - -1*71. What is the greatest common factor of x and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 13 = -d + 5, 112*f - 18*f - 188 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 3. Suppose -d*u + 53 + 127 = 0. Let y = -10 + u. What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4236*z - 410893. What is u(97)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyr when three letters picked without replacement from crcyycxxyxxyxx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180) - (4 + sqrt(5) + 2))**2.\nAnswer: 156*sqrt(5) + 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 1412*b**2 - 7 + 9 + 9 - 778*b**2.\nAnswer: -2190*b**2 - b + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 10*x**2 - 8*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54927 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 11. What is the closest to 0 in -4, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -105 + 105. Sort 12, d, 5 in descending order.\nAnswer: 12, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*y**2 + y + 12 + 78*y**2 + 107 + y + 0*y to the form i + h*y + z*y**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/30 - 4\/(-120). What is the closest to -0.1 in -2, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 42*d**2 - 44*d - 90. Determine n(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5372 - 2?\nAnswer: -5374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -67, -48, -11, 50, 141, 268?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 269, 552, 831, 1106, 1377, 1644, 1907?\nAnswer: 2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29898 - (-216)\/144*-16*2\/(-6).\nAnswer: 2, 19, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -52302, -52311, -52334, -52377, -52446, -52547?\n\"Answer: -k**3 - k**2 + k - 52301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61.2 + 67. Let x = 0.8 - u. Which is the second smallest value? (a) x (b) 3\/5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -9. Let f(x) = -19725*x**2 + 4*x + 1. Let k be f(l). Let q = k + 2517688. What is q rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, o: 1, r: 1, k: 3}. What is prob of sequence ks?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 8*u**2 - 5*u + 10. Suppose -4*k - 31 = -2*r - 235, -k + 58 = 3*r. Let o = -59 + k. What is x(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 1, -5 in descending order.\nAnswer: 24, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**4\/4 + x**2 + 2*x - 19. Let c = -3 - -5. Let v(s) = 4*s**3 + 9*s + 9. Give c*v(y) - 9*i(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602534, 1204665, 1806782, 2408879, 3010950, 3612989?\nAnswer: 4214990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 661915 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -7*c**5\/20 + c**4\/8 + c**3\/2 + 15*c**2. Let k be f(-1). Let o = 56 + k. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5)*(-20)\/(-8)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 16*g - 483. Let d be (0 - -2)*11\/((-286)\/(-91)). Let z(p) = -7*p + 241. Let j(v) = d*z(v) + 3*c(v). Let q(t) = t**2. What is j(q(u))?\nAnswer: -u**2 + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:52 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*(-1 - -3). Let k(b) = -b**2 + z*b**2 - 9 - 3*b - 4*b + 0*b. Suppose 3*s - 21 = 3*j, 3*s - 2*j = 2*j + 20. What is k(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + 5*i**2 - 2*i. Let r = -6 - -6. Let p(j) = 8*j**2 + r*j**3 - 7*j**2 - j**3. What is -5*p(v) + y(v)?\nAnswer: 3*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11109?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(2) + sqrt(4)\/sqrt(2)) - sqrt(54)\/sqrt(2)*-4)**2.\nAnswer: 2187\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358419, 355021, 351625, 348231, 344839?\nAnswer: 341449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7325574 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 486\/3)\/(-19 - (-67 - -46))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 2e?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 113, -19 in decreasing order.\nAnswer: 113, -2, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526, -547, -586, -649, -742, -871, -1042?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 6*k - 4. Let g be p(-5). Let o be g*(3\/3 + 0). Sort 0.2, -0.4, o.\nAnswer: -0.4, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10079783 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75797 is divided by 37035.\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 31*m - 4. Let r(k) = 77*k - 10. Let b(d) = -2*r(d) + 5*v(d). Let l(t) = -6109*t**2. Give l(b(o)).\nAnswer: -6109*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -40*s - 64. Let h be d(-6). Let j be (-1)\/(-5 - h\/(-36)). Suppose -2*r + 2 = -2. Solve x + 5*c = -4*x + 15, r*x = c + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.35699cm in nanometers?\nAnswer: 423569900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2 + sqrt(112)*3 + 1)*-5)**2.\nAnswer: -1800*sqrt(7) + 25425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020424 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*j = 3, -2*n + 4*j = -0*j + 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 8526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-2))\/(24\/(-32))*-14. Let k = r + 36. What is the common denominator of -76\/3 and (17\/k)\/(12\/18*-1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147 + 149. What is the third smallest value in 1\/2, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-450)\/300*2\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let j be (-2)\/7 + (-3795)\/(-77). Suppose -5*k - 19 = -j. Let x(g) = -g**2 - k*g + 6*g + 3*g**2. Give b(x(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.37010381 rounded to 0 decimal places?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -161, -193, -245, -317, -409, -521, -653?\n\"Answer: -10*s**2 - 2*s - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {j: 15, m: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**3 + z**2 - 6*z + 5. Let m(p) = -p - 2*p**3 - p**2 - p**3 + 3 - 6 + 4*p. Let l(q) = 7*m(q) + 4*v(q). What is f in l(f) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2970 = 12*v - 9*v. List the prime factors of v.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.9, -5.1, -2\/7, 0.4?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 - 81*q**4 + 8*q**4 + 3*q**4 - q**4 - 3*q**4 + (1 + 2*q**4 - 1)*(3 - 3 + 1).\nAnswer: -68*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {f: 1, j: 5, q: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, -229, -577, -1065, -1693, -2461?\n\"Answer: -70*z**2 + 2*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 6. Let k be l(-5). Suppose k*d = -5*a - 0 + 24, -12 = -3*a. What is the least common multiple of (-36)\/(-2) - (-1 - d) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-12.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*s + 125, -5*s = i + 4*i - 620. Calculate the greatest common factor of i and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**9\/7560 - z**8\/1680 - 49*z**4\/24 + 74*z**2. Let m(s) be the second derivative of o(s). Factor m(n).\nAnswer: -2*n**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) + (-11)\/22. Let h(c) be the first derivative of -1\/2*c**4 + z*c - 1 - c**2 - 4\/3*c**3. Find y, given that h(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, 35, 73, 95, 95?\n\"Answer: -h**3 + h**2 + 52*h - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**4 - 15*u**3 + 60*u**2 - 60*u + 18. Suppose 28*x = 31*x + 18. Let r(d) = d**3 + d**2 - 1. Let j(l) = x*r(l) + g(l). Factor j(a).\nAnswer: 3*(a - 2)**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 14424*n**2 + 6082*n**2.\nAnswer: -8342*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n**(-5\/4)\/n)\/n)\/n)\/n)**(2\/63) assuming n is positive.\nAnswer: n**(-17\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/17 - 13134*q**2\/17 - 26262*q\/17 - 13130\/17.\nAnswer: -2*(q + 1)**2*(q + 6565)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -25, -37, -43, -37, -13, 35, 113?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -481846 = -481851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 144767435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -86. Let s = x - -28. Let m = -0.1 + -0.1. Put m, s, -1 in descending order.\nAnswer: s, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1764 and 1813?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-891)\/1144 - (-2)\/13. Let i = a - -1\/40. Put -0.4, -5\/3, i in decreasing order.\nAnswer: -0.4, i, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 u, and 1 p when three letters picked without replacement from uipacppcuciicpcci.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -15*k - 18. Let o be h(-12). Suppose -f + 40 = -p, -p + o = 4*f - 3*p. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(3\/5)*y*y*y*y**9)\/(y**(-7)*y\/y**(3\/7)) assuming y is positive.\nAnswer: y**(659\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/3)\/(m*m\/m**(-2)*m))**(12\/7) assuming m is positive.\nAnswer: m**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 72. Suppose -33*p = -j*p. Is -1\/2 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(153) - (-1 + sqrt(153))**2*-1 - (4 + -1*sqrt(68))**2)).\nAnswer: -67 - 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 0 + 46 + -54.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3732 (base 12) to base 2.\nAnswer: -1100001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 56. Let c = 6498 - 6497.4. What is the second biggest value in l, 2\/15, c?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 351.499 - 0.699. Let j = -351 + y. Which is bigger: -16 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from zzhajjuzhjzhlhjajjl.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38687 - -41902. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*l + 1294, 142*o = 141*o + 1. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28506799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 4 (c) 12\/5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 308796 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s - 4*s)*(-s + 35 - 35)*(21 - 21 - 14*s**2).\nAnswer: -42*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, -28, -5, -4, -3\/5 in decreasing order.\nAnswer: 6\/13, -3\/5, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 + b**2 - 1. Let h be m(-1). Let j be (-6)\/1 - (-1 + 1). Let o be (6 + 0)\/(j\/h). Calculate the highest common divisor of o and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxl when three letters picked without replacement from {g: 3, l: 3, r: 1, t: 1, x: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 5*i - 18, 4*f - 4*i - 5229 = -5205 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*t**2 - 3*t**2 - 5*t**2 + (2*t**2 - 2*t**2 + 2*t**2)*(3 + 2 - 4) + 2*t**2 + 0*t**2 - 3*t**2 + (2*t - 2*t - 2*t)*(1 - t - 1).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a. Let y(b) = -b**3 + 8*b**2 - 6*b - 3. Let u be y(7). Let m = -1262 - -1264. Let h(j) = 0*j**2 + 15*j**m - u*j**2. Calculate h(x(w)).\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/4, -3, -5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515 - 325 - 178 - 229 = -626*v - a, -20 = 4*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/3)*k))\/(k\/(k*k**(-3\/7))))**(15\/2) assuming k is positive.\nAnswer: k**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 285 + t**2 + 289 - 574. Let z(k) = 4153*k. What is z(r(j))?\nAnswer: 4153*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/(64\/(-588)) - (-3 - -1). Let v = -143 - n. Solve v = -i - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(-4)\/(-800)*(2624\/451)\/32.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 340 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/((-39)\/(-52)) - 1125\/550\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*c - 180*c - 586 + 31*c + 29*c + (-1 - 1 + 1)*(-c - c + 3*c) as z*c + s and give s.\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18.141957+-182\nAnswer: -163.858043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (48 + (-3 - 3) + (1 - 10)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 251474, 1, 13 in descending order.\nAnswer: 251474, 13, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/2 of a meter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -5*p + p. Let g be 5\/(5\/42) + (-3 - 0). Let f = g + p. Solve 3*c - f = 7*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273224947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjjghfhghghgj. Give prob of picking 2 j and 1 h.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(99) + (sqrt(99) - 1*sqrt(99)))*-6 - (sqrt(77) - -4*sqrt(77)*1)\/((sqrt(168)\/sqrt(4))\/sqrt(6))*3.\nAnswer: -69*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101720771 times -0.1?\nAnswer: 10172077.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 64114 = -38442 + 8242. What are the prime factors of b?\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*v - 9324 + 1524 = 171*v for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 626 (base 7) to base 2.\nAnswer: 100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -11. Which is the nearest to k? (a) 0 (b) 0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*o = -70 + 7, 349274*c = 349275*c + 5*o - 55 for c.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3097*w**2 + 117666*w - 117666*w - 3097*w**2 - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 377290 and 377293 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -0.4 (c) 33 (d) 3\/58 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 0.04, -3, 0.505, -0.069, -0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187, -309, -445, -601, -783, -997, -1249?\nAnswer: -1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 7*w**2 - 6*w - 5. Let l be o(5). Suppose 6*h - 15 = 3*h. Suppose 5*d - l = -h. Solve -5*k + 3*k = -d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 693 + -703. Let g = -17 - -53. Let l = g + x. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3 + 5 - r**2 - 2. Let d(k) be the third derivative of -k**5\/6 + 2*k**3 + k**2. Let g(h) = -h**2 + 1. Let t(y) = -d(y) + 12*g(y). Determine n(t(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {x: 1, s: 2, t: 7, p: 4}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9975 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 117, -3, 5, -20, 1, -0.002?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*-1 + 0.\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + b + 0 + (6*b - 3*b - b)*(-3 + 3 - 1) + 2588*b - 1576*b + 1607*b + (-b - 3 + 3)*(1 + 1 + 0) to l + h*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.4 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/15 + 164533426*b\/15 + 164533424\/15 = 0.\nAnswer: -82266712, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12610219*h**2*s**3 + 2*h**2*s**2 - 3*h**2*s - h**2 - h*s**3 + 86351*h*s - 2*s**2 wrt s?\nAnswer: -75661314*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*((0 + sqrt(448) + -1)**2 + 1).\nAnswer: -32*sqrt(7) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1235428 divided by -3?\nAnswer: 1235428\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**3\/3 - 5*m**2\/2 + 5*m - 4. Suppose -4*z + o + 4 + 18 = 0, 3*o = -z + 12. What is the units digit of i(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67409?\nAnswer: 67409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 13) to base 6.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*u - 962 = 346*u - 281*u - 12140 for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(4\/3*-7*(-45)\/(-210))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 2:32 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 take away 3.231?\nAnswer: -5.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/383608 and -42\/5?\nAnswer: 1918040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 24*q**2 + 57*q - 18. What is s(5)?\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 178.7 + -209. Let o = -1.7 + j. Let d = o + 32.0000082. What is d rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69 and -123.\nAnswer: 8487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -85449994\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**3 - c**2 - c + 1. Let y be t(1). Let l be -8*(y\/2 + 2). What is the units digit of l\/(-14) + (-9)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (128 - -52)*((-4)\/(-50))\/1. Factor -2\/5*n**2 + 24\/5*n - d.\nAnswer: -2*(n - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 - -46) + -11 - (-7 + 1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgrx when four letters picked without replacement from xxgrxrrxg?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 757 = -4*z - 1389, 0 = y - 5*z - 446. Calculate the remainder when y is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -13*p. Let h(m) be the first derivative of -337*m**2\/2 + 11529. Determine a(h(i)).\nAnswer: 4381*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.09 times 0.47?\nAnswer: -0.9823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**34\/(p\/(p**(-2)*p)) assuming p is positive.\nAnswer: p**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 8*s**2 + 5*s + 13. Determine q(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6541 + -6540.9994234. What is q rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2. Let j(z) = -100*z**2 - 1. What is j(d(p))?\nAnswer: -400*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -74*m**2 + 303*m - 2499. Determine z(9).\nAnswer: -5766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 578\nAnswer: -1\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l = 202 - 664. Solve l = -8*j + 38 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 913789388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3043 = -12256. Let b = q + 6309. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 63575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-76 + 76 - 93731*o**3 + 3418*o**2 - 3418*o**2).\nAnswer: 187462*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52981 - -26013641\/491. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + (3 + sqrt(147)*-2 + sqrt(147) - (sqrt(147) + -1)*-6))**2.\nAnswer: -490*sqrt(3) + 3729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, -1\/6, -7.3261, 1\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -21. Let a(u) = -3*u - 10. Let p(t) = -t - 3. Let y(g) = j*a(g) - 7*p(g). Let v be y(4). Solve -3*f + 19 = c - 8*f, 17 = -v*c - 3*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 9*z = 46. Suppose -17*g + z*g = 24. What is the remainder when 13 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -254 and -6?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 700 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q - 158283 - 142797 = 0. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 82*x - 91. Calculate z(-40).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 minus -2219682508?\nAnswer: 2219682448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2258 or -2265?\nAnswer: -2265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -65, 4, 5 in decreasing order.\nAnswer: 5, 4, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30750 divided by -41.\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 919, 1844, 2775, 3712, 4655, 5604?\n\"Answer: 3*h**2 + 916*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -6, -1\/8, -7\/4.\nAnswer: -6, -5, -7\/4, -1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230211133 (base 4) to base 10.\nAnswer: -182623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + -5.73. Let l = -6 - s. Let o = 0.2 + l. Is 0 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449010391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160843a (base 12) to base 7.\nAnswer: 53123233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*r + 2*m + 25, -5*r + 24 = -4*m. Suppose -r*o = 8, q + 0*q = 5*o + 10. Suppose -25 = u - 6*u. Solve 4*g - u - 15 = q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:05 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -10*b - 20 + b**2 + 0*b**2 + 52. Let j be 3*(-1)\/(-4) + 609\/84. Let k be m(j). Solve -3*p = p - k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 163346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3290 - 559 + 3849 - 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 10*x + 6. Let g be k(10). Let u(o) = -o - g*o + 0*o + 8*o. Let q(t) = 6*t. Determine u(q(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3705 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 21 = -4*f, 4*f - 5*g = -0*g - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u**3 + 2*u. Suppose 0 = -127*w - 47 - 461. Let d(j) = 81*j**3 - 21*j. Determine w*d(c) - 42*h(c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7366*w - 52*w**3 - 25*w**4 - 7365*w + 24*w**3 + 2 + 31*w**3 in the form n*w**4 + l*w**3 + z*w + b*w**2 + m and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.59751085 + -3924.9?\nAnswer: -3926.49751085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 - 3752*k**3 - 592548*k**2 + 134741824*k - 5158686976.\nAnswer: -4*(k - 67)**2*(k + 536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31 - 173\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231460504 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -229, 2\/9, -1\/2, -3 in descending order.\nAnswer: 2\/9, -0.2, -1\/2, -3, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 20 = w + 49, -k = 2*w + 3. Let u be 218 - (-5)\/(-10)*w. Calculate the greatest common factor of 44 and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 1, -128, -385, -812?\n\"Answer: -7*y**3 - y**2 + 9*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 1. Suppose 2*m - 6*m + 4 = 0. Suppose m = -h + 2*l, 6*h - 9 = h - 4*l. Let o(y) = 2*y**3 + 3*y**2 - 2*y - 1. Give h*o(f) - 3*d(f).\nAnswer: 2*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + c68fc?\nAnswer: c68f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 9926 + 2494 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - 3*v**4 - 2*v**5 + (-v**3 + v**3 + 3*v**3)*(-v**2 - v**2 + v**2) + (-2*v**4 + 6*v**4 - 3*v**4)*(2*v + 0 + 0) - 2*v - v**5 + 2*v.\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*sqrt(95)\/sqrt(5))**2 - sqrt(19)) + -6*-2*sqrt(19) + 4 + 0.\nAnswer: 10*sqrt(19) + 346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/sqrt(9)*-2)\/(sqrt(77)\/(-5*sqrt(7))).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = j. Suppose 2*x = 1 + j. Suppose -3*q = i - 2, -i + x*q = 8*q - 2. Which is bigger: 2\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 1. Let m(i) = 37*i - 90. Suppose -p = -2*s, 3*s - 5*p + 9*p - 11 = 0. Let x(l) = s*m(l) - 4*q(l). What is the derivative of x(h) wrt h?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (596\/(-8))\/((-2)\/4). Suppose p = d - 0*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 3*k + 52, 0 = -2*c - 3*k + 52. Solve 0 = -4*m - 9*m + c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 0 + 45*t**2 + 0. Let b(f) be the second derivative of 5*f**3\/6 - 38054*f. Calculate l(b(p)).\nAnswer: 1125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 1. Let s be z(0). Let x be (-2)\/(-6) + s\/21. Let v = -8.6 - -9. Put v, x, 1\/4 in decreasing order.\nAnswer: v, x, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3397 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4768735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g + 63. Suppose d + 5*j - g = 0, 0 = -4*d + j - 13 - 8. Let h be ((-3 - d) + -13)\/(-2). Calculate the greatest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114\/3117413 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 + j + 24. Calculate the lowest common multiple of o(0) and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 610, 741, 978, 1333, 1818?\nAnswer: 2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 12*l**5 + 52*l**4 - 4*l**3 - 84*l**2 - 8*l + 32 = 0?\nAnswer: -4, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3591 and 1950711?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*y - 3*y - 1348, 552 = -2*k + 4*y. Let p be (-24)\/10*k\/(-12). Let q = 53 + p. Which is the second biggest value? (a) q (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11783472, 11783473, 11783474, 11783475, 11783476?\nAnswer: 11783477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/105 - (-21)\/49.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*t = t + 4, 3*s + 18 = 3*t. Let w be s*1*(3 + -23). Suppose 0 = 7*a - 3*a - w. Solve 12 + 3 = -a*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igabi. Give prob of picking 1 g, 1 a, and 1 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 100*a**2. Let u(d) = -10 + 7 + 6*d - 7*d - d + 13. Give r(u(h)).\nAnswer: 400*h**2 - 4000*h + 10000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 0.3. Let y = 0.07601 - -1.02399. Which is the fourth biggest value? (a) -4 (b) y (c) 5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-4*45\/(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6483 - -6\nAnswer: 6489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12910\/2153 bigger than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3\/10, 16\/21 in descending order.\nAnswer: 16\/21, 3\/10, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -487*v**4 - 7*v + 30 wrt v?\nAnswer: -5844*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2. Let b be k(-1). Let y(u) = -2*u**2 - 2*u - 3. Let j be y(-3). Let f = j - -20. Solve -b*w = -f*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11533, 11438, 11247, 10936, 10481, 9858, 9043, 8012?\nAnswer: 6741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*m + 57 = -20, 5*m - 130 = 5*y. Let u = 30 + y. Suppose u*q = 72 + 93. Calculate the greatest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 3. Let g be n(4). Is 0.2 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -47. What is the highest common divisor of 28 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from zezzzzzzzeeezzzzzze?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (395\/(-50) - 2\/40*2). Solve -3*p + 6*p - 28 = -y*u, -18 = -4*u + 2*p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160098 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 3, 8.\nAnswer: -10, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1971.8 - -1972. Which is bigger: -0.00781 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 208, 462, 826, 1306, 1908, 2638, 3502?\nAnswer: 4506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-13.9.\nAnswer: 55.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 a when four letters picked without replacement from {w: 4, b: 4, f: 1, c: 3, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8078871 to the power of 1\/2, to the nearest integer?\nAnswer: 2842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2258 and 34.\nAnswer: 38386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70408355 and 154898381?\nAnswer: 774491905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97321?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 365190.\nAnswer: 365190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*v = v - 42, -2*k = 2*v + 4. Let b = k + 8. Suppose -j + b = -3. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + -8 + -3 + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00699638 to four dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 17670156?\nAnswer: 88350780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 8*k**2 - 6*k + 3. Let s(y) = -3*y**3 + 8*y**2 + 6*y - 2. Let b(x) = 4*m(x) + 3*s(x). Determine b(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (2*sqrt(2057))**2) + -3)*-4.\nAnswer: -44*sqrt(17) + 32924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -d - 2*u, 3*d - 4*d - u = -2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 3)*(-2*h - 1 + 1) + 5 - 5 - h)*(-h - 4 + 1 + 2).\nAnswer: 5*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f**5 - f**4 + 15*f**3 + f**2 - 16*f - 6. Let l(s) = 32*s**5 + 2*s**4 - 45*s**3 - 2*s**2 + 47*s + 17. Let j(r) = 17*c(r) + 6*l(r). Factor j(d).\nAnswer: 5*d*(d - 2)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11*y**2 + 2*y - 49. Let m(g) = 24*g**2 - 5*g + 96. Calculate -6*m(x) - 13*s(x).\nAnswer: -x**2 + 4*x + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 415682*w**4 + 9293*w**2 - 3*w - 2?\nAnswer: 9976368*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333*a**4 - a - 98?\nAnswer: 3996*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/27 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 15 = 0, -4*a + 0 + 20 = 5*i. Suppose i = -2*t - 2 + 6. Suppose -4*l + 6 = -5*y + 39, -6 = 3*l. What is the greatest common divisor of y and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = c, 2*g + 0*g - 5*c = -6. Let i = -9 - -13. Suppose 8*q - 3*q + i = 3*x, 4*q + 13 = x. Is g <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6161.\nAnswer: 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059974364 rounded to 6 decimal places?\nAnswer: 0.059974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 - a + 1. Let l(f) = f**4 + 2*f**2 - 3. Let o(s) = 2*l(s) + 6*z(s). Find v such that o(v) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 - 20*v - 45. Calculate s(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2d?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-66)\/(243\/42 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000042779 to 7 decimal places.\nAnswer: 0.0000428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290 and 2755.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + 2*4*(-1 + sqrt(288)) + (sqrt(288)*-2 + 1 - (sqrt(288) + sqrt(288) + 2*sqrt(288) + -1 + sqrt(288))))**2 + -2.\nAnswer: -144*sqrt(2) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 29*h**2 - 117*h + 8. Let m be y(4). Let i = 14 + -7. Which is the nearest to -1? (a) 0.2 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 9) in base 4?\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -7*p**3\/9 - 3590*p**2\/3 + 684*p - 7257. Determine q so that a(q) = 0.\nAnswer: -1026, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a meter in centimeters?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 7. Let h(g) = 4*g**3 - o*g**3 + 2*g + 2 - 3. Let x(b) = -22*b**3 - 150*b**2 + 31*b + 23. Let u be x(-7). Determine h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 9 - 1 - 16*x + x as a + l*x and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvbbvv. What is prob of sequence vbvv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-21) + 66\/(-14). Suppose u = -4*d - 15, 0*u - 5*d = -2*u + 22. Suppose 2 = -2*c + 4*j, 7*c - 5*c - j - 7 = 0. Put c, u, y in descending order.\nAnswer: c, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56 or -121688\/3?\nAnswer: -121688\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 20, 0, 326 in decreasing order.\nAnswer: 326, 20, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1247*s**3 + 145*s**2 + 145*s + 145. Let x(h) = 26*h**3 - 3*h**2 - 3*h - 3. Determine 3*a(c) + 145*x(c).\nAnswer: 29*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 21. Let j be i(-19). Suppose j*s = -2*s - 2*w + 9440, -2*s + 5*w = -4708. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*d + 33*d = 30*d + 148959. Which is smaller: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/2 - 0 - -3. Let w(p) = 1 + 67*p**3 + 76*p**3 - 218*p**3 - p**2 - 2 + 76*p**3. Let n(r) = -3*r**3 - 2*r**2 + 2*r + 2. Determine i*n(v) + 2*w(v).\nAnswer: -v**3 - 4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25088 divided by -1.\nAnswer: -25088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 5)*1\/2. Let i(s) = s + n*s + 24 - 29. What is i(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*r + 14*r**3 - 102*r.\nAnswer: 14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9186 and 9680.\nAnswer: -8892.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2664 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17336 and 352.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1217*p = 1063*p + 17094 for p.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109638.\nAnswer: 2, 3, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 2) + 22 + -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmuu when four letters picked without replacement from {p: 1, u: 3, l: 6, m: 7}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -10. Let p = k + 6. List the prime factors of p\/(-3)*(3 + 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 88.4 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159200*j**5 + 7*j**3 + 24*j**2 - 295583*j + 205 wrt j.\nAnswer: -3184000*j**3 + 42*j + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/3 and -4\/65259?\nAnswer: 65259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + r)*(976 - 976 + 2*r**2).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -40816*-146\nAnswer: 5959136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvsvvvsssv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4180 and -103\/570.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a factor of 15032952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1253392 and 560?\nAnswer: 6266960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 1\/2, -0.3, 5.12.\nAnswer: -0.3, -0.05, 1\/2, 5.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + j - 189, -r - 5*j = 7 - 40. Let t = r - 38. What is the third derivative of 15*a**6 + 20*a**2 + t*a**2 + 12*a**6 wrt a?\nAnswer: 3240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4368\/64)\/(-13)*-332. Calculate the highest common factor of 14 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21128, -21248, -21448, -21728, -22088, -22528, -23048?\nAnswer: -23648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 62?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -103?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(-3*c**2 + 3*c**2 + c**2) + (c + 0*c - 2*c)*(2*c - 6*c + 2*c) + (0 - 2*c + 0)*(-1328 + 1328 + 85*c) as y*c + z*c**2 + k and give z.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 10*i**2 + 16*i - 33. Let g be k(11). What is the greatest common divisor of g and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-174)\/(-261))\/((-2)\/6). What is the closest to 7 in 9, 3\/2, -5, x?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1282359 (base 11) in base 6?\nAnswer: -115241240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 12*h - 13*h = 4719, 2*h - 2821 = -3*o. Calculate the highest common factor of o and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3069*o + 12270. Give y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98530 and 18.\nAnswer: 886770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.4. Let s = -2.89 + -1.11. Are s and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/5)\/(3\/(-30)). Suppose 2*y - 3*u = 11, 5*y = -0*u + 3*u + 23. What is the units digit of 0\/2 + (d - y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1091601068 and 2921.\nAnswer: 2921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2. Let q(m) = -34*m**2 - 242*m - 6. What is q(v(z))?\nAnswer: -34*z**4 - 242*z**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a hour in minutes?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 14 - 21 + 88*t**2 as g*t + r*t**2 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 3) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyddpddyl. Give prob of sequence dylp.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 47) + (-4 - -1 - -17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 44307 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 1:17 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000000000001010 (base 2) in base 10?\nAnswer: -163850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56*g**2 - 1292*g*s + 78711*s wrt g?\nAnswer: -112*g - 1292*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 6*x - 6. Let o(j) = 8 + 3*j + j**2 - 7*j - 5*j + 0*j**2. Let b be o(7). Calculate w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82803041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1248695, -2497349, -3746003, -4994657?\n\"Answer: -1248654*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14864691 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418, -415, -412?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2755726, -5511438, -8267138, -11022820, -13778478, -16534106, -19289698, -22045248?\nAnswer: -24800750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 8, t: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/(17\/85).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*u + 165, u + 3*d - 39 = d. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000669923501 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.31 + -0.31. Let d = -20 + m. Let t = d - -6.4. What is the second biggest value in 3\/2, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 0*i - 37 + 0*i**2 + 0*i**4 - 14\/3*i**3 - 6*i**5. What is the third derivative of u(l) wrt l?\nAnswer: -720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 + 12*k + 132. Let o(j) = 11*j**2. Give f(o(a)).\nAnswer: 847*a**4 + 132*a**2 + 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -42, 350, 0, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 4*d**2 + 24*d + 2. Let x(c) = -4*c**3 - 7*c**2 + 49*c + 3. What is -7*a(p) + 4*x(p)?\nAnswer: -2*p**3 + 28*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -43*c**4\/24 - 29*c**3\/3 - 10*c**2. What is the units digit of t(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15549888 is divided by 974.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m + 4*m + 6*m + 992*b - 993*b - 18 = -10*m, 3*m = -b - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/372 and -107\/2206060.\nAnswer: 205163580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {q: 1, j: 2, w: 4, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -201\/100 - -164\/25. Calculate the common denominator of -5\/34 and s.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40754 + 40756. Factor 9\/2 + 1\/2*c**k + 3*c.\nAnswer: (c + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -5*v + 2*j - 676, 0 = -5*v + 3*j + 856. What is the highest common factor of 136 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 10839500.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -25\nAnswer: 17\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - 41.2. Let m = g + 49. What is the nearest to 0.1 in 0.5, -3, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - 185. Let t = 233.553 + m. Round t to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25036 (base 7) to base 9\nAnswer: 8871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*j - 3*z - 16, 2*z = 5*j - 29. Suppose -f - 814 = 3*u - 3394, 4302 = j*u + f. List the prime factors of u.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/5 + 5583*w**3\/5 - 112509*w**2\/5 + 131949*w - 914166\/5 = 0. Calculate w.\nAnswer: -1881, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (242\/2 + -1 - (46 + 1332\/(-36)))\/(-3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 1. Let r(k) = -k**2 - 2*k + 4. Suppose 4*c + 96*y = 98*y - 2, -3*y - 3 = -3*c. Calculate c*x(d) - r(d).\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56100)\/120)\/187*(-8)\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express -474 + 6*x**2 - 482 + x**3 - x + 958 in the form v + h*x + j*x**2 + k*x**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.057 - 11.443. Let m = -8.1 + -2.9. Let i = w - m. What is the smallest value in i, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/13334 and -83\/1808?\nAnswer: 106672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -392 times -0.4\nAnswer: 156.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*y - 19767 = -19767. Solve 2196*a - 2195*a - 1 = y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78294333 + -1722816833\/22. Let n = u - -15527. Let a = -35\/22 - 343\/99. What is the common denominator of n and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -6. Let x(u) = u**3 + 4*u**2 + 2. Let j(l) = -2*l**3 - 11*l**2 - 6. Let g(a) = i*j(a) - 11*x(a). Find the first derivative of g(o) wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.45 + -1.74. Let j = -1.23 - o. What is the third smallest value in j, -5, -0.2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(1\/3*3). Let v be (3\/3*r)\/(-2). Solve 0 = 3*a - 2*y + 7, -2*y + v*y = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:21 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 12 + 4\/3*n**3 - 2*n**2 + 1\/4*n**4 - 4*n. Determine u(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -80267717, -80267719, -80267723, -80267729?\n\"Answer: -m**2 + m - 80267717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*q - 1039 - 489, -5*r = q - 3850. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-15))\/(1\/(-40)). Let h = z - -14. Let d(o) = -13*o**3 + o**2 - 8*o + 9. Let q(t) = -3*t**3 - 2*t + 2. Calculate h*d(b) + 9*q(b).\nAnswer: -b**3 - 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {a: 1, g: 2, t: 2, o: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h, -d + 385 = h + 379. Let a = -1 + 4. Solve 17 = -5*p - i, p - d*i = 4*p - a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/21 - -4)\/((-50)\/(-225)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330524 divided by -38.\nAnswer: -8698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15675227 * -2\nAnswer: 31350454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 3, 1\/2, -3.\nAnswer: -3, 1\/2, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -253*s. Let m(g) = 18*g. Determine 55*m(p) + 4*x(p).\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2357886*d**3*f - 36*d**3 - 8344*d**2 + 2*f**4 - 2 wrt f.\nAnswer: 2357886*d**3 + 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**4 + 12*h**3 + 8*h**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3999 - -0.3999. Let d = 1 + -1. What is the fourth biggest value in g, -3, d, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-19859)\/102)\/(70\/10 - -9). Let q = m + 1\/544. Is 2 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7894*k. Let g(t) = 761*t**2. Calculate c(g(b)).\nAnswer: 6007334*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.3 - -6.7. Put 2\/17, -4, z in decreasing order.\nAnswer: z, 2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18447 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**4\/5 - 112*v**3\/5 - 156*v**2 + 112*v\/5 + 784\/5 = 0.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*w = 32 + 111, 3*g + 439 = 4*w. Let z = -146 - g. Factor 0 - 49\/6*u**4 - 16\/3*u**2 - 2\/3*u - 77\/6*u**z.\nAnswer: -u*(u + 1)*(7*u + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070721 is divided by 152544?\nAnswer: 2913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7605, 7446, 7287?\n\"Answer: -159*t + 7764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1234*f + 12353. Determine t(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 5\/6*q**4 + 0*q**3 - 3*q**2 + 18*q + 0. What is the derivative of h(d) wrt d?\nAnswer: 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Let g = t - 2. Suppose -d = g*d + 6, 0 = -2*w - 4*d + 16. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.033083 * -0.4.\nAnswer: 0.0132332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(24\/305)*(-23)\/((-2875)\/100)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*f**2*x**3 + 4*f**2*z + 3*f*x**2*z + 10*f*x*z + 11*f*z - 2*x**3 + 3*x**2 wrt x?\nAnswer: -66*f**2*x + 6*f*z - 12*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/10*(-8055)\/15752*44?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(343).\nAnswer: 4 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 0*k**4 + 1 - 2\/9*k**3 + 0*k**2 + 2\/15*k**5 + 0*k. Factor x(m).\nAnswer: 2*m**2*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (-2*sqrt(154))\/sqrt(11))\/sqrt(7).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**5\/5 + 158*s**4\/3 - 274*s**3\/15 - 1318*s**2\/15 + 268*s\/15 + 176\/5 = 0. Calculate s.\nAnswer: -132, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y**3 - 9*y**2 + 2*y + 9. Let w(v) = 5*v**3 + 4*v**2 - v - 4. Let k = 38 + -5. Let p = k - 29. What is p*c(x) + 9*w(x)?\nAnswer: x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078978685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48504 and 920028.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/29, -23, -52, -0.3, 0 in decreasing order.\nAnswer: 0, -0.3, -12\/29, -23, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 81*u**2 - 165*u + 235. What is p(-83)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*g)*(-106 - 508 - 791).\nAnswer: 5620*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.059?\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 378 + -603. Let u = 248 + i. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229214620?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.49 + 4.51. Which is the closest to -1? (a) 1 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -324 less than or equal to -324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40 - 62 + 42 + 3*s**4 wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14b2 - a?\nAnswer: 14a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -45364 (base 13) in base 3?\nAnswer: -20101120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/60*(-4)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292658 divided by 146329.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2492 = -173*l - 7585 - 5979 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 972257.9 kilometers?\nAnswer: 972257900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7892 - 5?\nAnswer: 7887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 659318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5 + 548*w**4 - 7516*w**3 - 68408*w**2 + 669918*w + 2377620 = 0. Calculate w.\nAnswer: -9, -3, 10, 17, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1131\/11, -69\/4, -2.9 in ascending order.\nAnswer: -69\/4, -2.9, 1131\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 11:14 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/27*(0 + -3). Sort -4, x, 2.\nAnswer: -4, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 5*c - 8. Let x(p) = 4*p - 8. Let u be x(11). Suppose -c*q + u = q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/35024 and 153\/3231760.\nAnswer: 35549360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*q - 220, q = -2*g - 3*q + 62. Suppose g*d - 39*d = 170. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7*c**2 + c - 6. Let q be d(7). Let h(j) = 3 - 5 - 6*j + 1 + 13*j. Is h(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.0272363?\nAnswer: -0.0272363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -126?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*v - 488 - 915 = 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 640985 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + -5*(4 + sqrt(432) + 4)**2 + 3.\nAnswer: -2471 - 960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0.03742197244.\nAnswer: 3.03742197244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w + w**2 - 3*w + (4 - 4 - 1)*(78*w - 24*w**2 - 78*w) - 2*w + 2*w + 2*w**2 to r + a*w**2 + b*w and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 645475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 times -0.5?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 5)*(-39)\/(-12). Suppose -k = -q*k + 2424. Calculate the smallest common multiple of 20 and k.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*t + 0 - 3 = 0, -5*c = -2*t - 26. Suppose -c*n - b + 668 = -0*b, 2*n - 4*b = 334. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 223\/3 + -49. Find the common denominator of g and -79\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s\/s**(-13)))))**(-24) assuming s is positive.\nAnswer: s**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12*k - 15. Let j be 96\/(-10) - 4\/10. Let c be z(j). Suppose -5*v = -2*v - c. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 22213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 15 = -5*f + 4*f, 24 = 3*f + 5*k. Let w be (54 - (0 - f)) + 3. What is the common denominator of (9\/w)\/((-2)\/5) and 37\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1676400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.8 - 11.23. Let f be (-12 + 6)\/6*(-6)\/2. Which is the smallest value? (a) f (b) x (c) -1\/4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = 2*r, 6*r - 4 = 4*v + r. Sort -3, 4, v, -10 in decreasing order.\nAnswer: 4, v, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 + 9 + (0 - -3). Let y(s) be the second derivative of 3*s + 0 + 0*s**q + 1\/10*s**5 + 3\/2*s**2 + 0*s**3. What is the first derivative of y(c) wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1 = -3*y + 7, 2*p = 2*y + 10. Sort 0.3, 2, p in descending order.\nAnswer: p, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1595 - 1031. Let m = 222 + z. Is (m\/(-5)*1)\/(84\/(-210)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i + 2*b - 34 = 0, 0 = -2*i + 5*b + 29. Let x(c) = -c + 1. What is the remainder when i is divided by x(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-50)*8\/2)\/((-117)\/65).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 1133*n\/6 + 568.\nAnswer: -(n - 3)*(n + 1136)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114132 - 101?\nAnswer: 114031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 12*k**2 + 21*k + 276. Determine z(-11).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from uutlu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4 - 1 - 6*l - 72*l**2 - 1 + 75*l**2. Calculate the remainder when u(5) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4805*i + 4800*i + 40 = 0, -4*t - i - 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 6. Let s be d(-4). Let p be (592\/(-48))\/(14\/(-6) - s). Which is the third biggest value? (a) p (b) -3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 12*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 1056, -4, 3, 12 in descending order.\nAnswer: 1056, 12, 8, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-44)\/(-2))\/(4 - 6). Let y = -5 - c. Suppose 3*w + 0*w = y. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 187 - 547 = 0. Let x be (1 - k\/(-26)) + 1642\/26. Suppose 0 = -60*n + x*n - 114. Calculate the lowest common multiple of 9 and n.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 425833359 to the nearest integer?\nAnswer: 20636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1.59, -1 in descending order.\nAnswer: 1.59, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*((-30)\/12 - -3). Solve -p - 7 = -5*h - 3*p, r = 4*h + p - 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*w + 30 = 1083, -3*v + 788 = -4*w. Suppose p = -5*p - v. Let i = 56 + p. What is the smallest common multiple of 10 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7496 is divided by 163.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189233 is divided by 55.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/sqrt(5) - (-3 + 0 + sqrt(5)))**2 - 3*(0 + 1 + sqrt(320))**2.\nAnswer: -909 - 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81 in 2\/11, 3, -0.4, -4\/29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -9aa917b?\nAnswer: -9aa917a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:52 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -51. What is the lowest common multiple of p and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -126*l**4 - 14*l**3 + 7*l + 254. Let z(r) = -126*r**4 - 12*r**3 + 6*r + 253. Let b(q) = -6*j(q) + 7*z(q). What is the first derivative of b(o) wrt o?\nAnswer: -504*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 290 (c) 474 (d) -5 (e) -2\/3 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 22. Let d be k(-23). Calculate the common denominator of -1\/10 and 24\/(d - 100\/(-8)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 - 2*y - 20. Let j(k) = -k**2 + k. Let b(q) = -c(q) + 5*j(q). Let t be b(9). Solve v + 3*n + 1 = t, n = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2. Let m(v) = -21*v**2 + 7*v - 7. Let u(z) = 10*z**2 - 3*z + 3. Let a(n) = -6*m(n) - 14*u(n). Determine a(b(c)).\nAnswer: -56*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*b = 25. Let j(q) = 1170000*q + 6. Let n be j(b). Suppose -n = -3*i + 3*t, 2*i - 2*t = -2*i + 7800004. Round i to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9544*-3\nAnswer: 28632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220.514 + -220. Let b = n + 71.186. What is b rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -334*c**3 - 2*c**2 + 22 wrt c.\nAnswer: -2004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - g - 861, 3*t - g - 647 = 0. Is t a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2. Let j(m) = m**2 + 4*m + 11. Let v be (3 - 6) + (-3 - 0). Let y be j(v). Let l(p) = -y*p + 11*p - 9*p. What is l(o(w))?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*u = -1707*u - 2560 - 5360 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -16 + 0*f - 1\/3*f**3 + 0*f**2. Let a(g) be the second derivative of 2*g**4\/3 - 2*g. Calculate j(a(h)).\nAnswer: -64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -3 (c) 2\/7 (d) -15 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 57. Let h be q(-27). Find the second derivative of -67*s - 3*s**2 + 3*s**2 + 247*s**3 - 270*s**h wrt s.\nAnswer: -138*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00506846 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2502347, -5004635, -7506923?\nAnswer: -10009211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 20 = -3*u - u, -5*u + 4*n - 6 = 0. Suppose -4*k = 2*z - 18, z + k = u*z. Let t(v) = -v**2 + 4*v + 1. What is the units digit of t(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-10))\/(3\/(-15)) - 0. Let j be -4 + ((-6)\/(-3) - g) + 27. Find the second derivative of -20*r - 34*r + 42*r + j*r**4 wrt r.\nAnswer: 336*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 148 = -3*j, -3*n = -j + 5*j - 224. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9*i = 2*i. Solve i = -21*j - 18 - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b**2 - 12*b + 1. Let w(l) = -10*l**2 - 12*l + 2. Let d(t) = 2*o(t) - 3*w(t). Does 2 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -213*t - 26. Suppose 2*z - 4*z = 10. Is d(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9474570, -9474541, -9474514, -9474489, -9474466, -9474445, -9474426?\n\"Answer: -j**2 + 32*j - 9474601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49683 is divided by 533.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n**4 - 15*n**3 - 7*n**2 + 13*n - 4. Let c(r) = r**4 + r**3 + r**2 + r. Let q(a) = c(a) + d(a). What is f in q(f) = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -167*k - 982. Does 6 divide v(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 7 = -4*s, 7*s - 4*m = 11*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.76978448 to 3 decimal places.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 839921010 a multiple of 503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 608530 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) - 38\/(-8). Suppose -75 = -5*h + 7*i - 2*i, -t*h + 30 = 4*i. What is the tens digit of (h\/(-15))\/(4\/(-66))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c + 4*k + 200, -5*c - k + 225 = 0. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 divided by 5998?\nAnswer: 161\/5998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - 5\/(-5) - -3. Suppose 10*h - 7*h - 6 = d. Factor -2\/13*s + 2\/13*s**3 + 2\/13*s**h - 2\/13.\nAnswer: 2*(s - 1)*(s + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 101*v - 693. Calculate the remainder when 680 is divided by p(41).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/5*(-117)\/351.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r + 15. Let z be i(7). Let w = 5 + z. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2 - 9*r**3 - 2*r - r + 6*r**3 + 4*r. Let q be n(-1). Suppose -2*s - 2*s = -4*b + 4, 20 = 4*b + q*s. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + (8 - -49 - 115).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 1, q: 1, t: 1, o: 1}. Give prob of sequence ot.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*q, 7*q - 2*q - 3*q = 0. Let f(r) = -6 + 2*r + 7 + 14 + z*r - r. Determine f(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by -458.\nAnswer: 36\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27399 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*a + 42. Let o = 14 - a. Suppose 3 = -2*r - r, 3*m + o*r - 5 = 0. Let q(v) = -4*v + 4. What is q(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 3. Let l be d(2). Calculate the common denominator of 56\/11 and (0 - -16)*(-2 - l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303656 (base 8) to base 4.\nAnswer: 120132232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.3 - -7. Let n be ((-68)\/38)\/2 + 1. Which is the nearest to q? (a) -4\/5 (b) n (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1288, -4875, -10790, -19033?\n\"Answer: -1164*h**2 - 95*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63650 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*v + a + 480002, 4*v - 3*a = -479997. What is v rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-64)\/15 - 4\/10. Let q = p - -16\/3. Let h be 3\/6*4\/1. Is q bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 234531100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2557646 divided by -2162.\nAnswer: -1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y = 39649 - 4449. Is 60 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 47 = -47. Suppose -2*z - 20 - 2 = 4*x, 3*x + 12 = 3*z. Let s be (x\/1)\/(5\/15*-3). Put y, s, -3 in decreasing order.\nAnswer: s, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30335\/13 + -6975529\/2990. Let v = n + -5\/46. Let t = -23604 + 23608. What is the second biggest value in 1\/3, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 + 93 = 0. Solve 5*x - 8 - q = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/15, 1\/5, 1, -4\/5, -14\/5.\nAnswer: -14\/5, -1, -4\/5, -2\/15, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 - 54*k\/7 + 116\/7.\nAnswer: -2*(k - 2)*(k + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + w - 4*w - 2. Give a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1105*h - 30874 - 9604 = -65860 - 56388 for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -6*m + 8. Suppose m*s = s + 4. Calculate the remainder when 10 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6045 + -3991. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6902570 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59269, -60277, -61957, -64309, -67333?\nAnswer: -71029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32, -5, -20, 1\/4, 2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 79480?\nAnswer: 1\/39740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -17*x**2\/2 + 78*x - 116. Is o(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401648 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -67 + 65 - -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.35 plus 1?\nAnswer: -3.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 8*b**2 + 14*b - 19. Let r be s(9). Let o = -22 + r. Suppose -3*y = -0*j - j + 44, -4*j + 112 = o*y. Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.382 + -193.864. Let l = s - -172. Round l to two dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000394303 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 684125538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2 + 0) - (18 - 17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -1913\/3, -0.1, -2, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1589022?\nAnswer: 2, 3, 43, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 3. Let s be p(6). Let u = s - 5. Solve 8 + u = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.430282 centuries to months.\nAnswer: 2916.3384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 1\/3*u**3 + 0*u**2 - 2 - 3*u. Differentiate v(f) with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485125064 to the power of 1\/3, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2175 divided by -15\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -132283.\nAnswer: 22\/132283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 702 - -17032?\nAnswer: 17734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 69*b**2 + 379*b + 73. Calculate g(63).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 9 = 13*b. Suppose 0 = -2*z - b*q + 3691, 5*z - 4*q - 2976 - 6240 = 0. List the prime factors of z.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -0.04, -1\/4, -0.2, -3, 2 in descending order.\nAnswer: 2, -0.04, -0.2, -1\/4, -0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 536519.7 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29652 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(968)*-1)\/sqrt(900))**2.\nAnswer: 242\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 6. Let m be q(10). Let i be ((-3)\/m)\/((-3)\/8). Suppose d - t - 9 = 20, 83 = i*d + 3*t. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:17 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(0*u - 5*u + u) + (6 + 0 - 4)*(-244*u - 240*u + 506*u).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 4, t: 1, f: 2, w: 1, j: 1}. What is prob of picking 1 w and 3 r?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 4*f - 28. Let p = 8 + 1. Is p >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*t - 10, -3*l - 4*t = -2*t - 6. Suppose -w - 10 = l*h - 6*h, w - 8 = -2*h. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001110 (base 2) to base 16.\nAnswer: 4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32698 + 66188. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 33*n = -2356000. Let y = n - 16020697\/136. Find the common denominator of y and -51\/7.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b + 49. Let t be n(7). Let r be t\/(-4) - (-4)\/((-64)\/(-12)). Let a(k) = -4*k - 1. Determine a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/15 - (-4)\/(-12). Let a(u) = 4*u - 4. Let m(o) = 3*o - 3. Let c(f) = 5*a(f) - 7*m(f). Determine c(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 17*v - 54 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s - 383. What is u(27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 - -79. Solve 0 = -0*a - 3*a - f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*y + 7*y**2 - 12*y + (y + 3*y - 3*y)*(-2*y + 5*y - 2*y).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*(-1 + sqrt(847) + -2 + (sqrt(847) - -5*(1 + sqrt(847)))))**2.\nAnswer: 11550*sqrt(7) + 1037800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b + 37 = 4*v, 2*v - 2*b - 18 = 0. Suppose 0 = 4*h - 0*q - q + v, -3*h - 8 = -q. Let u be 21\/27*h\/7. What is the biggest value in u, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4)*2*(49 - 48). Suppose r*o - 382 = -4*k - 101, -2*o - 357 = -5*k. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3957.584ml?\nAnswer: 3.957584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2)*(-53)\/106?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5851.71 - -5801. Let v = -0.71 - t. Let y = v - 48. Is -2\/7 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -62. Which is the closest to 0? (a) 5 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440828543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 62216.52 days?\nAnswer: 5375507328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*p + 3*g - 21, -p - g - 2 = 0. Solve p = 27*o - 25*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682752 is divided by 526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2293996 take away -5?\nAnswer: -2293991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -29. Factor -t + 5 + 26*z**2 - 28*z**2.\nAnswer: -2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162 less than -26?\nAnswer: -2188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*p**2 - p**3 - 5*p - p + 12*p**2 + 3 + 2*p + 14*p**2 to q*p**2 + f*p + a*p**3 + d and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11033189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2)*(-1 - 3 - 2323*d**3 + 2330*d**3)*(2*d + d - 4*d) + d**4 + 2*d**2 - 2*d**2 as f*d**4 + n*d**2 + w*d + r + c*d**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2165002 (base 7) to base 5.\nAnswer: -32040403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + sqrt(833) + sqrt(833) + -2*sqrt(833))**2 + sqrt(17) + (sqrt(612) + -5 - sqrt(17))**2 + (sqrt(119)*2 + sqrt(119))\/sqrt(7).\nAnswer: -46*sqrt(17) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*p = -28*p + 60 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3228, -4, -2, 1 in ascending order.\nAnswer: -4, -2, 1, 4, 3228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/1721459 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 14) to base 13\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 57\/11 - ((-18)\/22 + 1). Suppose 13 = s*h - 12. What is the closest to -10 in -2, 2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 10:35 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and -0.01246.\nAnswer: -0.21182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 73 = -2*d. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 62\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -32. List the prime factors of t.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*m + 5*v + 1, 5*m - 39 = -4*v. Solve 1 + 0 = 5*p - 3*q, -3*q = p + m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*r + 3*l, -11 = -5*r + r - l. Suppose z + 132 = r*z. Does 30 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*l - 8 = 2*c, -3*c - 3*l = -6. Let f be 6\/4 - (-2)\/c. Solve 0 + 4\/7*b - 2\/7*b**f - 6\/7*b**3 = 0 for b.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1529*d**4 - d**3 + 2*d + 164 + 3*d**3 - 162 + 406*d**4 to m*d**4 + h + z*d + n*d**2 + k*d**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-12)\/(-56))*2. Let a be (g\/(-5))\/(8\/(-40)). What is the common denominator of (-17)\/a*2\/(-1) and 25\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -203*z**2. Let u(l) = -5*l**2. What is p(u(a))?\nAnswer: -5075*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 50 + 11. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -84417108?\nAnswer: -84417104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 12.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-2)*(51 + (-6950)\/150)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 22 - -15) + (-78 - -17)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from ltltl.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230110 (base 4) in base 16?\nAnswer: -2b14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.388, -0.5, -2, -0.3, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65170 is divided by 16258?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*r**2 - 2*r**2 - 45*r**2 - 12*r**2)*(24*r - 15*r - 11*r)*(-r - 2 + 2).\nAnswer: -186*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 1, g: 1, b: 1, r: 1}. Give prob of sequence hb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 703 - 690.7. Round f to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/9*3*(-323)\/646?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 5 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**4 + 0*i**4 + 2*i**4)*(-2*i + 3*i - 2*i - 4).\nAnswer: 4*i**5 + 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104467 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s - 8. What is x(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:05 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/196? (a) -5 (b) -0.1 (c) 12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**4\/12 + b**3 + 41*b**2. Let u be n(2). Suppose 3*z = 59 - 11. What is the highest common factor of z and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 424104?\nAnswer: 424115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 19 = -1. Suppose -c = -2*h - 2*c + 102, 2*h = w*c + 92. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128782, 0, -1 in descending order.\nAnswer: 128782, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -0.1, -5, 1\/10.\nAnswer: -5, -0.1, 1\/10, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - -2)\/(-2 + 0). Suppose l*m - m = 36. Suppose -m = 4*z - 6*z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 165 - 32 - 37 = -4*h, -23*h = 2*f - 95 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178056190.\nAnswer: 2, 5, 13, 557, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/15509 and -5\/2094.\nAnswer: 32475846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001101010101111101 (base 2) in base 5?\nAnswer: 203403320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d = 14*d - 32 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 37 - 144 + 40 + 37 + 29. Let f(b) = 18*b + 54. Give f(n) + 54*j(n).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m)**(-18)*(m*m*m**24\/m)\/m**(-2\/19) assuming m is positive.\nAnswer: m**(-2259\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1552\/25 - ((-43)\/((-31175)\/(-7192)) - -10)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 - (103 + -211 + 90)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z - 2*a = -30*z + 5966, 0 = -2*a - 10. What is the remainder when z is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*l - 840 = -36*l. Suppose 5*u + 10 = 0, 3*i + 0*i - 4*u = 140. Calculate the highest common factor of i and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -7 + 1. Suppose -3*h - g*z + 3*z = 5, h = -z - 7. Let d = h - -7. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/130989903 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -771*l*r + 224*r wrt l.\nAnswer: -771*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*p + 11, 0 = -2*s + 3*p - 9 - 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + g + 1. Let k be x(-1). Let m(f) = -f**2 + 2*f - k*f. Let v(q) be the second derivative of q**3\/3 + 2*q. What is v(m(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - g = -204, -2*g + 6 = 3*s + 148. Sort 5, -1, s, -2, 1 in decreasing order.\nAnswer: 5, 1, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2 = 117. Suppose 4*y + r = -y - 2*b, 3*y - b + 5 = 0. Let d(n) = -37 + 37 + 2*n. What is d(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - 7*c - c)*(2*c**2 + 0*c**2 - 3*c**2) + 4*c**3 + 0*c**3 - 3*c**3 to i*c**2 + x*c + g*c**3 + a and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 83, 118, 153, 188, 223?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxq when three letters picked without replacement from {x: 4, h: 1, y: 7, q: 2, r: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/30 + 7\/2. Suppose -3*a + 120 = a - r*l, -l = a - 24. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 34 - 6 = -20*c + 17*c, 0 = -2*m - 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l + 48*l - 8 = m, -l = 5*m + 92. Sort 1, m, 2 in increasing order.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from xiiddidhiidddiihxdd?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**4\/12 + 9*m**2 + 3*m. Let d(z) = 12*z**2 + 1 - 1. Determine d(j(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1048518513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105577411 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 16 = -z + 2*z, 23 = 4*y - z. Suppose 3*s + 87 = -54. Let k = -46 - s. What is the greatest common factor of y and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9895 - -17384. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36939 is divided by 293.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*d + 147*d + 72 = 80*d. Let b = 2 - -8. Solve -d = -6*u + b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69515, -139029, -208543?\nAnswer: -278057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 2 + 4)*(53 + 41*t**2 - 53).\nAnswer: 164*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.4, -2, 4, 2\/3.\nAnswer: -2, -2\/7, 0.4, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -622 - (3 + -9 + 1). Let o = 619 + b. Solve -o*r + 4*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.079 - 29.821. Let h = 30 + o. Let m = -0.7 + 0.3. Which is the closest to 0.1? (a) m (b) h (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85662 = -381*r + 1155*r - 17550 for r.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**2 + 12*p**2 - 1 - 1 - 8*p**2 as d + x*p + n*p**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*o = -222, -10*o = -2*k - 13*o + 451. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((-16)\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -113, 5, -0.5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/35684 and -13\/935?\nAnswer: 3033140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -63*y + 156*y - 94*y. Let p(n) be the third derivative of -n**4\/24 + 10*n**3\/3 + 4*n**2. What is p(h(s))?\nAnswer: s + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -499597.\nAnswer: 57\/499597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 + -40. What is the remainder when d is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by ((-126)\/(-15))\/((-7)\/(35\/(-2))).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = -7*y. Suppose 5*n + 3*o - 4801 = y, -4*n + 2*o + 3570 = -262. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.5. Let q = 93 + -88. Which is the nearest to 1? (a) r (b) q (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1084 - 1012 = 53*f - 17*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 584 + 331. Let z be (-1)\/(-3) + x\/15. Suppose 68 = -4*a + 4*j, 3*a + 2 = 2*j - 52. Is z at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 37. Determine c(53).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 11*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/28120158 and 187\/387330.\nAnswer: 140600790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-16 + -69 - (-27 - 0)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -803*a**2 - 111615*a + 252. Calculate l(-139).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6*h + 30 = 0. Suppose 0*z = -5*z + 3*x + 17, -h*x = -3*z + 15. Let k(l) = l**3 + l**2. Give k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 676751, 676735, 676717, 676697, 676675?\nAnswer: 676651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 225\/(-27))*18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 2*a**3\/3 + 20*a**2 - 42*a - 293. Factor s(t).\nAnswer: 2*(t - 1)*(t + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-15))\/((-4)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -194399? (a) 3\/7 (b) 2\/143 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6225713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = c - 2*g - 58, -c + 43 = 4*g. Let w = c - -1. Let t = 40 - w. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68779*n**2*u + 40*n*u - n + 6*u - 5 wrt n?\nAnswer: -137558*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 - 181 = -8*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1124445 (base 6) to base 13.\nAnswer: 20573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 76*m - 603. Let o be q(8). Let f = 0.8 - 0.3. Sort o, 1, f, -1 in descending order.\nAnswer: o, 1, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*h - 9537, -63*b + 4*h = -68*b + 15895. List the prime factors of b.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406836 is divided by 2199.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.5, -1858 in descending order.\nAnswer: 0.1, -0.5, -1858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4*d - 31 + 11, 0 = 4*k + 4*d + 44. Let n = -94 - -94. Put k, -1, n in decreasing order.\nAnswer: n, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54579083 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 3*v - v)*(3132 + 21*v - 3132) + 0*v**2 + 2*v**2 + v**2 in the form h + z*v + l*v**2 and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2916 or -495?\nAnswer: -495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*i*x**3 + 5*b*i*x - 9*b*x**3*y + 2*b*x**2 + 5*x**3*y**2 - y**2 - 4 wrt x.\nAnswer: -12*b*i - 54*b*y + 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*d - 47 = -3*k, -5*k = d - 37. Solve 0 = -2*l + 2*y - k, -9*l + 8*l = 2*y + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1572552 and 73\/24?\nAnswer: 1572552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11973654 and 11607.\nAnswer: 874076742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4467026989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141.03*0.2.\nAnswer: 28.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278 and 8408944.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*((-34)\/(-12))\/(-17))\/((-4)\/228)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -609844, -1219695, -1829548, -2439403, -3049260, -3659119, -4268980?\nAnswer: -4878843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 1. Suppose -6*d + 174 = -3*d. Let y = d - 35. What is the remainder when y is divided by g(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**3 + 3*i**3 + 0*i**3)*(1 - 4 + 4) - 2*i**3 + 0*i**3 + i**3 to y*i**3 + p*i**2 + n*i + u and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 524?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4708.378 weeks in milliseconds?\nAnswer: 2847627014400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 737 - 721. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 3}. What is prob of picking 1 k and 1 f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4335, 4246, 4143, 4020, 3871, 3690?\nAnswer: 3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*i - 66, 2*h = -5*i - 3*h + 160. Calculate the greatest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -204, -256, -238, -126, 104, 476, 1014?\nAnswer: 1742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*v - 165*v - 10 = 0, 5*a + v = -20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -4*r + 89. What is the greatest common divisor of r and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53b3a7 (base 14) in base 8?\nAnswer: 12641527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 4*s**2 + 6*s + 7. Let c(n) = n - 1. Let a(x) = -2*x + 25. Let h(f) = -a(f) - 5*c(f). Let q be h(-14). Let z = q - 27. Calculate l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b + 4*b - 13*b)*(b**2 + 4*b**2 - b**2 + (-2 - 1 + 5)*(b**2 + 2*b - 2*b)).\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**4 - 9593*t**3 - 18400 wrt t.\nAnswer: 4*t**3 - 28779*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 21*n + 16*n = -22, -2*p - 2 = -4*n. Let m(c) = -c - 4. Let q be m(6). Let x be 2\/5 + 74\/q. Is p smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100500 - -3?\nAnswer: -100497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 + 22*x**2 + 81*x\/4 - 261\/2.\nAnswer: (x - 2)*(x + 3)*(x + 87)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12112258 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/21 + 30\/7. Let q(m) = -5*m**2 + 4*m**2 - 5*m + r + 2 + 3. Determine q(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -10. Suppose 9 = -5*j - c. Let o = j - -8. What is the smallest common multiple of 9 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 + 3*x**4 - 4*x**2 + 6*x**3 + 0 - 3*x - 2*x**2 + 3 + 0*x**5.\nAnswer: -3*(x - 1)**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1520 - 1520. Which is the nearest to g? (a) 6\/7 (b) 2 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5816, -11333, -16852, -22373, -27896, -33421?\n\"Answer: -z**2 - 5514*z - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/12)*h*h**(-2\/21))\/(h**34\/(h**(-10)*h)))**(-38) assuming h is positive.\nAnswer: h**(65455\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1021*2\nAnswer: 2042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*f, 2 = -b + 4*f - 8. Let a = -12 - -14. Let d = a + 2. Put -4, b, d in descending order.\nAnswer: d, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58267384729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65332 + 6144?\nAnswer: -57166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102.8968 + -0.0032. Let b = -109.4 + 1.4. Let p = b - y. Round p to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29 and -3025?\nAnswer: 87725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -303*(-1 - 2) + 2. Let x = k + -370. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d2a9 (base 16) in base 12?\nAnswer: 132ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + ((sqrt(931) - (-1 + sqrt(931) + 1 - sqrt(931)))**2 + (-1*sqrt(931)*4)**2 + 0)*1).\nAnswer: 79150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 13*n**3 + 97*n**2 + 13*n + 5. Let c(l) = -12*l**3 - 121*l**2 - 12*l - 6. Give 4*c(k) + 5*x(k).\nAnswer: 17*k**3 + k**2 + 17*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -3\/2*z**2 + 1\/3*z**4 + 0*z**3 + 0 - 5*z. What is the first derivative of v(f) wrt f?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245349?\nAnswer: 3, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.6 - -2.4. Let k = y + -33.0061. Round k to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h*h**(1\/4))))\/h*h)**11)**(-14\/9) assuming h is positive.\nAnswer: h**(-385\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3583?\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - -1052?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 1 - (-8 + 6)) + (-64 - -61).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.2 - -8.2. Let j = 107 + -325\/3. What is the closest to 2 in l, 1\/2, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 48. Let q = -13 - x. Which is greater: 2\/21 or q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -26. Let z = n - 9. Let o = -228 + 6154\/27. Is z != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3132*d + 31373477196 - 31373477196 + 1073*d.\nAnswer: -2059*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 4 - -18 - 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(44) - (sqrt(3) + ((2*sqrt(432))**2 - sqrt(3))).\nAnswer: -1728 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = 3*d + 2*h, 21 = 3*d - 3*h. Suppose 5*f + d*i = 29, -i - 4*i + 3 = -3*f. Which is smaller: 21\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136260 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2195?\nAnswer: 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*l**2\/15 - 886*l\/5 - 484\/15.\nAnswer: 2*(l - 121)*(11*l + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*g + 24*g - g - 5*g + g + 3*g + 3*g - 2*g - 3*g + (-5 + 5 + g)*(3 - 2 + 0).\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 8:35 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 5*h - 18807018*h**2 + 3*h.\nAnswer: -18807018*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 10. Let x = -5 - z. What is the third derivative of -2*s**4 - 2*s**6 + 2*s**2 + 2*s**x wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -78. Let t(g) = -24 + 24 - 6*g - 27*g**s - g**3 + 0*g**3. List the prime factors of t(-27).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4546, -9092, -13638?\n\"Answer: -4546*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*p - 34, -3*b - 14 = 29*p - 31*p for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12899604 - -2.\nAnswer: -12899602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(13*u - 6*u + 12*u) + 2*u + 0*u - u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p**(-1\/4)\/p)\/p)\/p)\/p**(-6))**(-4\/11))**(1\/2) assuming p is positive.\nAnswer: 1\/sqrt(p)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000054912 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-74)\/1 + (-2)\/(-1). Let i be 732\/20 + (-2)\/(-20)*4. Let a = i + p. What is a rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3282 + 3389. Solve 33 = -28*u - n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 16. Does 6 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -5. Let z(p) = 3*p - 32. Let o be z(18). Let k = c + o. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 11284?\nAnswer: 11284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-12)\/(-3))\/(8 + (-20 - -11)). Let n be (6\/4)\/((-2)\/(-60)). Suppose -2*m - m + n = 0. Solve -f*q - 4 = -o + 2, 5*q = o - m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690334157.\nAnswer: 83, 709, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 - 3*x**2 - 718*x + 2957. Determine w(4).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) 1.8 (c) -1672975\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -61, -182 in decreasing order.\nAnswer: -2, -61, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69383776.\nAnswer: 2, 7, 11, 29, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s - 33476 = -16570 - 16554 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**4\/4 - n**3 - 3*n**2 - 2*n. Suppose 47 = -y - 13. Let d = y + 66. Let h(b) = -b**2 - b - 1. Determine d*h(m) - q(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2812 (base 12) to base 15\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 75*k. Let d(a) = a**2 + 53. Give g(d(n)).\nAnswer: 75*n**2 + 3975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 16. Let y be d(-13). Suppose -34 = -y*s + 6. Let z be (3 + -1)*6\/s. Solve -i - 2 = z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k = 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 84*q - 1. Let v be j(-1). Let h = v - -130. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15923, 15875, 15827, 15779?\nAnswer: 15731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 558 - 558.035. Let u = -7\/4 + 2. Put 0.1, t, u in increasing order.\nAnswer: t, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55\/327, 5, -1\/2, 3\/5 in ascending order.\nAnswer: -1\/2, -55\/327, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -2373516\nAnswer: -2\/593379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 3*x + 2. Let b be r(-1). Suppose 0*d - 3*d + 5*m - 5 = b, -5*d + 5*m = -5. Suppose -33 - 22 = -d*z. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from essbsmessbbesbcss.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 6 = 4*t, -18 + 16 = -2*t + 2*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -33*u + 1. Let f be a(-1). Suppose f*h = 7384 + 212970. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 12*q - 1 = -9*a - 16*q - 5, -2 = 4*a + 2*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 4, -47, -132, -251, -404, -591?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 337\/5 + -339\/5. Let o(w) = -w + 2. Let g be o(-2). What is the closest to s in -4, 5, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 176.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1454*w + 1493*w = -78. Which is greater: w or -63\/107?\nAnswer: -63\/107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3 - (-42 + 43). Which is the biggest value? (a) -24 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 10*l - 10. Let w be t(-8). Let r be -7*(5 - (-38)\/(-7)). What is the closest to 0.1 in w, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 6*m**2 + 6*m + 7. Let f be k(7). Suppose q + f*q = 2. Solve -q*t = 1 + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*l**5 + 1224*l**4 + 603*l**3 + 75*l**2.\nAnswer: 3*l**2*(l + 25)*(4*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -82 + (21 + -30 - -4) - -24\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Suppose l - 2*y = 6, g*y = -0*l + 5*l - 16. Find the third derivative of -2*x**3 - 5*x**2 - x**2 + 3*x**l wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.12 (b) -2\/3 (c) 0.4 (d) -5\/28 (e) -64303\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/25 of a kilogram?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y + 964 = -65*y - 191 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*o - 250*o + 45 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 2*f**3 - 6)*(0*f - f + 0*f) + 2*f**3 - 2*f**3 + f**4 + (-4 - 3 + 6)*(-1 + 2*f**4 + 1) as w + q*f**2 + k*f**4 + i*f + b*f**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 122210022120121?\nAnswer: 122210022120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-35 - (15 + -39)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15654000 and 78000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 5. Let c be y(-3). Suppose 5 = 2*v + 1. Let u = v - c. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57759*u**2 - 7872*u wrt u?\nAnswer: -115518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odfyfwoyfwyvdw. What is prob of sequence off?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250 a factor of 24282500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sos when three letters picked without replacement from oooss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245139712 by -284.\nAnswer: 863168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d8c - -2?\nAnswer: d90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/(-10)*185\/(1443\/(-39))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -815824*x**2 + 183696 with respect to x.\nAnswer: -1631648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 259154900 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 45*t - 102. What is the hundreds digit of f(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55*(-19)\/570*(-192)\/1408?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from oehhhrhhohohhhhomhr?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3073 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 34 = 4*s + t, -t = 2. Solve -3*r + 3*v - 17 = -4*r, 0 = -2*r - v + s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnbp. What is prob of picking 2 x and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 15*f**3 + 24*f**2 + 12*f.\nAnswer: 3*f*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -42. Let f = 17 - 19. Let i = f - -1.8. What is the closest to i in k, 2\/9, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 6 + 5)*(2*i**3 + 3 - i - 3) in the form n*i + s*i**2 + g + o*i**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/41153855 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62270?\nAnswer: 2, 5, 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1495, -459, 1259, 3653, 6717, 10445, 14831?\n\"Answer: -i**3 + 347*i**2 + 2*i - 1843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 1 + -22 + 13 + 6)*9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1148 - 1140. Let t(x) = 2*x + 5. What is the remainder when t(4) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((2 - -2) + 2 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 3:13 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -25. Let z = n - 30.72. Sort -0.1, -1, z in descending order.\nAnswer: z, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2947*i + 645215 - 645215 as k*i + y and give k.\nAnswer: 2947","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -0.00178?\nAnswer: 0.39822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/5 + 148*s\/5 + 2738\/5 = 0. Calculate s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2514, 4935, 7454, 10125, 13002?\n\"Answer: 9*t**3 - 5*t**2 + 2373*t + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 0*o**3 - 7*o**3 - 1 - 3*o. Let n be c(-1). Is 15 a factor of (-132)\/(-9) - (-2)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1775, -1764, -1753, -1742, -1731, -1720?\nAnswer: -1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/21, 0.199, 0.717?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -9, 11, 53, 123?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(sqrt(11) + (1 + sqrt(11))**2*-1).\nAnswer: 2*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152 * -126537.\nAnswer: 19233624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(((-28)\/(-4))\/(-7)). Solve g*a = 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 205386645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-2 - 10269\/(-6)). Suppose -5244 = -106*u + 103*u. Let q = u - o. Find the common denominator of q and 4\/29.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 84288, -16 in increasing order.\nAnswer: -21, -16, 84288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50412\/53 bigger than 950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - l = 7, -3*d - l = -11 - 6. Solve 2*j - d*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 66)*(-14*j**2 + 1 - 17*j**2 + 10*j**2) to d*j**2 + t*j + z and give d.\nAnswer: 1365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(2\/9))\/x)*x)**(13\/6)\/(x**0)**(-13\/5) assuming x is positive.\nAnswer: x**(130\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**5\/60 + u**4\/3 - u**3\/6 - 13*u**2. Let r(a) = -a**2 + 12*a + 8. Let g be r(12). What is z(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 5*u - 4. Let b(z) = z**2 - 3*z - 6. Let d be b(-2). Let l be i(d). What is the third smallest value in -2\/9, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/159780 and 167\/450.\nAnswer: 2396700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -24*q**2 - 122*q + 563. Give v(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28192 by -8.\nAnswer: -3524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1838 + -237. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**5\/9 - 36100*n**4\/9 + 388808*n**3 - 29109112*n**2\/9 + 46708220*n\/9 + 26450900\/3 = 0.\nAnswer: -9121, -1, 5, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**3 + 6 - 3\/4*g**4 - 21\/2*g + 9\/4*g**2 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127.897*4\nAnswer: 511.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10548103?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 5*s - 7. Let h be z(5). Let i(v) = -3*v + 3. Let g be i(h). Calculate the highest common factor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/11 - (-120)\/66. Solve 0 = -4*a + l*w - 0*w - 4, 0 = -2*a + 2*w - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -288*i - 21. Let h(o) = -72*o - 5. Let j(b) = -9*h(b) + 2*r(b). What is the tens digit of j(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1466.9686 - -20.\nAnswer: 1486.9686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110101001000 - -1011111000100001?\nAnswer: 1110101101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v = -20*v - 15. Suppose 3*f = -5*x + 300, 2*x + v*f - 56 = 83. What is the remainder when x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/((-6)\/8 + 45\/(-60)). Solve -i*z = -50 + 26 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/756*-21*20\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*k - r - 14, -r = 2*k - 10. Let h be k - 8 - -4 - -1. Which is the nearest to 0.1? (a) 5\/4 (b) -2\/11 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12692300977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 6:42 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 37, 86, 151?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 17. Let l be r(-16). What are the prime factors of ((-8)\/6 + l)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16a + 1?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59, -44, -11, 46, 133, 256, 421?\n\"Answer: o**3 + 3*o**2 - o - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 459*h**2 - 2 + 517*h**2 - 912*h**2 in the form k + n*h**2 + a*h and give n.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 62, -17 in increasing order.\nAnswer: -17, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 44*b**2 - 6*b + 32. Let r(j) = -84*j. Give r(t(s)).\nAnswer: -3696*s**2 + 504*s - 2688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*x = 3*x + 7, 0 = -3*h - x - 13. Let s(k) = k**3 + 3*k**2 - 3*k + 4. Let i be s(h). Let o(z) = z + 257. Is o(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 382*r + 5107. Give m(13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - -2 - (4 + -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*x - 20*x - 84*x + 42*x.\nAnswer: -117*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5.7929 * 2.28\nAnswer: -13.207812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1190 and 29393.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -151183242*f**3 + 269857219 wrt f.\nAnswer: -453549726*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.56 - 0.16. Which is the nearest to -1? (a) 0.5 (b) d (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93958 and 48272?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75059, 4, 0.1 in descending order.\nAnswer: 4, 0.1, -75059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468968, -1875877, -4220726, -7503515, -11724244, -16882913, -22979522?\nAnswer: -30014071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/12 + c**2 - c. What is z(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 5, -5\/36, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -303034 (base 5) to base 8\nAnswer: -23051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22076391 to the nearest integer?\nAnswer: 4699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 5*f + 10. Let j be w(-6). Suppose j*k = -5*b + 33, -4*k + 6 = 2*b - 12. Solve -b*p + 17 - 2 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110148?\nAnswer: 2, 3, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 15, -16.\nAnswer: -16, -1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/6*(-7)\/(21\/1338). Suppose i = -3*l - f, -4*i = l - i + 361. Let q = l - -529. What are the prime factors of q?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54751 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:09 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -1\/4, 0, 0.4, -0.005?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104425.9ml to litres.\nAnswer: 104.4259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 1060*p**3 - 6*p**2 + 4*p**2.\nAnswer: 1060*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 145*g**2 - 2688*g + 7764. What is x(15)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -1866.\nAnswer: -1870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316721?\nAnswer: 367, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -26\/3467?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -2\/11, -2\/3, 1\/847455, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 937154093 to the power of 1\/2, to the nearest integer?\nAnswer: 30613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(26)\/sqrt(32) - (-3 + sqrt(39)\/sqrt(3) + (sqrt(13) - (sqrt(26)\/sqrt(2) + sqrt(13) + 5) - sqrt(13))))*1.\nAnswer: sqrt(13)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -1\/120*c**5 + 0*c - 1\/12*c**4 + 0 - 8*c**2 - 1\/4*c**3. Factor r(k).\nAnswer: -(k + 1)*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -304 + y + 3*y + 6*y - y**4 - 8*y as l*y + z*y**3 + b + x*y**4 + a*y**2 and give b.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 3*o)*(1363*o - 2824*o - 2355*o - 539*o) + (-o + 5*o - 2*o)*(0*o - o + 0*o).\nAnswer: -13067*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578321?\nAnswer: 167, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/31)*t**(-1\/12)*t*t*t\/(t*t**8)*t\/(t*t*t\/((t\/(t\/(t\/(t**6\/t))))\/t)))**9 assuming t is positive.\nAnswer: t**(-13413\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17641*g**2 + 0*g**3 + 0*g**3 + 17663*g**2 + 3*g + 0*g**3 + 388*g**5 wrt g?\nAnswer: 23280*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84\/18 - 4\/(-3). Suppose -130 = -5*l + 4*k + 33, x = -3*k. Let w = l + -8. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1) + 25*1. Suppose 24 + 11 = 5*g - 5*n, -2*g + 20 = -4*n. Suppose -a = g*a - h. Solve p + 2*f + 2*f + 12 = 0, 0 = a*p - 2*f - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.196 + 0.004. Let r = 61 + -60.65. Let k = r + -0.05. Which is the biggest value? (a) m (b) k (c) 1\/3 (d) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 171*d - 130*d - 94*d + (0*d + 5*d + 7*d)*(-5 + 3 - 2).\nAnswer: -101*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 6 + 0)*(4*a - a - a) + 9*a - 3*a + 8*a)*(-1164 + 1214 - 5*a**4 + 3*a**4).\nAnswer: -36*a**5 + 900*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - t + (-81 - 224 - 88)*(0 - 3 + 1 - t).\nAnswer: 392*t + 786","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28745941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 5594443.\nAnswer: 5594443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 6. Suppose 0 = 5*f - y + 17, -g*y + 21 - 3 = -4*f. Let j be f\/(-2)*224\/48. Is j > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.065 - 0.035. Let v = -0.66 - -0.6. Let s = 8 - 6. Which is the third biggest value? (a) v (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**2 + 0*l**2 + l**2 - 1 + 4*l - 4*l + 2*l**2 + (-29 + 80 + 4)*(4*l**2 - l**2 - 2*l**2) as z*l + p + o*l**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g = -12*g + 2*u + 20, 9652*u - 9650*u + 20 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1195321 is divided by 161.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 3. Let h be k(2). Suppose 22*y - 5 + 51 = 112. Solve a + y - h = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3768)\/(-30) - (-2)\/5. Suppose l = 3*o - 2*k - 21, 0 = 3*o + k - 138. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4}. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2. Let y be 0\/1 + (-4 - 18). Let n = y + 24. Let t(v) = 2*v + 7*v - n*v - v. Give x(t(z)).\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w*w**12*w)*w\/(w\/(w\/w**15))*w**11*w*w**(-15) assuming w is positive.\nAnswer: w**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -1392347 = -1392352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*j + 4*n = -60*j + 16, 3*j + 5*n + 2 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/84 + (-68)\/(-14) + -5.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 158336.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 1 + -3 + 5. Let f(n) = -n**3 - 5*n**2 - 2*n - 1. Let a be f(w). Calculate the remainder when 49 is divided by 3*(-3 - 78\/a).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47823644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.885 - 17. Let v = g - -0.083. Let n = 0.832 + v. Which is the second smallest value? (a) n (b) -1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = -0*g. Let i be (2\/4)\/((-9)\/36). Let h(d) = -2*d - 1. Let w be h(i). Solve f + g = 2*j, 3*f - w = -6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.03 + -0.03. Let p = -4319 - -38869\/9. Sort -1, x, p in increasing order.\nAnswer: -1, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*j - j + 2*j)*(-3 + 1 - 1)*(6*j + 0*j - j) to the form w*j**2 + a + v*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 386\/112 - (-16)\/(-28). Let v = 111\/299 - 5\/23. Which is the third biggest value? (a) k (b) -7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 3, -13, 4 in ascending order.\nAnswer: -13, 1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1709 - -287.9709. Let f = 361 - b. Let d = f - 75. Is 0.1 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = -65. Let w = -13 + m. Suppose -p + 5 = w, 9*p - 10 = -5*o + 4*p. Let i(x) = x**3 + 5*x**2 + 2*x + 1. Give i(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 2*w**2 + 2*w + 2. Let x(m) = m**3 - m. Let d(v) = -k(v) + 6*x(v). Factor d(b).\nAnswer: 2*(b - 1)*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -77*x**2. Let y(a) = 292*a. Determine p(y(m)).\nAnswer: -6565328*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = 1. What is the lowest common multiple of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**5\/20 + 3*k**2\/2 - 2*k. Let s be m(0). Let z(p) = 2*p - 13. Let o be z(6). Put 2, o, s in descending order.\nAnswer: s, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11886773*o*x**2 + 11738000*x**2 wrt o?\nAnswer: 11886773*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 436*s + 440.\nAnswer: -4*(s - 1)*(s + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1375021711*r**3 + 960*r**2 - r + 14616?\nAnswer: 8250130266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.35 - 2.35. Let q = -76 - -80. Let w = -1952\/15 - -130. What is the closest to z in q, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17901?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10183954 >= 10183953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2440 is divided by 1199.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylj when three letters picked without replacement from {l: 2, y: 2, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 33*m**2 - 194*m + 60. Let l be g(5). Let n(r) = 25*r. Let z be n(4). Calculate the highest common divisor of z and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -243 - -475. Suppose -2*x = -5*x + 87. Calculate the highest common divisor of x and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/5 - 31\/5. Let j = 8 + k. Solve j*h + 4 + 0 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400)*4 - (sqrt(126)*-4)\/sqrt(9))\/(5*((1*sqrt(24))\/sqrt(12) - (sqrt(288) + -1*sqrt(288)))).\nAnswer: 44*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -6. Let i be f\/2 - 32384\/(-4). Suppose -i = 3*c - 2*j, -4*j - 10802 = 4*c - 2*j. What is c rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -21 + 6, -2*n = 2*l - 84. Suppose -44*b = -n*b. Solve 4*u - 4*r + 36 = b, -3*u + 0*r - r - 11 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 32*z**2 - z. Let h(r) = r**2 - 4*r + 1. Let b be h(4). What is the remainder when o(b) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1, 35, 6430, 3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7999*f + 7139?\nAnswer: -7999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 345 or 340?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11782732.\nAnswer: 2, 13, 347, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19161 + 77149. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6072.7275 days in weeks?\nAnswer: 867.5325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 11 + 1 + (4536\/(-18))\/14.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - c**2 + 11*c**3 - 6919*c - 1 + 6919*c as y*c**2 + t*c + s + d*c**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {x: 2, s: 2, b: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/33 and 151\/210.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/425 and -79\/2380.\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 1, -366 in descending order.\nAnswer: 6, 1, -4, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163657 - 93909. Suppose i - q = 48608. Let n = i - 79356. What is n rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - (-43 + 53 - -26).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5.3. Let o = 832\/99 + -74\/9. Let a be ((-4)\/(1 - -3))\/(-6). What is the closest to -1\/2 in o, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 52*b = -56*b, 5*q = 2*q - 2*b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*n**2 - 23*n**2 - 75*n**2 + 24*n**2.\nAnswer: -139*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -113, -191, -269?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/4)\/((-390)\/(-80) + -5). Suppose -t - 2*t + 30 = 0. Calculate the greatest common factor of t and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4263 is divided by 354.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 844*s + 36*s**2 + 415*s + 427*s as f + q*s + r*s**2 and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 1. Let o be i(6). Suppose 5*w = o*w - 44. Let z(t) = t**2 - 7*t + 2. Calculate the lowest common multiple of z(7) and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 7*k**2 - 5*k - 3. Let j be a(6). Let v(x) = 2*x + 0*x**2 - 3*x**2 + 3*x**3 - 4*x**j. Let r = 15 - 18. Determine v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 0.0492313?\nAnswer: -0.0507687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(1\/16)*m*m**(2\/5) assuming m is positive.\nAnswer: m**(197\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**5 + 1544*q**4 - 7608*q**3 - 4624*q**2 + 19772*q + 15240 = 0.\nAnswer: -1, 2, 5, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + -0.27. Which is the biggest value? (a) l (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-2400)\/(-230))\/(-15))*-4\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 35079 and 35080 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 3*k**2 + 2*k - 4. Let u be n(-4). Let f = u - 0. Suppose 4*r = -f*z + 16, 2*r - 3*r = -3*z + 4. Solve 0 = o + r*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1321.029975 + -1321. Let a = v + -0.03. Round a to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -269, 3\/2, -11, 2.\nAnswer: -269, -11, 3\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48.96 + 2.96. What is the third biggest value in 1\/6, 6\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 6*r**2 + 257*r - 1684. Calculate n(9).\nAnswer: -1315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**3\/3 - 4*a**2 + 4*a + 7. Let d be f(-7). Find the second derivative of -d*s**5 + 14*s + 2*s + 9*s**5 wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*m - 44172, 2*m + 8*k - 5*k = 29443. Calculate the highest common factor of 572 and m.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13114 + 26*f**3 - 13114 + 7*f**3.\nAnswer: 33*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -11 - 9. Let i = -69 + 135\/2. Sort z, i, -1\/2 in descending order.\nAnswer: -1\/2, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*r - 1844 = 0, -2*i + 2*r + 1514 = -326. What is the remainder when i is divided by 244?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 4036.\nAnswer: 36324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {j: 6, r: 1, s: 1, l: 3, k: 3, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -455 - -20?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5824*o + 2831*o + 1 - 1 to the form w*o + g and give w.\nAnswer: 8655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 14*m**2 + 17*m + 34. Let v be q(-15). Suppose v*s - 32 = -w - 9, -5*w - s = -20. Suppose 17 = -w*l + 134. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n. Let c(t) = 14*t**3 + 12*t**2 + 10*t - 8. Let l(m) = -22*m**3 - 18*m**2 - 15*m + 13. Let a(k) = -8*c(k) - 5*l(k). Calculate -a(s) - 5*r(s).\nAnswer: 2*s**3 + s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (4 + (1 - (2 - (-4 + -1)))) - 43?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -382, -374, -360, -340, -314, -282?\n\"Answer: 3*b**2 - b - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + k**2 + 4. Let s be w(0). Suppose -4*b = 3*j + 75 - 24, s*j = -b - 16. Let m = b + 26. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/16 and -47\/47373762.\nAnswer: 378990096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - (82 + 24 + 21 + -99)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1703, 5, 76, -4, 3, 1, 2 in descending order.\nAnswer: 1703, 76, 5, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 13*y - 101. What are the prime factors of y?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**6\/30 - 5*i**3\/3 + 16*i**2. Let l(u) = u**3 + 3. Calculate 3*k(q) + 10*l(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s - 264 = 0. Let c = 455 + s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -13 - (-13 - -23 - 9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)*2 + (sqrt(288) - (sqrt(288) - (sqrt(288)*2 - sqrt(288)))) - 4*sqrt(10)\/(-2*sqrt(5)).\nAnswer: 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -21*s**4 - 972*s**3 - 11385*s**2 - 3174*s = 0?\nAnswer: -23, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 199 + -116. Suppose a = 7*h + 6. Calculate the remainder when h is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14364*s = 470*s - 416820 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1612104124 + -24\nAnswer: -1612104148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12113 + 19474. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 3376072222877.\nAnswer: 3376072222877.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16570, -16571, -16572?\n\"Answer: -j - 16569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -1 - (-10 + 11). Suppose z*h - 18 = -4. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78337, -78210, -78083?\n\"Answer: 127*n - 78464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 16 = 4*u + 6, -w = -2*u. Let y be (1\/(w - -3))\/(-1). Which is the third smallest value? (a) -5 (b) -1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*k = -1329, 0 = 4*k - 0*k + 4. Let o = -217 + n. What is the greatest common divisor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 5\/2502227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 1000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a milligram in micrograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (748 - 5*y**2 - 748 + (-4*y + 4*y + 2*y**2)*(-1 + 1 + 1))*(-147 - 93*y + 147) in the form h*y + b*y**3 + s*y**2 + d and give b.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 668823*r**2 + 3*r + 49025?\nAnswer: 1337646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2377258823 to the nearest 100000.\nAnswer: -2377300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**5\/20 - t**4\/12 - t**3\/6 + 3*t**2 - 13*t. Let w be p(0). Solve -2 = -w*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -63*y**2 - 256*y - 19. Determine m(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + d)*(-8*d + 3*d + 13*d) + (-d + 4*d - d)*(1 - 1 - 2*d).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60 + 31307?\nAnswer: 31367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + b + 2*b + 24 = 0, -2*p - 12 = b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by 1?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w + 0 - 473*w + 0 + 52*w.\nAnswer: -415*w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13*a + 2. Let q(d) = -12*d - 2. Determine -2*q(i) - 3*s(i).\nAnswer: -15*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 63258059 and 1.\nAnswer: 63258060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 243668315*o**3 + 382930202*o?\nAnswer: 1462009890*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -12. Suppose 2*o - i = o. Let t be 4\/36 - (2 - 156\/54). What is the greatest common divisor of o and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 562 + -574.58. Let a = 0.52 - b. Let s = a - 13. What is the second smallest value in 2\/7, s, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(3*(-1)\/(-15)). Suppose 3*m - n = -m. Is m at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6551.365 milligrams in micrograms?\nAnswer: 6551365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (77\/22)\/(1\/20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 - -0.1. Let o = -164 - -168. What is the second smallest value in o, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 17*u**2 + 17*u + 5. Is 22 a factor of a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21070910 rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**5 - 11*p**4 - 42*p**3 - 70*p**2 - 53*p - 15 = 0.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 6:46 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -277\/6. Let f = -5374.8 + 5378.8. Let m = -134\/7 - -19. Which is the biggest value? (a) i (b) m (c) -0.4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 32*i**2. Let v(u) = -9*u. What is f(v(d))?\nAnswer: 2592*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.376502kg in grams?\nAnswer: 2376.502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -293.9 + -16.1. Let t = 309.9998618 + x. Round t to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*v + 5*n - 259, -5*v = n - 312. Let t = -22135\/2028 + -1\/507. What is the common denominator of t and (2\/22)\/(4\/v)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(3*(5 + 4 + sqrt(3)*-1) + -2)*-1)**2.\nAnswer: -60000*sqrt(3) + 260800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*k = 185, 3*k - 225 = -7*x + 12*x. Let h(y) = -7*y**3 + 2*y**2 - 2*y. Let a(z) = -70*z**3 + 21*z**2 - 21*z. Determine x*h(s) + 4*a(s).\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -3*z**5\/80 - 111*z**4\/4 - 8133*z. Factor x(f).\nAnswer: -3*f**2*(f + 444)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**7\/10 + 5*r**4\/24 + 9*r**2 + 14*r. Let u(s) be the first derivative of y(s). Find the second derivative of u(m) wrt m.\nAnswer: 252*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14754 + -83319142.\nAnswer: -83333896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let t(m) = 53*m + 1. Let b(j) = t(j) - 6*u(j). Let a(v) = -3*v**2. Calculate b(a(k)).\nAnswer: -177*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -0*f + 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 32 - 168 + 860*m.\nAnswer: 860*m - 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) -12 (c) -8 (d) 0.3 (e) 0.1 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/3)\/(-9)*-5)\/((-95)\/(-38)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3538 and 2310619?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*q - 150*q = 0. Solve b + 7 - 2 = q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 218 - 57. Find the second derivative of -u**2 - 4*u**2 + k*u + 157*u - 392*u - 3*u**2 wrt u.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13345 - -23146. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -3*h - 37. Suppose 0 = -w - b + 38, -h = -2*w + 3*b - b. Solve -2*y + 6 = 4*g, 4*g = y + 3*y + w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -927 by 1623.\nAnswer: -309\/541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from yyyyyyyknyyi?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -36048 divided by 8?\nAnswer: -4506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4082 - 16922*n - 4082.\nAnswer: -16922*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/33 or 47321?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 350315098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -15 - b**3 + 6*b**2 - 3*b + 15. Let q(f) = -61*f + 200. Calculate the remainder when q(3) is divided by v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036077746?\nAnswer: 2, 11, 4281313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((1312 + -1312 - (3 - (-1 + 2))) + 36)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 13\/5 (c) -0.4 (d) 1 (e) -0.02151 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11048 + -11052. Suppose -5*f - 5 - 5 = 0. Let x be (-2)\/(-4) - 1\/f. What is the nearest to 2 in b, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**5\/60 + p**4\/6 + p**3\/6 - p**2. Let z be t(-4). Does 4 divide 11 - (5 + (-1)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h - 1 - 6 - 4*h**2 - h**3 - 2*h. Let i = -18 - -13. Let b be q(i). Is -1 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**8\/560 + 4*p**7\/25 - 3*p**6\/10 - 83*p**5\/50 + 283*p**4\/40 - 57*p**3\/5 - 365*p**2. Suppose a(o) = 0. What is o?\nAnswer: -57, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846758440.\nAnswer: 2, 5, 11, 17, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 147196858 to the power of 1\/2, to the nearest integer?\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + 11.04. Let w = n + -6. Which is the third biggest value? (a) 3 (b) w (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*t**2 - 17*t**2 - 25*t - 8 + 28*t.\nAnswer: 41*t**2 + 3*t - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7269*q**4 + 2*q - 210.\nAnswer: 87228*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/8? (a) 4 (b) 6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*r**3 + 18*d**3*r**2 - 4*d**3 - 124*d**2*r**5 wrt r.\nAnswer: -6*d**3 - 7440*d**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92 or -198?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + -5 + (-2 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149107, 149116, 149147, 149212, 149323, 149492, 149731, 150052?\nAnswer: 150467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1445696 divided by -112.\nAnswer: 12908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*s**4\/4 + 613*s**3\/8 - 693*s**2\/2 + 81*s\/8.\nAnswer: -s*(s - 9)**2*(34*s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = 21*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 316504 - -75?\nAnswer: 316601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d**2 - 11*d - 3. Let s(h) = 4*h**2 + 6*h + 2. Let f be 7*(-15)\/70*-2. Determine f*k(r) + 5*s(r).\nAnswer: -r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -7*n**4\/2 + 13270487*n**3 + 193370311*n**2\/2 + 26541025*n = 0.\nAnswer: -7, -2\/7, 0, 3791575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1297467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j + 21*j**2 - 15 - 13 + 10*j**2 + 4*j**2 + 29 to the form y*j**2 + l + f*j and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/6, -2\/5, 5, 0.046 in decreasing order.\nAnswer: 5, 0.046, -1\/6, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10111 - 21?\nAnswer: 10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.02 - -1.09. Let k = n - -0.58. What is k rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*x - 387*x**2 - 390*x**2 + 4*x + 779*x**2 + 13 in the form w + d*x**2 + r*x and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 2. Let r be v(-5). Suppose 11*w - r = 9*w. Find the third derivative of -k**w - 13*k**2 - 6*k**6 + 5*k**6 + 8*k**6 wrt k.\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11)\/(44\/(-10487)) - 6\/8?\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -21*j - 31, -4*j - 68 = 4*o + o - 96 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*1)**2 + 4*(sqrt(5) + 0).\nAnswer: 4*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 96 = 3*q, b + 22 = 4*q + 138. Let p = q - -25. Put p, 1, 2 in descending order.\nAnswer: 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 - 60*h - 10*h - 3*h.\nAnswer: -73*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13048*p**2 - 69*p - 13*p - 12908*p**2.\nAnswer: 140*p**2 - 82*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -338, 4\/5, -4, 0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 20053 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3207092, -6414192, -9621292, -12828392, -16035492?\nAnswer: -19242592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4014849576 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(125\/(-50))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 12*n + 21. Let f(h) = h**3 - 19*h**2 - 7. Let v be f(19). Let t be d(v). Solve -t*p = -2*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 15*f**2 - 75*f - 786. Determine j(10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2. Let r(m) = 3*m**3 + 15*m**2 - m + 1. Determine 4*o(b) - r(b).\nAnswer: b**3 - 11*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 13725.\nAnswer: 13725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -459053340*k**3 - 15212*k**2 - 8019.\nAnswer: -2754320040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 12*h**2 + h + 16. Let j be z(-12). Let d = 3 - j. Let m(k) = -8*k - 1. What is m(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 148094*j*p + 144*j*w**2 + 16*p*w**2 - 2*p*w - 1068*p - 32*w**2 - 2 wrt j.\nAnswer: 148094*p + 144*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77119\/6906 + 1\/3453. Let v = -2180\/7 - -25789\/84. Calculate the common denominator of v and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6866259 - -6866438.99355. Let l = -180 + w. Round l to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2 + 7*s - 9*s + (1 - 1 + 1)*(-2 + 2 + s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 138*g**2 + 2835*g + 142. Does 8 divide z(115)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*t + 0 = -31, 15 = 4*h - t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-4)*1*(-1)\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n + x = 0, n = 5*x. Let a be (-2 + n)*(-1)\/2. Let f = 376\/1305 + -14\/45. Is a != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**3 + 5*d + 2*d**3 + 3*d**3 + 1 - 5*d**2. Let c be w(4). Suppose c*x - 363 = -2*o - 32, 2*x + 4*o - 126 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516356289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 - 144. Suppose -2 = -2*r - 2*x - y, -3*r - 147 = -3*x. Calculate the common denominator of r and 23\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -120.4.\nAnswer: 481.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -21, 2\/3, -6\/11, -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3161972 divided by 22748.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 424*q**2. Let g(a) = -1 - 176290*a**2 + 1 + 176294*a**2. Calculate g(v(b)).\nAnswer: 719104*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -14*j**3 - 1639*j**2 - 121*j - 458. What is k(-117)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -22, -85, -204, -397?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/57 (b) 0.3 (c) -4\/19 (d) 2 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5446672 at most as big as -21786685\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19c107 + 3b?\nAnswer: -19c099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7214784 is divided by 1510?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/(1\/5). Solve 0 = -w*z - 1 + 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 34. What is the highest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124*87209.\nAnswer: 10813916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -875, -2\/15, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -2\/3*z**3 + 25\/24*z**4 + 1 + 19\/40*z**6 + 0*z - 7*z**2 - 1\/30*z**5. What is the second derivative of h(f) wrt f?\nAnswer: 342*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79.8 * 114.52\nAnswer: -9138.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 17315584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274874 divided by -137437.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Convert 110000101000011 (base 2) to base 3.\nAnswer: 1021011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = 19*z - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-22)*(-3465)\/(-6300)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-9))\/j**(15\/4) assuming j is positive.\nAnswer: j**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -753, -1771, -3303, -5409, -8149?\nAnswer: -11583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 16*a + 5. Let q be h(9). Let n(g) = g**2 + 11*g - 18. What is the remainder when 656\/22 - 0 - (-8)\/44 is divided by n(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*k + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 122903 - (-4 + 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 441*p*s**3 + 7*s**3 + 58 wrt p.\nAnswer: 441*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*a + a. Let l(t) = t**3 - t**2 - 2*t + 5. Let r be l(a). Let p be 14 + 1 + (-14053)\/(-611). What is the greatest common factor of p and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*f**3 + 5*b*f**2 - b*f + 5268*b + f**3 - 1341*f**2 + 3*f + 9 with respect to b.\nAnswer: -f**3 + 5*f**2 - f + 5268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18579 - 18573. Let l(s) = 23*s**3 - 11*s - 15. Let o = 38 + -21. Let q(r) = -8*r**3 + 4*r + 5. Give o*q(m) + u*l(m).\nAnswer: 2*m**3 + 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 13 = 3*f, f - 8 = 4*i - 27. Suppose -2*d + 4*d + 4 = 2*w, 50 = i*w + 5*d. Solve -3*a = -6*a + w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3324 - 1002023?\nAnswer: -1010402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-70)\/7 + 12. Let r(i) = -5*i + 51. Let k be r(n). Put k, 0, -1, -5 in decreasing order.\nAnswer: k, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.303 less than -41122871?\nAnswer: -41122870.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v + 178. Let w be u(-43). Let j(x) = -x**2 - 40*x + 81. Let i be j(w). What is the greatest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/69022 and 2\/7?\nAnswer: 483154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35548 - 2.\nAnswer: 35546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/9 - 356*m**4\/9 - 14336*m**3\/9 + 45260*m**2\/3 - 13454*m = 0. Calculate m.\nAnswer: -93, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 191047161?\nAnswer: -573141483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -19\/13, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/6*6\/8. Let s(r) be the first derivative of -6*r**2 + 6*r**2 - 2*r**3 + r**q - 4. What is the second derivative of s(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-17))\/((-9)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + sqrt(1573))**2 - sqrt(13) - sqrt(13)) + -4.\nAnswer: 20*sqrt(13) + 1567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19129\/1944 - -130\/243. What is the common denominator of 65\/21508 and s?\nAnswer: 43016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2 - 4. Let i be o\/(-7) - 54*37\/(-14). What is the greatest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 23 + 35 = 3*v, 67 = 2*v - 5*f. Solve -9*c + v = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = 5*h - 24*g, -2*h = -2*h + h - 0*h - 4*g + 29 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + 1 - -1 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88803699 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 6 + 3\/(-1). Suppose t*y - 5*m = 137990, -5*m = 4*y - m - 276008. What is y rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -14*w**2 + w - 1. Let q be ((-3)\/3)\/((-14)\/(-910)). Let s = q - -66. Calculate t(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**5\/60 - 5*n**4\/24 - n**3\/6 + 2*n**2. Let y = 17 + -14. Suppose -8*d = -y*d + 20. Calculate s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b + 13. Let m = 140 - 142. Let v be j(m). Let i(z) = z**3 + 8*z**2 + 6*z + 9. Determine i(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*z + 33. Let g = 916 + -332. Suppose z*k - g = 1440. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019815391 to six dps.\nAnswer: 0.001982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/42 and -95\/706776.\nAnswer: 706776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -6*o + 78. Calculate the lowest common multiple of o and 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjjjjpppjqcjpppcj. Give prob of sequence ppjp.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 - 4*v - 3. Let z be d(-2). Let a = 1 - z. Suppose 3*g = g + a. Solve g = o - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 6a?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 134*t**2 - 2*t + 193. Calculate w(134).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20)\/(4*(-1)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 5*q**3\/3 - q**2 + 2*q + 155. Let o(m) = m**2 + 1. Give 4*o(v) - s(v).\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 1208280.\nAnswer: 1208280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 803*j - 804 = 0 for j.\nAnswer: -804, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**3 + 5*a**3 - 13*a**3 + 14*a - 15*a**2. Let n be j(-16). What is p in 0*p**2 - n*p + 12*p + 20 + 5*p**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 9 + -4 + 3 - (4 - 15)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 360571 and -0.1.\nAnswer: -36057.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -149*y - 1873258 + 7049369. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 345, 697, 1049, 1401, 1753, 2105?\nAnswer: 2457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 20*o**3 - 75*o**2 + 90*o.\nAnswer: 5*o*(o - 6)*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 12*z + 16. Let n be l(13). Let b(f) = f**3 - 3*f**2 + 3. Let i be b(3). Suppose n = -i*s + 15. Solve 0 = -3*o, -s = 2*w - 0*o - 2*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -859 times 0.2?\nAnswer: -171.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*i - 243*i - 221*i + 57*i.\nAnswer: -483*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -1, -2\/3, 1\/3032, 2\/13 in decreasing order.\nAnswer: 2\/13, 1\/3032, -2\/15, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.007, 4, 13 in descending order.\nAnswer: 13, 4, 3\/5, -0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 8*q - 9. Let z be x(-7). Let w = -42 - -110. Let y = -2 + w. What is the greatest common divisor of y and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 186 + 138. Suppose 3*f - 5*f = 52. Let d = j + f. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6274 is divided by 6268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1104.4 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-2) - 1\/2. Let o(u) = 169*u + 172*u - 693*u + 179*u + 173*u + u**2 + 1. Let f(t) = -t - t**2 + 5 - 11 - 5*t**2 - t**3. What is s*o(b) + f(b)?\nAnswer: -b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.991 and 0.3.\nAnswer: 1.7973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.5 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 5*g + 3*g + (-1 + 3 - 4)*(-3*g + 0*g + g) + 2 - 2 - g - 28*g - 15*g - 11*g)*(-2 + 0 + 3).\nAnswer: -52*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 15*f + 115. What is h(21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 972750221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**4\/12 - d**3\/2 - 7*d**2. Let l = 2 + -5. Give i(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 0 + g**2 + 0*g**3 + 0*g + 1\/8*g**4. Let q(y) = 17 - 2*y - 17 + y. Give q(o(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, 55, 198, 373, 580, 819?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - v - 6. Let z be n(0). Which is the smallest value? (a) z (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 20*c**2 - 3330. What is s(2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24315, 48296, 72285, 96282, 120287, 144300?\nAnswer: 168321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17025180 divided by -3\nAnswer: 5675060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 110875 and 0.4884 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**3*j)**(-1\/15)*(j*(j*j**3)\/j)\/j**(-10))**5 assuming j is positive.\nAnswer: j**(205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 - -140. What is the biggest value in z, -5\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-2))\/((-40)\/(-20))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 + p + 2. Let h be k(2). Let d = -10 - h. Let u(v) = -v**2 - 4*v - 3. Let g(n) = -n + 1 + 3 - 3 - 2. Give d*g(b) + u(b).\nAnswer: -b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 714582, 714586, 714592, 714600, 714610, 714622?\n\"Answer: p**2 + p + 714580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-148)\/(-10) + 3\/10*(-72)\/27.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 473, 1999, 5573, 12191, 22849, 38543?\n\"Answer: 166*a**3 + 28*a**2 + 280*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 21 - 26 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -131, -189, -247?\n\"Answer: -58*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) - -3*sqrt(784)*1)\/(2*sqrt(288)*-4).\nAnswer: -7*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9)*3 - 0. Which is greater: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4205, 32, 4269?\nAnswer: 8506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:25 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 1, c: 4}. Give prob of sequence ood.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1121 (b) -40 (c) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, f: 1, z: 4, r: 6}. Give prob of sequence bfr.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864864919 to the power of 1\/4, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (11 + -1)) + (-10 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1101010022001 (base 3) to base 4\nAnswer: -2302120303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004495453953 rounded to 6 decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2468 is divided by 194?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65186853 and 3249?\nAnswer: 195560559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 - 2739*g**4 + 21864*g**3 - 43696*g**2.\nAnswer: g**2*(g - 2731)*(g - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 5. Let d be u(-5). Let h = 8 - -49. Let o be ((-18)\/h)\/((-51)\/(-34)). Which is bigger: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10955298481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-10) + (9\/(45\/(-2)) - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 1574274*m**3 + 1574276*m**3 - 41.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 250 = 182. Let u = w + -104. Solve 4*j = -u*z + 4, -2*z + 6 = -2*j - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (50\/(-18) + (-12)\/(-4))*-3. Which is the smallest value? (a) w (b) 0.03 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*3 + (-30)\/45*-9. Let h(a) = -a**3 + 3*a**2 - a - 2. Give h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 6:09 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6634.432kg in milligrams?\nAnswer: 6634432000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -40882*v - 981141. Calculate s(-24).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(14)\/((2*sqrt(2) + sqrt(2))*-5))**2*-5 + (1*sqrt(448) - (2 + sqrt(28))).\nAnswer: -322\/45 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 3*s + 124. Give l(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 - 22*t**2 + 53*t**2 - 17*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/3? (a) -3\/5 (b) 1\/7 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2224*b - 133917 = 509*b for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3364952 and -0.2.\nAnswer: -672990.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d - 312 = 0. Let z = -652 + 655. Suppose 2*y - 103 = n, d = z*y - 4*n + 3*n. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:04 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1409945032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-36))\/((-18830)\/4842)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1)\/v*v*v*v)\/v*v)**(-4))**(1\/2) assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b**5 - 5422*b**4 + 517508*b**3 + 1453500*b**2 - 824850*b - 1140750 = 0.\nAnswer: -3, -5\/7, 1, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/12 or 3?\nAnswer: 19\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 7*x = 12*x + 41, 4*a + 61*x - 58*x + 17 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/23 + 3618*v**2\/23 - 1612056*v\/23 + 1608440\/23 = 0. What is v?\nAnswer: 1, 790, 1018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3743144, 3743145, 3743146, 3743147, 3743148?\nAnswer: 3743149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/93*-1*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10931*d*l**2 - 158*d*l - 2*l - 2 wrt l?\nAnswer: 21862*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 9*v**5\/10 - v**3\/6 - 25*v. Suppose -2*r + 4 = 6. Calculate d(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.936344 - 255.986044. Let u = k - -255. Round u to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3.8 (b) 0.189 (c) 5 (d) 4\/7 (e) -2 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = 4*s + 15, b - 5*s = -1. Suppose 0*v = v - 5. Suppose 3*j = -j - 3*d + b, 0 = v*j + 4*d - 5. Put j, -1\/4, -0.4 in descending order.\nAnswer: j, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {s: 2, k: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -17*a**3 + a**2 + 28*a + 12. List the prime factors of k(-7).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150 or -514\/17?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**4*v**2 - 162*n**2 + 147*n*v**2 + n*v wrt n.\nAnswer: 36*n**2*v**2 - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 158507 + -4?\nAnswer: 158503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1437.84980012 - -1438.1498. Let b = f - 0.3. What is b rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2501148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1773 * -56.\nAnswer: -99288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -339*u**6 - 467*u**2 - 1 wrt u?\nAnswer: -40680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.7 + -3.3. Let r = n - -8. Let x = 5.3 + r. Is 0.1 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32+-1701599.0925208\nAnswer: -1701631.0925208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -17*j**2 - 529*j - 13. Let x(z) = 20*z**2 + 534*z + 16. Give -6*k(b) - 5*x(b).\nAnswer: 2*b**2 + 504*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158985, 158983, 158979, 158973, 158965, 158955, 158943?\nAnswer: 158929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/12)*i)\/(i**(9\/2)\/i))**(-4\/11))**(-11) assuming i is positive.\nAnswer: i**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbmb. What is prob of sequence mmbb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 11. Let k be u(7). Suppose -k*j + 1474 = 3*s, -5*s - 59 + 2504 = -5*j. What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-14 - v + 5*v + 15)*(-2*v + 5*v - v)*(-10 - 4 + 5).\nAnswer: -72*v**2 - 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.6 (c) -2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 6*x + 8*x - 60 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 74*y - 196 - 270 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 358 + -165. Let o = l + -113. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -211*g + 57. What is r(0)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -342*d**4 - 7*d**2*y**3 - 7223*d**2*y + 5*d*y**3 + 2*d*y + 56*d - 2*y**3 + 4*y**2 + 2*y wrt d?\nAnswer: -4104*d**2 - 14*y**3 - 14446*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 850632630 by -6.\nAnswer: -141772105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5*32340\nAnswer: 161700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/(-12))\/((-6)\/(-16)). Suppose -n*t = -4*t + 2. Let q be -1 + t\/12*-3. Is q > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + -7.16. Let g = k + 9. Which is the third biggest value? (a) 0.5 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 170 - 169.424. Let b = 29.676 - f. Let p = b - 29.10000143. Round p to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 3:07 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*i - 124, -2*i - 5*k = -54 - 94. What is the units digit of (3 - (i + 0))*(10 + -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 860 + -864. Which is the nearest to 0? (a) -1 (b) y (c) -2\/19 (d) 3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 - 19*b**3 + 8*b**2 - 47*b**3.\nAnswer: -66*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/((-7 + 1)\/42). Let j = a - -435. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311 (base 6) to base 4.\nAnswer: -1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/(b*b**7))**(-5\/8) assuming b is positive.\nAnswer: b**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*v + 356*v - 712*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6\/t**5*t**(-2)\/(t**(-2)*t))**37)**14 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + r + 360, -4*r + 634 = -12*h + 17*h. Calculate the remainder when 16713 is divided by h.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46878 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -433*b**2*t - 845*b**2 - 49*t + 10144 wrt b?\nAnswer: -866*b*t - 1690*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/7)*a**(-6\/17)*((((a*a\/a**(-4)*a)\/a)\/a*a)\/a*a)**(-1\/4) assuming a is positive.\nAnswer: a**(-577\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**2 - 2*w - 1. Let l(a) be the third derivative of 0*a**3 + 0 + 1\/60*a**5 + 0*a + 0*a**4 + 6*a**2. Give 5*l(s) + t(s).\nAnswer: -s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a litre in millilitres?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**3 - 265*q**2 - 65*q + 57. What is b(-66)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 464267047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 381 times 19695.9\nAnswer: 7504137.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 79\/4 - 8\/(-32). Suppose 44 = -m - 3*c, 2*c - 3*c = 0. Is 2 a factor of m\/(-10) - 8\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44418 - -2271.619.\nAnswer: 46689.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2324*v = -2325*v - 5, 0 = 3*n + 3*v + 15. Which is the fourth smallest value? (a) n (b) 1\/3 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 12, m: 1}. Give prob of sequence mm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -100*t**4\/3 + 320*t**3\/3 - 92*t**2 + 24*t = 0. What is t?\nAnswer: 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -788? (a) 5 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1580 times -118173\nAnswer: 186713340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 6:38 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 2*a**3 + (2*a**2 - a + a)*(2*a + 3*a - 4*a) + (17*a**2 - 4*a**2 - 3*a**2)*(2 + 3*a - 2).\nAnswer: 34*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-15)*3\/2. Let i = -4 + n. Let f = i - -5. Sort 1, 3, f in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Find the second derivative of -f - f + 0*f + 0*f - j*f**3 wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 + 0)*(2 - 2*i**3 - 2 + (-i**2 + 5*i - 5*i)*(32*i + 257 - 257)) as y*i**3 + s*i**2 + f + q*i and give y.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(-284*c - 309*c - 459*c + 187*c).\nAnswer: -1730*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2120213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -329220000 to the nearest one million.\nAnswer: -329000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-6) - 2 - 0 - 2. Let o = 3 - 2. Let b = o - 2. What is the nearest to b in 0.5, -2\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*k - 186*k + 17*k**2 + 6*k**2.\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 5 (c) -6 (d) -22\/6375\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 8:08 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + a + 1. Let o be s(-1). Sort 1, o, 4 in ascending order.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*v**2 - 119*v**2 + 6*v**2 - 3*v**3 - 114*v**2 to w*v**2 + j*v**3 + l + o*v and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 495 - 492. Let i(a) = 141*a + 43. What is the hundreds digit of i(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(sqrt(320) - sqrt(5)).\nAnswer: 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 1 = 10*j. Let r(t) = 147*t**2 - 4*t + 4. Let v be r(j). Suppose 2*a + v = 3*a. Calculate the greatest common divisor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/6 and -2\/51?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -661165\nAnswer: -4\/661165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.28, -3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:50 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 4\/5, 3, -4.32, 1, -29?\nAnswer: -4.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23071*d + 23071*d + 2*d**2 - 452 + (-d**2 - d**2 + 4*d**2)*(-3 + 0 + 1) + 2*d**2 - 5*d**2 + d**2.\nAnswer: -4*d**2 - 452","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 377633 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75028 + 2044*o + 876*o + 70408 wrt o?\nAnswer: 2920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 408436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(8) - sqrt(72)) + sqrt(8)\/(sqrt(196)*1).\nAnswer: -83*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 3. Let n be w(-4). Let o = 18 - n. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 2:04 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 13675430.5 to the nearest ten thousand.\nAnswer: 13680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 370*l + 10772. What is r(32)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2. Let r(l) = -24*l. Calculate g(r(f)).\nAnswer: -2304*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1 = -9. Calculate the smallest common multiple of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 40 = 3*p, 7428*p - 7430*p = 4*x + 34 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -68*g**2 - g - 3. Let n be o(-1). Let x = -2293\/17 + n. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1694214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 89611911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.02 (c) 2\/167 (d) -160\/9 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u + 155*u - 18*u in the form m*u + i and give m.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6 + (-17014)\/(-564). Solve 0 = -7*k + 2*k - j for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 344727188 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + q - 56. Is 17 a factor of o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 100511, 108752, 116993, 125234, 133475?\n\"Answer: 8241*c + 92270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 - -5 - (2 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/165 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 23*p**6\/30 - 4*p**2 + 10*p. Differentiate k(x) with respect to x.\nAnswer: 92*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/3)*f*f\/(f\/f**8)*f)**(-20\/9)*(f**(1\/4))**20*f*f**0\/f*f*f*f\/(f\/(f\/(f\/f**(1\/6)*f*f)))*f assuming f is positive.\nAnswer: f**(-707\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - -4 - -4 - 2. Let r(c) be the first derivative of n*c**3 + 0*c + 3\/4*c**4 + c**2 + 3. Find the second derivative of r(h) wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-6))\/(2\/3). Let a be h\/(-12) - (-1)\/(-6). Which is greater: a or -6\/23?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/623638 and -44\/1039.\nAnswer: 647959882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzyyzzzzzzz. Give prob of sequence yzyz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14 + 4 - 43*v + 41*v. Let l be d(-8). Let w be 4 - (-4)\/l*-3. Solve 3 = -4*s - 3*k, 4 = w*s - 2*k + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*i + 302 - 1182 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/2)*b*b*b*b*b**8*(b**(-2\/9))**32 assuming b is positive.\nAnswer: b**(43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6129, 12255, 18381, 24507, 30633, 36759?\nAnswer: 42885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -474, -944, -1414, -1884?\n\"Answer: -470*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5. Suppose 0 = -2*s + q + 23, -3*s + i*q = -q - 34. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 64*n**2 + 19776*n - 2. Determine w(-309).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -25754800 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/120 + 2*b**5\/15 - 13*b**4\/24 - 13*b**3\/6 + 23*b**2. What is the tens digit of v(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from {n: 1, o: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1460 = -985. Let k = p - -628. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 93*n**2 - n + 0*n + 31*n**2. Let t(y) = -y**3 + 36*y**2 + 36*y + 36. Let f be t(37). What is the hundreds digit of d(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 - 20 = 31*b + 5 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24750 is divided by 605?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5\/4 - 3*y**4 + 3*y**3\/4 + 12*y**2 + 9*y = 0. What is y?\nAnswer: -3, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + j**2)*(3 - 3 + 1)*(-7*j - 4*j + 2*j) to p*j**2 + d*j + f + q*j**3 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 3*s**2 + 29*s + 12. Let t(g) = g**2 + 24*g + 87. Let k be t(-19). Is a(k) a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00155050807 rounded to 7 decimal places?\nAnswer: 0.0015505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -863 (base 13) in base 12?\nAnswer: -9b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 17*k\/2 + 495\/4.\nAnswer: -(k - 11)*(k + 45)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51464819.\nAnswer: 7, 7352117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5165 + 0.4.\nAnswer: -5164.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 442 and 1870.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*a + 6 = -2, -3*a + 8 = -4*q. What is the remainder when q + (-2 - 26)\/(-2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1628654 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3*w = -102, -406*g + 206*g + 4*w = -204*g + 112 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(18 - 20)*(-21)\/10\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 - m**4 + 3*m**4 - 198*m**4 + 380*m**4 - 139*m**4 - m**4 - m**4 + 4*m**4 + (m**3 + 2*m**3 - m**3)*(0*m - 3*m + 5*m).\nAnswer: 51*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -461 - -460.787. Let c = 8.113 + p. Round c to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from iiiiiiiiiiiciiiiiiii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -316 (b) -3 (c) -0.03 (d) -15 (e) 473 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3240)\/(-135)*15\/(-12)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-95)\/38*(-1818)\/15 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1127637, 1127634, 1127631, 1127628, 1127625, 1127622?\nAnswer: 1127619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20ac3b9 (base 13) in base 10?\nAnswer: -9966251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525454 (base 6) in base 14?\nAnswer: 11802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10047 + -17578. What is n rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-217)\/70 + (1 - -2))*2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3706 - -3701. Let r(h) = 13*h**2 + 5*h. Let j(l) = 162*l**2 + 63*l. Calculate d*j(x) + 63*r(x).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 376803*d**6 + 10*d**2 + 7*d - 181?\nAnswer: 45216360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 65*m**2 + 2*m + 1. Let u be w(-1). Let d = 87 - u. Let l = d + -25. Which is the closest to -0.1? (a) l (b) 1\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/3 - (-10)\/(-14). Let n be 86\/3 + (-4)\/6. Let f be ((-2)\/n)\/(6\/24). Put f, y, 2 in descending order.\nAnswer: 2, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - ((3 - 5) + -11)) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 590, 1262, 1934, 2606, 3278, 3950?\n\"Answer: 672*j - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 18*l**2 - l + 23. Let g be k(18). Solve g*j + 8 - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14577 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-104)\/(-6)*12*(-6)\/(-48). Is 26 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from {f: 2, i: 15, k: 3}?\nAnswer: 21\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 3*u = 12*h - 26, 3*u + 14 = -2*h. Let y = -71 - -211\/3. Which is the closest to y? (a) 0.1 (b) -6 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*t - 5335, 0 = -4*j + 20 - 0. Is 18 a factor of t\/(-30) - 4\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.03, 1\/8, 56?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.1 and -632058691?\nAnswer: 632058685.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 17*z**2 + 16*z + 4. Let g be h(-16). Let k(b) = b**2 - 6*b + 11. Let i(f) = f**2 - 5*f + 11. Let n(j) = g*k(j) - 5*i(j). Give n(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -11. Let f = 19 - z. What is the remainder when (1 - 4)*(-93)\/f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 56 + 60. Let r(o) = -2*o**2 - 57*o + 29. Let m be r(u). Solve -l + 5*z - 19 = 0, -l + z + m = 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 8 = 12. Let u(n) = -7*n - 32. Let d be u(-10). Solve -o - 2*a + 12 = 0, -5*a = y*o - d + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g - 35. Let f be m(5). What is the nearest to 0 in -0.2, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 6*h**3 - h**3 + h**2 - 4*h**3 to n*h + s*h**2 + k + l*h**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16788, 33625, 50462, 67299?\nAnswer: 84136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.5411468 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.97 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117260.\nAnswer: 2, 5, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, 1\/3, -38000?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071233 is divided by 5640.\nAnswer: 5273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**2 + 42515*g = 0?\nAnswer: -8503, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -333*n**2 - 221. Let r(c) = 222*c**2. Give d(r(p)).\nAnswer: -16411572*p**4 - 221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -19. Let u = 1 - -1. Let j be (1 - (4 - u))*3. What is the second smallest value in w, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7054 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 0*p)*(-p - p + 5*p + (-3 + 4 + 1)*(0 + 2*p + 0) + 5*p + p - 4*p + (4 - 1 - 1)*(5 - 5 + p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 4*x - 1. Let b be ((-9)\/2)\/((-6)\/16). Suppose -2*c = -6*c - b. Let h be u(c). Solve -h*s = -3*z - 5 - 20, -15 = -3*s + 5*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1604.176 kilograms to micrograms.\nAnswer: 1604176000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q + 168 = 14*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1062 or 2018?\nAnswer: 1062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c - 26. Let r be m(-8). Let u(n) = -n**3 + 13*n**2 + 14*n + 13. Let q be u(r). Suppose w = q - 11. Solve -o + 2 = 4*d, 2*d - w*o + 7*o = 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 677, 675, 673, 671, 669, 667?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*f - 34 = -18 + 5164 + 2644 for f.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 + 1922*p**3 - 911917*p**2 - 11151444*p - 33663204 = 0. What is p?\nAnswer: -6, 967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + 1b?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*t + 2*t. Let y be (0 + 95)*-15*t. Is (y\/45)\/(2\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918106 plus -0.3?\nAnswer: 918105.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 60, 0 in ascending order.\nAnswer: 0, 21, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0056565 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a**3 - 2*a**2 + 1. Let c be m(-1). Let t be c*15013*(-8)\/(-6). Let w = t + 1640208. What is w rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.547629 rounded to two dps?\nAnswer: -54.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, 4321, 2, -2\/51, -2.1 in descending order.\nAnswer: 4321, 2, 1, 0.1, -2\/51, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 107? (a) 4 (b) -0.4 (c) 0.3 (d) 2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -16. Put -4, 0, h, 5 in ascending order.\nAnswer: h, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101400 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -156, -3354, -8684, -16146, -25740?\n\"Answer: -1066*t**2 + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*o + 3*o - 160, c = -5*o - 44. Let f be 2\/8 + c\/8. Suppose z = 6*z - 5. Sort -1, f, z.\nAnswer: f, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17646 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15658, -2, 5, 3, 92 in increasing order.\nAnswer: -15658, -5, -2, 3, 5, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-109)\/(-1090))\/(0\/(-1) + 1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 206000 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1\/3, -279, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3045 - 3?\nAnswer: -3052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:44 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 9 = -73*u + 74*u, -33 = -5*w - 2*u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 2.97. Let u(z) = -3*z + 8. Let d be u(5). Let t be ((-9)\/(-12))\/((-33)\/(-8)). Which is the third biggest value? (a) d (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/16 - 6\/(-56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -189, -220, -241, -246, -229, -184, -105, 14?\n\"Answer: b**3 - b**2 - 35*b - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)\/o*o**(-1))\/((o\/o**(-2\/3))\/o**(3\/5)))**39 assuming o is positive.\nAnswer: o**(-468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-11 - -8)) + (4 - -1 - 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.602 to zero dps.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11570931138 + -4.\nAnswer: -11570931142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.49 - -2.59. Let q = 157 - 157. What is the nearest to q in 10, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3446950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -199\nAnswer: -29\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 285.954896996 + 0.046484004. Let f = -286 + d. Round f to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 + 3 + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*(1 + -3)*90\/(-8) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1030923, 1030884, 1030845, 1030806, 1030767?\n\"Answer: -39*a + 1030962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 57043*o**2 - 181*o - 20. Let n be r(12). What is n rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - h**2 - 2*h - 2. Let v(u) = -u**2 + 7*u - 3. Let w be v(6). What are the prime factors of y(w)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1.8 (b) -15 (c) 3 (d) -10 (e) -1 (f) 4\/9 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*b = 3*b + 67, -4*b = -2*x + 56. Suppose -59 - x = -7*d. Suppose -d*r = -10*r - 14. Calculate the greatest common factor of 35 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/3 + 6488*m\/3 + 2164.\nAnswer: -4*(m - 1623)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 348973 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 7 - 3*s + 1\/2*s**2. What is m(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -269, -2008, -5219, -9902, -16057, -23684, -32783?\nAnswer: -43354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*((-21)\/6 + 3). Calculate the highest common divisor of z and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 3*c + 31 + c**2 - 14*c**3 + 12*c**3 - 3*c in the form l + y*c + d*c**2 + q*c**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**6\/120 - o**5\/80 + 7*o**4\/48 + o**3\/24 - 3*o**2\/4 - 48*o. Determine g, given that i(g) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1029, 2030, 3033, 4038, 5045, 6054?\n\"Answer: j**2 + 998*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (-2 - (1 + 0)). Suppose -d = y - 0. Let j = -1.324 + 1.324. Sort d, -1\/2, j in decreasing order.\nAnswer: j, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191.8 - -2.2. Let x = -189 + v. Let n = -7 - -5. Is n at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*l + 44415 = 37*l + 42*l. Calculate the remainder when l is divided by 115.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 25\/(-5) - 31. Let s = i - -40. Suppose s*k + 1374 = 14*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215599 is divided by 308?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/12 - u**3\/2 - 3*u**2 - 3*u. Let x = -5 + 10. Let w be p(x). Solve -9 + 1 = w*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1606, -1550, -1494, -1438?\nAnswer: -1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(11\/4)*c)\/c)*c)**21\/(c*c\/(c*c\/(c\/(c*c**(1\/5)\/c)))*c*c**(12\/11)) assuming c is positive.\nAnswer: c**(-8721\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2010 - 1944. Sort -18, -3, z in descending order.\nAnswer: z, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 22620 = -5748. Let l = -814 + q. Let w = -29 + 48. Calculate the remainder when l is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858.8097 meters in millimeters?\nAnswer: 858809.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1031 + 5*n + 1026 - 2085 to the form d + u*n and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/24 and (1377\/(-57105))\/(2\/5).\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9423\/62105 or 0?\nAnswer: 9423\/62105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 15*b - 17*b. Find the common denominator of (-2)\/(-4)*2200\/b and -55\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 13*u**2 + 72*u + 24. What is the units digit of g(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - 14) + 56 - (-2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.34 - 0.06. Let c be 15\/(-30) - 195\/4. Let w = -49 - c. What is the closest to 0.3 in l, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1552, 1673, 1796, 1921, 2048?\n\"Answer: d**2 + 118*d + 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -8*m + 2650. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025313936 to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5772.40783 rounded to the nearest integer?\nAnswer: -5772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/10 + 2\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 15*v**2 - 10*v - 10. Let h(r) = 18*r - 129. Let m = 18 + -11. Let n be h(m). Let a(s) = -5*s**2 + 3*s + 3. Give n*l(q) - 10*a(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 = -l + 4471*x - 4467*x, 5*x + 164 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21994 or -21963?\nAnswer: -21963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.3407719us to minutes.\nAnswer: 0.000000039012865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 6*k + 12. What are the prime factors of o(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5\/4 - 13*p**4\/2 - 55*p**3\/4 - 11*p**2 - 3*p = 0.\nAnswer: -6, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*x + 15 = 0, 987*j + 3 = 987*j - x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -21, -46, -71, -90, -97, -86, -51?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468783770 to the power of 1\/3, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**6\/80 - 9*g**5\/160 - g**4\/32 + 3*g**3\/16 + 286*g - 297. Let x(q) be the first derivative of b(q). Factor x(o).\nAnswer: 3*o*(o - 3)*(o - 1)*(o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*r - 13 = 3*g, 9*g + 5*r + 88 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 1:36 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/3 + 1)\/(1\/105). Suppose q = -2*h - 2*v, h - 4*v + 115 = -7*v. Let m = 259 + h. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 5. Let g be k(8). Let x(y) = y**3 - 6*y**2 + 2. Let d be x(6). Solve -g*n = -f - 4 - 6, -3*f - 8 = d*n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i*i**(-1\/4))\/i))**(-15))**(-11)\/((i**1)**(1\/10)*((i*i**(2\/9))\/i)\/i**(-1\/7)) assuming i is positive.\nAnswer: i**(467189\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 162 = 4*w, 0 = 2*w + 5*r - 2*r - 82. Calculate the remainder when w is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**2 - 694*h**6 + 712*h**6 - 2*h**2 wrt h?\nAnswer: 2160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*p + 0*p = -9588, 0 = 3*q - 5*p - 9597. Suppose -259 = -3*s + q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + -651)\/((-5 - (-258)\/52)*2).\nAnswer: 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 422818233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**3\/2 + 1792269*l**2\/2 = 0.\nAnswer: 0, 597423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(-1*sqrt(144))*-5 + (-5*(sqrt(500) + 1) - (sqrt(500) + ((sqrt(500) - (sqrt(500) + -1 + sqrt(500))) + 1)**2)).\nAnswer: -509 - 75*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**3 - 127*r**2 - 2*r - 4. Let f(g) = 3*g**3 - g**2 + g - 2. Calculate b(z) - 2*f(z).\nAnswer: -z**3 - 125*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2343, 2365, 2401, 2451, 2515, 2593, 2685?\nAnswer: 2791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47.1 + -47. Suppose 0*u = -3*u + 15. Let m = -12 + 11.7. Which is the nearest to 2? (a) u (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1757381*z**2 + 142454*z + 15.\nAnswer: -3514762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21390 divided by 15\nAnswer: -1426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -21*d + 26. Let w(f) = 101*f - 100. Let x(n) = -9*j(n) - 2*w(n). What is x(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*j**2 - 3*j - 10*j + 14*j - 12*j wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*t, 21*t - 16*t = -i + 56. Solve 5*w + p = i, 4*p = w - 3 + 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 - h - 2. Let a(p) = -p**3 + 2*p**2 + 2*p - 1. Let x be a(2). Let z(b) = 6*b**2 - 2*b - 3. What is x*i(c) - 2*z(c)?\nAnswer: 6*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) 0.02 (b) 42 (c) -0.2 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwcwwwcwwwcwwwwwwwc. What is prob of sequence ww?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 - 9366222?\nAnswer: -9366187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b + u - 37, 4*u = -2*b + 68. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 15*y**2. Let k(p) be the third derivative of -29*p**4\/8 - p**3\/3 - 250*p**2 - 3*p. Determine w(k(r)).\nAnswer: 113535*r**2 + 5220*r + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024165 rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*z**4 - 1039*b*z**3 + b*z**2 + 551*b*z - 3*b - 10870*z**4 + 2*z**2 + 332*z wrt z.\nAnswer: -24*b*z - 6234*b - 260880*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7325078 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.2 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 0 (b) -5 (c) 4 (d) 0.1 (e) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39190322341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhllhhhhhhhhhlhhlhh. What is prob of sequence ll?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-7))\/((-13)\/(-91)). Solve x - 3*z - b = -15, 2 = x + z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -8c95?\nAnswer: -8c92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - c - 315 = 0. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.6358473 + -15.6?\nAnswer: 130.0358473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 780 and 1230.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 18. Let a = -1 + i. Let r = 74 - 69. What is the lowest common multiple of r and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 7*y + 12. Calculate v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let z(o) = 314 + 353*o - 314 + 438*o. Determine j(z(t)).\nAnswer: 625681*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 35*l**2 + 385*l + 23. Calculate k(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6717595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j - 32*j - 160 = 0. Let s = j - 115. Let x = -11 + 71. Calculate the highest common factor of x and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 + 266*a**4 + 2 + 195*a**4 - 21*a**4 + 6 - 2*a wrt a.\nAnswer: 5280*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/112440 + -541103\/1630380. Let x = 6\/29 + g. Let y = -0.07 + 3.07. Put x, -0.5, y in decreasing order.\nAnswer: y, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 - c - 1. Let p be 2*(-1 + (-1)\/(-2)). Let g be y(p). What is the tens digit of (20\/(-7))\/(g\/(-14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c9 (base 15) to base 4.\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 2:56 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 12*k + 11. Let g be p(-11). Suppose g*x + x = 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 142343205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 7\/152499?\nAnswer: 7\/152499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5161\/180 + -571\/18. Find the common denominator of -15\/298 and l.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -410 or -103.8?\nAnswer: -103.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + d + 1. Determine a(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10465 and -0.030297.\nAnswer: 10464.969703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30553166 divided by -8722?\nAnswer: -3503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3080)\/49)\/((-4)\/28). What are the prime factors of h + -2*4\/2?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2056 divide 76333112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*j = 504 + 298, 4*z - 1624 = -3*j. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d\/(d*d**(-9)\/d))**(-6\/5)\/(d*d**(2\/5)*d)**(2\/19) assuming d is positive.\nAnswer: d**(-1506\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7058 + -5152339\/730. Let w = x + -7669\/2920. Find the common denominator of w and 57\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14606 and 39894?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*d - 236071, -2*p - 348590 = -4*d - 33822. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9347, 9418, 9495, 9578, 9667, 9762?\n\"Answer: 3*f**2 + 62*f + 9282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87655 = -42*w + 1998*w + 1006 + 585 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1\/3, -3688, -1, -3, -4.\nAnswer: -3688, -4, -3, -1, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41638a14 + 6?\nAnswer: 41638a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 794092.39 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -2, -13, -28, -47, -70?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296242 is divided by 147849.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 53*o**2 + 951*o - 8. Let j(s) = 18*s**2 + 312*s - 3. Let t(d) = 8*j(d) - 3*m(d). Factor t(z).\nAnswer: -3*z*(5*z + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200554 + -201?\nAnswer: 200353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 462134388889.\nAnswer: 462134388892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317365 is divided by 578?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 13. Let z(x) = -x**3 + 2*x**2 + 6*x + 2. Let v be z(d). Does 16 divide v\/2*(-2)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 3*i. Let m(n) = 5*n + 12. Let t(d) = 9*d - 10 - 34*d + 21*d. Let k(y) = 5*m(y) + 6*t(y). Give s(k(a)).\nAnswer: -2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/42)\/((-12)\/1350*-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 18*g + 10. Let w be 0\/((-2 - 0)\/2). Suppose 2*c = -w*c + 16. Calculate the lowest common multiple of c and o(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 496*b - 220*b - 185*b - 171*b + 5*b**3.\nAnswer: 5*b*(b - 4)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**4\/3 - 380*f**3\/3 + 2352*f**2 - 7099*f. Factor y(c).\nAnswer: -4*(c - 6)*(c + 196)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1083*r**2 + 8*r + 11. Let i = -58 + 56. Is l(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1867898 + -4.6.\nAnswer: 1867893.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.826 - 0.174. Which is the second smallest value? (a) 5 (b) v (c) 2\/29 (d) 2\/11 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 15. Suppose 0*j - 5*j + 50 = 0. Let l be v(j). Let m(x) = -3*x + 13. Let f(r) = 6*r - 27. Let g(b) = 6*f(b) + 13*m(b). Determine g(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 754*p**3 + 1 - 3 - 958*p**3 + 434*p**3.\nAnswer: 230*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 19*s + 4. Let x be c(10). Let v = -92 + x. Solve 0 = 2*l + 2*m - 10, 2*m + m = v*l + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f - 1 = 0. Suppose -2*j - 18 = -2*h, -4*j = -2*h + 12 + 12. Let k(p) = 181 - h*p - 357 + 176. Let g(c) = -c. What is f*k(t) - 5*g(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4997 greater than or equal to 4996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22053 + -8044. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5778*3*(-4)\/(-48). Let t = 1314487\/910 + i. Let x = 2864\/455 + t. Calculate the common denominator of -31\/6 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 15*q**3 + 10*q**2.\nAnswer: 5*q**2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/74480 and 61\/707826.\nAnswer: 198191280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 75 + 15 = 0. Let f(z) = 14*z + 8. Let k be f(-9). Let h = k + q. What is h rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 4*t**2 - 17\/12*t**3 + 1\/24*t**4 + 14 - 2*t. Factor k(j).\nAnswer: (j - 16)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 2*j**2 + 0*j**2)*((3*j - 3*j - j)*(j + 1 - 1) + 7*j**2 + j**2 + 3*j**2).\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 4*q + 4. Let c(a) = 3*a - 4. Let o be c(2). Let n be m(o). Suppose -n*t = -7 - 1. Solve 0 = h + t*z - 11, -2*z - 12 = -6*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeegeegwgeggew. Give prob of picking 2 g and 2 w.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 697576 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 4. Let y = v + -5. Let n be (-3 - -4) + (15\/(-4))\/3. Do y and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81794 kilograms in milligrams?\nAnswer: 817940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89.17 - 89.7. Let n = -158 + 157.37. Let s = y - n. Which is the closest to s? (a) 1\/6 (b) 8 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 - 4*j**2 + 3*j - 2. Let h be i(2). Calculate the highest common divisor of h and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/6*(-2)\/(-3). Let k be x\/(3\/(-6) - -2). Let y(a) = k*a - 2*a**2 + a**2 + a**3 + 2 - 2*a**2. What is y(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -250 - 4?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1563937?\nAnswer: -156393.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1067 - 15.8033. Let l = j + 16. Let b = l - -13.31. What is b rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54474 is divided by 1089?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l - 2*d + 134, -4*l - d + 106 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261192?\nAnswer: 2, 3, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4.14, -0.1, -1\/14 in ascending order.\nAnswer: -0.1, -1\/14, 0.2, 4.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 82 - 3 = 0. Suppose 2*w - 1 = 1. Suppose r = 2*r - w. What is the highest common divisor of r and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.52977 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -697.62 rounded to 0 decimal places?\nAnswer: -698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 - 684 = -247*r - 4024 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 748368.8 millennia in centuries?\nAnswer: 7483688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlc when three letters picked without replacement from cldqql?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6835318.\nAnswer: 2, 7, 131, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -980 - -3723. Suppose -4*n = -2*v + 1842, 0 = 3*v + 8*n - 9*n - m. What are the prime factors of v?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/14 and -81\/63770?\nAnswer: 63770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 64 + 39*u**2 + 166 - 231*u**2 - 53.\nAnswer: -192*u**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 - 16\/(-10). Find the third derivative of 0*y**5 + y**2 + d*y**5 - 3*y**5 wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -5*a**4\/12 + 340*a**3 - 104040*a**2 + 613*a + 1. Factor g(l).\nAnswer: -5*(l - 204)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 203 = 46*b - 47*b, -943 = -5*b + 2*a. Solve 188*w - 12 = b*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 1. Let l be f(1). Let a = 11 - 9. Suppose w = l*m + 6, -12 = -3*w + m + a*m. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 8*w + 59 = 191. Solve 5*z - 15 = -5*i, 2*z + 0*i = i - w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 + 14. Suppose 97*n - m*n - 65 = 0. Calculate the remainder when (-2)\/8 + 306\/8 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 14. What is the derivative of 4*k**2 + 11 - 9 - m + 8*k wrt k?\nAnswer: 8*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 366600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/64 and 109\/220?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/8 + 158\/4. Let c = z + -21. Solve c + 2 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - i - 4. Let s be q(3). Solve h + 7 = -3*p, 4*p + h + s = -9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - l - 10. Give w(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (19 - 3396\/180)\/(2\/(-10)). Which is the nearest to r? (a) 1\/5 (b) 5 (c) -2 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 347495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(1\/104). Suppose 16*o - 14*o - 8 = 0. Suppose 0 = q + y - 8 - 16, o*y = -q + 18. Calculate the highest common divisor of x and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 7*g**5\/20 - 11*g**4\/24 + 3*g**3 - 10*g**2. Let p be a(6). Let k = -1208 + p. What is k rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s. Let g(h) = 6*h. Determine c(g(n)).\nAnswer: -66*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/175 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = v - 9*z, 2*z + 52 - 50 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116 + -53. Let h = s + 164. Which is the nearest to 1\/4? (a) -73 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 2. Let c = -10 + 8. Let y be b(c). Suppose y = -4*v - 12. Let u(j) = 8*j - 5. Let d(s) = 3*s - 2. Determine v*u(n) + 11*d(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k. Let a(u) = -135632*u. Calculate m(a(s)).\nAnswer: 949424*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-25))\/(3\/(-30))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 954.8877 nanograms?\nAnswer: 0.0000009548877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -17*i**2 + 376*i - 1910. Calculate u(14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*q*u + 2835*q*z**2 - 3*q*z - 2*u*z**2 - 8503*u*z - 2*z wrt u?\nAnswer: 3*q - 2*z**2 - 8503*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -12.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105083.\nAnswer: 11, 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 48 = -5*q, 3*u = 5*q + 7*u + 24. Let l be 2\/(q\/(-36) + (-16)\/(-36)). Find the second derivative of -b**l - 21*b**3 + 11*b - 9*b**3 - 46*b wrt b.\nAnswer: -186*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than -5548911?\nAnswer: -5548918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74037 - 74037.0000032957. What is b rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.44 - -759.\nAnswer: 727.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - y**2 + y + 1. Let j = -4 + 6. Let z(w) = -4 - 31*w**3 + 3*w**3 + 0*w + 3*w**2 + 24*w**3 - 3*w. What is j*z(o) + 6*g(o)?\nAnswer: -2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 h when three letters picked without replacement from {p: 1, i: 2, h: 2, t: 1, f: 3, m: 9}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*b + 5*f, 25*b - 24*b - 7 = 4*f. Suppose -2*u = b*c - 0*u - 11, 2*c = -5*u. Solve 2*n - 2*o = -n + 11, c*n = 3*o + 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ulululouul.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + c = 3*n + 6, 0 = -c - 2. Let q = n + 7. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 211511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-28)*0\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 1\/3, -0.0715, 5\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 144034938 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*q - 8\/3 - 2\/3*q**2.\nAnswer: -2*(q + 1)*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -9 - -26636) + 3 - -6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) - sqrt(11)*3)*5*6)**2.\nAnswer: 356400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -182.246 + 0.246. Let s = n + 179. Let a = 5 - 7. What is the second smallest value in s, a, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830813 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -5.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2459*y - 1688. What is the units digit of d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*k + 2 - 1 - 134*k + 73*k.\nAnswer: -147*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-127)\/(-635))\/(3\/135)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 1009.4.\nAnswer: 302.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087645917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Let v(i) = i - r + 1. List the prime factors of v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9))\/(322\/69)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -78*a + 684. Let m(n) = -63*n + 680. Let z(j) = 4*f(j) - 5*m(j). Let w(o) = -2*o**2. Determine z(w(x)).\nAnswer: -6*x**2 - 664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b + 5. Let n be y(0). Suppose 2*g + n*k = 6*g - 15544, 4*k + 11659 = 3*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 6:52 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (356\/712)\/((44\/(-6))\/(-11)*-1*6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 1\/4*326. Let b = -77 + c. Let p be (-1)\/2*-8 - 638\/145. Is p less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.3, -683, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180550.\nAnswer: 2, 5, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 2*o + 1. Let k be f(5). What are the prime factors of k*11\/((-33)\/(-36))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/15 + 38\/(-6). Let z be l\/4 - (-92)\/8. Suppose -n + 6 = z. Sort -3, n, -5, 4 in descending order.\nAnswer: 4, -3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46242.9 tonnes in grams?\nAnswer: 46242900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 2. Let t be n(5). Let a = 4 + 0. Suppose l - t = -m, a*m - l = -m + 67. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - 18. Let r = 11 + p. Let u = -45.999924 - r. Round u to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 - 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2760 + -2764. Which is the smallest value? (a) m (b) -0.2 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*d + 7524 = -582*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r\/((r**(-4\/3)\/r)\/r*r))\/r*r\/((r*r**(-2\/3)\/r*r)\/r)*(r*r**(4\/3))\/(r\/(r**(-3)*r)) assuming r is positive.\nAnswer: r**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 783 = -4*i, -509*r - 3861 = -504*r - 2*i. Do r and -772 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 914*m - 512050. Give y(288).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 58744 = -12*v. Suppose v = 3*m + 5*j - 14917, 5*j = -5*m + 38855. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 5*h + 4*h - 10, 0 = -t - 3*h - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 - 46 = -5*g. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2 + 55*t - 59*t - 4*t**2 + 2*t**2. Give v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4944, -4946, -4948, -4950?\n\"Answer: -2*f - 4942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1469*z**3 - 410*z**3 - 579*z**3)*((2 - 4 + 0)*(-2*z + 2*z - 2*z) - 5*z + 2*z + 2*z).\nAnswer: 1440*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 + 140. List the prime factors of p.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 44 = 34. Let k = -23 - o. Suppose k*f - 22 = -3*d + 17, -4*d + 5*f + 79 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1017674 and 10?\nAnswer: 5088370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-70) + (1782\/308)\/27\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6204087 nanometers?\nAnswer: 0.0000000000006204087","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -2 + -5 + -5 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzqzwzznzzzzhrrqzrzz. Give prob of sequence rhr.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (78\/(-40))\/(75480\/4736) and -43\/493.\nAnswer: 12325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 + -0.0069\nAnswer: 2.6931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*j**2*p**2 - 2*g*j**2 - 24*g*j*p - 3676*g*p + 3312423*j**2*p**2 + 24*p wrt p?\nAnswer: 2*g*j**2 + 6624846*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t = 5. List the prime factors of 2\/(-6) + t + (-6112)\/(-48).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, j: 2, b: 1, w: 1, v: 1}. What is prob of sequence vjj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 679 - 677. Solve -6*w = -h*w + 2*m - 8, -5*m - 8 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*-6 + sqrt(65) + (sqrt(65) - (sqrt(65) - sqrt(65)*-2)*6))\/((2*(sqrt(45) + 1*sqrt(45)))\/sqrt(9)).\nAnswer: -11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40 - 7*p**2 + 40 + (p - 2*p + 0*p)*(-p - p + 0*p) - 4*p**2 - 3*p**2 - 3*p**2.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 22*q**2 + 410*q + 1546. Calculate f(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*b**3 + b + 14 with respect to b.\nAnswer: 147*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -76.24.\nAnswer: 38.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**4\/12 - 7*s**3\/3 - 61*s**2 - 23. Let f(c) be the second derivative of h(c). Let r(d) = -d**2. Give f(r(p)).\nAnswer: -2*p**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 517 and 611.\nAnswer: 6721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06082119 rounded to 3 decimal places?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 67 = 3*b, 112 - 121 = -5*b + l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4640000 to the nearest 100000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2 + 8 = 0. Let c(k) = 0*k**2 - k**f + 0*k**2. Let m(r) = -r - 1. Let u(h) = -7*h - 6. Let d(v) = 6*m(v) - u(v). Calculate d(c(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + s)*(39952*s + 44202*s + 8016*s - 3075*s) in the form v + o*s + c*s**2 and give c.\nAnswer: 89095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 11*n**2 + 8*n + 5. Let j(d) = 4*d**2 + 3*d + 2. What is -8*j(m) + 3*z(m)?\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 2*o**2 - 4*o**2 + 4*o**2 + 21 + 17*o. Let g be h(-16). Solve -19 = 3*w + 2*q - q, g*w = 2*q - 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 529*y + 407. Calculate i(-1).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 92 = -26*y, -14*q + 18*q + 4*y + 4 = 0. Solve 2 = 2*f - q*p, -17 = -3*f + p - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4116*s - 45289. Determine y(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7006537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**2 + 26*j - 582. What is q(-10)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 42 = -3*c - 3*i, 2*c = -2*i + 28. Let w(t) = t + 12. What is the remainder when c is divided by w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 30. Suppose -27 = -2*i - i. Let r = 10 - i. Put -1, o, r in descending order.\nAnswer: r, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8595.2232 minutes?\nAnswer: 5.968905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11088.2 and -5?\nAnswer: -55441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 3. Let l be x(-3). Let w(p) = -p + p - p + l. Let o(k) = k**2. Calculate o(w(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.308 - 44048\nAnswer: -44049.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1452 = -18*o + 1344 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(1800) + sqrt(1800) - -2*1*sqrt(1800))\/(-3*(sqrt(440)\/(sqrt(11)*-1))\/sqrt(4)) + 0.\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6529, -13050, -19559, -26050, -32517, -38954?\n\"Answer: i**3 - 6528*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*w**2 - 20*w**2 - 20*w**2 - 22*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18500200 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67070357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57904 and 2125904?\nAnswer: 14881328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101\/98 - 124\/49. What is the nearest to 0.3 in -2\/71, -0.4, j?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -2 + (-2)\/(-2). Let i(f) = -1235*f + 4. Let g(w) = 1236*w - 4. Let v(b) = j*g(b) - 2*i(b). Let n be v(8). What is n rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1188140 is divided by 4569.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3 - 13 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 + 8*z**2 + 87*z + 32. Let p be m(9). Solve 0 = 42*g - 40*g - p*v + 1, -3 = 3*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, a: 2, p: 1, x: 4}. What is prob of sequence ggpa?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/((sqrt(162)\/sqrt(3))\/sqrt(9) + sqrt(6)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32001113 (base 6) to base 9.\nAnswer: 1672320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 16.9. Which is the third smallest value? (a) 0.4 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-2)\/25) + 0\/(-5). Let o = 9 - s. What is the common denominator of (36\/(-10))\/(o\/(-70)) and 33\/34?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 15. Let u(t) = -38*t**2 - 56. Let p(m) = -2*m**2 - 4. Let g(i) = 14*p(i) - u(i). Calculate g(o(x)).\nAnswer: 10*x**4 + 300*x**2 + 2250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 202615 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: Which is the third biggest value? (a) 3.04 (b) 0.04 (c) 1622\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1. Let f(w) = w - 3. Let v(z) = -3*d(z) - f(z). Let q(j) be the third derivative of j**5\/15 + 2*j**2. What is q(v(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7437790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-13)\/(-2)*-34. Let i be h*(-3 + 29\/9). Let j = -49 + i. Which is the nearest to -2? (a) j (b) 0.5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*t**2*v - 7*c*t*v - 48*c*v**3 + 2*t**2*v**2 + t**2 + 3*t*v**4 wrt v.\nAnswer: -288*c*v + 4*t**2 + 36*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 1422511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -34384?\nAnswer: 68768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 2:27 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 28*x + 32. Let d(h) = -h**2 - 55*h - 64. Let u(o) = -4*d(o) - 7*z(o). What is p in u(p) = 0?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29*808.71.\nAnswer: -234.5259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 12 = -2*d + 3, -15 = 5*w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 + 128.04. Suppose -o - 12 = 2*o. Which is the third smallest value? (a) o (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 - w**3\/3 - 3*w**2\/2 + 2*w - 5. Let u be a(5). What is the greatest common factor of u and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5, 93, 58, 26 in increasing order.\nAnswer: -2, -1, 5, 26, 58, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22341492 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: ((-99)\/4620*14*2)\/(12\/335)\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 4, 13, 32, 67, 124?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 - 4*v**2 - 3*v + 1. Let d be z(-3). Let m be 24 + 1 + (1 - 4). Calculate the highest common factor of m and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-17974 + 9 + -9) - 0. What is the highest common factor of v and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -400, -398, -394, -388?\n\"Answer: j**2 - j - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4102308 and 30660.\nAnswer: 20511540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f + 24. Let p(x) = -3*x + 12. Suppose -3*o + 4*r + 34 = 0, o + 6 = -3*r - 0. Let t(q) = o*s(q) - 13*p(q). List the prime factors of t(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -13 + 6 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -175835 + 175851.0014. Let b = -210 + 226. Let q = m - b. What is q rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2389e (base 15) to base 3.\nAnswer: -12202110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*j - 0*j + s, -3*j - 5*s = 2. Suppose 43 - 39 = -2*u - 4*t, 4*u = -t + 13. Sort u, j, 31 in descending order.\nAnswer: 31, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*l + 19, -38 = -13152*l + 13160*l - 2*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 27344*g**2 - 409124*g - 927656.\nAnswer: -4*(g - 6821)*(g - 17)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from zzxzzqzqq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45692 rounded to 3 dps?\nAnswer: -0.457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 592 - 253. What are the prime factors of n?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 537686121.\nAnswer: 537686123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/32 and -5\/85152?\nAnswer: 85152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 34?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 231948 and -15?\nAnswer: -3479220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -31*j - 123. Determine z(-9).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + ((-78)\/8 - -4). Let x(h) be the first derivative of 0*h - h**2 + v*h**4 + h**3 + 5. Solve x(l) = 0 for l.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 80*p**2 + 66*p - 5286. Calculate f(80).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-13 + 22 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 242 = 2*z, y + z = 4*z + 64. Let j = 33 + y. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*v - 4. Is 5 a factor of 1\/2*v + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48488 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54815433 is divided by 236?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 10*i**2 + 10*i - 14. Let c be k(-11). Sort c, 1, 3 in descending order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15772 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: What is 481 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*s - 11 - 7, 0 = -3*t + 5*s + 20. Find the third derivative of -r**6 + 5*r**5 + 4*r**2 + 4*r**6 - 5*r**t wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -22 - 7 - (1 - (-10 + 77)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 6*f**2 + 4*f - 2. Calculate p(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*w = -148*w + 132 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 + -74. Solve c*r = 10*r + 39 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 19. Suppose 0 = q + 2*m - 5*m + 4, d = -2*m + 4. Suppose -5109 - 8683 = -3*f - q*v, -v = -f + 4604. What is f rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 l when four letters picked without replacement from rrrrxrlrxwwrllrrllrx?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -9*u + 7 - 69*u**2 + 143*u**2 - 73*u**2. Determine o(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 5, -4, 202893 in ascending order.\nAnswer: -7, -4, 0, 5, 202893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*t**3*w**3 + 45*t**3*w - 2*t**3 + t*w**3 - 13*t*w - 77*w**3 wrt w?\nAnswer: 48*t**3*w + 6*t*w - 462*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 + s + 8. Give x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 0*a**2 + 0*a**2 + (a**3 + 0*a**3 - 3*a**3)*(-6*a + a + 2*a)*(-3 - 4 - 11).\nAnswer: -109*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(-8)\/(-1) + -1. Suppose -3*b + i = -2*b. Solve 2*t - 3*t + b = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30693 (b) -19 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 13*c + 10. Let d be m(-8). Let k = 58 + d. What is the highest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1881)\/(-957) - (-20)\/580\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 6783 - 3063 = 0. Suppose m = 9*z - 1633. Suppose 1632 = 3*h + z. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 52\/11 - 2\/11*w**2 - 50\/11*w = 0.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -87800?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7011415 is divided by 1815?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 13)*1\/1. Let g = u + -7. Find the third derivative of v**2 + 3*v**4 + g*v**2 - 2*v**2 wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 3*n**2 + n**2)*(-n + n**2 + n) - n**4 + 4*n**4 - 4*n**4 + 394*n**4 + 10684*n**3 - 10684*n**3.\nAnswer: 392*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -146. Suppose -30 = -5*m + w. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 p, and 1 x when three letters picked without replacement from {x: 1, j: 1, c: 1, y: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11069918 divided by -17.\nAnswer: -11069918\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224, -5, 4.\nAnswer: -5, 4, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2818100714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**6\/80 + 121*m**5\/40 - 200*m**4 - 7168*m**3 + 36*m**2 - 2*m - 7. Let q(p) = 0. Calculate p.\nAnswer: -7, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-177)\/(-5) + (-4)\/10. Suppose 3*f = -4*v - 2*f + m, -4*v + 85 = -5*f. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.12 and -0.8.\nAnswer: -0.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 21548232.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(6\/4)\/3*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + k + 16. Let l be 0*((-6)\/8 - -1). Let j be h(l). Let u = j + -10. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7}. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/5 + 4*r**2\/5 - 2\/5.\nAnswer: -2*(r - 1)**2*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-4) - 2\/((-48)\/270). Suppose 5*u + 3*g - 131 = 0, -3*u - 2*u + 2*g + 146 = 0. Find the second derivative of 30*p**3 - 3*p + q*p - u*p**3 wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = g + 6. Let s = -245\/4 + g. Suppose -87*u - 6 = -84*u. Which is the nearest to s? (a) 3\/4 (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63840864 or 63840862?\nAnswer: 63840862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d + 62. What is the tens digit of z(32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 28 + -39 - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 + 15 = 0, -3*z + 3*d = 516. Let v = z - -817. What is the greatest common divisor of 76 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 53. Let o be (3\/8)\/(x\/36). Find m, given that 0*m + 0*m**2 - o*m**4 - m**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 27 = 3393. Let q be w\/(-54) + (-4)\/18. Let k = q + 60. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 18*t - 28. Let m be p(8). Differentiate 110 - 17*h**4 + 3*h**4 - m with respect to h.\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 30*i - 153\/5 + 3\/5*i**2 = 0.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-132500)\/(-73125) - 56\/(-52). Factor -2\/3*q**2 + 20\/9 + v*q.\nAnswer: -2*(q - 5)*(3*q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-14)*18\/(-27)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.495 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 14 = -3*j - 39, -3*r = j - 109. Let c be ((-1)\/2)\/((-1)\/76). Let q = c + r. Calculate the lowest common multiple of q and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 15. What is u(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*i + 2*i - 1, 2*k + 19 = 5*i. Solve z + 1 + 0 = -k*p, 10 = 4*z - 2*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/53 (b) -413\/1731 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/10066 and 77\/16400?\nAnswer: 82541200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 40 = -4*k. Let x be (-1076)\/k + 2\/4. Calculate the highest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-108)\/(-20) - 4\/10. Sort g, 11, 13 in descending order.\nAnswer: 13, 11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + (sqrt(80) - (0 + sqrt(80))) + -5 + 2))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 5.3\nAnswer: 0.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1612\nAnswer: -5\/1612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:50 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.313928l to millilitres.\nAnswer: 6313.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1eb63 (base 16) to base 7\nAnswer: 1032515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-3))\/(-1)*315\/175?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 2*x + 1\/6*x**3 + 0 + 0*x**2. Let b be k(5). Solve 0 = 5*u - 2*p + b, 2*u - 2*p + 18 = 2*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 13 + 2 = -g, -5*w = -3*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136 - 137. Let q = 3 + -4. Let b = u - q. Solve b = 3*j, j = -3*r - 0*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 2. Let h = 21\/46 + 1\/23. Which is the biggest value? (a) h (b) u (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 14, c: 5}. Give prob of sequence ii.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 5*j**2 + j + 13. Let r be u(4). Do -4 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228.1 + 219. Let a = -8 - -17. Let m = k + a. What is the nearest to m in 0.1, 1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (26 + -2)) + 11\/((-1023)\/(-1134)).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11304920, 22609846, 33914772, 45219698?\n\"Answer: 11304926*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6503952.18006 + 6503900. Let r = 52.2 + m. Let h = r + -0.02. What is h rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100100110 (base 2) to base 14.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*i - 25, 6 = -2*i + 10*t - 6*t. What is the tens digit of -6 + 1 - i - 4744\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - f + 1293, n - 4*f = 6*n - 3225. What are the prime factors of n?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -15*m**2 + 39*m**2 + m**3 + 1 - 22*m**2 - 6*m. Let v be k(-4). Calculate the remainder when 33 + (2\/3)\/(v\/(-21)) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 27407.\nAnswer: 301477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 683 + 661 = 2*z, z - 12 = 12*k for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 22 + 64 = 0. What is the remainder when 52 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.051534 to four dps.\nAnswer: 0.0515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7259893?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 4)*(-48*p - 217 + 110 + 107) as q*p + c and give q.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*2*(30\/8)\/(2490\/(-66400)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -104422?\nAnswer: -104421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 490 + -491. Put 1\/4, m, -5, -19 in descending order.\nAnswer: 1\/4, m, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 0.293\nAnswer: 1.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -2*b**3\/3 + 228*b**2 - 25992*b - 140. Suppose v(i) = 0. What is i?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 = -4*i, -31*i - 33 = -3*r - 34*i. Solve -4*g = r, -4*g - 8 = -4*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*o - 11 - 5 = 0, 4*o = -16. Let v be (1 - (4 - 3))\/1. Let q(a) = 1 + a + b*a + v*a. What is q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 + -10)*(-4 - 60\/(-16))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -b + 156, 387 = 5*b + 5*y - 543. Let n = b - 165. Calculate the greatest common divisor of 124 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = -4*f + 22*l - 18*l, 0 = -2*f + 185*l - 180*l - 215 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (-15 - -8)) + 7 + (-1 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 6. Let f be 1 - -3*(-10)\/36. Which is the third biggest value? (a) -3\/7 (b) f (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5 - 44*l**4 - 26658*l**3 - 79096*l**2 + 238337*l - 132540 = 0.\nAnswer: -141, -5, 1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z**4 + 4869996*z**3 + 7526398*z**2 + 2656380*z = 0. Calculate z.\nAnswer: -1, -6\/11, 0, 221365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021 = 49*z - 4276 + 1530 - 2015 for z.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5910.1 and -44?\nAnswer: -260044.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10984270.\nAnswer: 2, 5, 11, 61, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4\/3 - 329*u**3\/6 + 44495*u**2\/6 + 2975*u = 0. Calculate u.\nAnswer: -85, -2\/5, 0, 105\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 323, 1\/3, 1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 556?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/13, 284, 1.87, 5, 3, -1\/8?\nAnswer: 1.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than -1209.38199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6715323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015413 to 5 decimal places.\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {a: 4, u: 5, y: 1, l: 1, f: 1, p: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-140) - 2\/5. Let l = -0.061 - -0.261. Let n be -3*((-33)\/(-27) + -1). What is the second biggest value in 2\/5, l, n, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*i**4 - 36*i**3 - 22*i**2.\nAnswer: -2*i**2*(i + 1)*(7*i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 * -15661.68\nAnswer: -39154.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-20) - (-118)\/8. Let n(o) = 31*o + 11. Suppose 12 + 5 = 17*z. Let l be n(z). What is the highest common divisor of l and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -4. Let j be 1 + (-2)\/(6\/n). Find the second derivative of -5*s + 0*s + j*s - s**3 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 941*c - 924. Calculate h(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = 0, 0 = 4*q + 5*b - 30 - 6. Let k = 408 + -284. Suppose -3*d + k = 2*i - 0*d, 0 = -q*i - 2*d + 264. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 371 - -740. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412, 356, 262, 130, -40, -248, -494?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Let t = 4.5 + 0.5. Which is the closest to 0? (a) t (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q + 323 - 323. Let b(g) = 6*g. Determine b(c(o)).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3596?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/4, 9, 0.2, -2\/13, -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrraaarrrareaararra. Give prob of picking 1 e, 1 a, and 2 r.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3\/252*6*4)\/((-18)\/21)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513*c - 999*c + 4*c**3 - 2*c**3 + 486*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -z - 4*y + 5, -2*z = 4*y - 16. Put z, -3, 4 in increasing order.\nAnswer: -3, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(931) + 0 - (-3 + -1*sqrt(931))**2)*-1.\nAnswer: -1884 - 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-7 + (0 - -6)) - (-3 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*w - 125, d - 4*w = -d + 30. Suppose -20 = -5*i + d. Let y = i - -10. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26236 in 0.2, 3, 2\/997?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 99 = 4*n, 2*w + 3*n = -2*w + 73. Let q = -6 - -12. Suppose 16 = 4*j, -3*d - j + w = q. Solve d = 3*s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39081.183 + -39107. What is d rounded to the nearest integer?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-4 - -11) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3383?\nAnswer: 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 1, 0, 9 in descending order.\nAnswer: 9, 1, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 0 - (78 - 72)) + (3 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -14. Let k be 1*(0 - (1 - h)). Let j = 3 + k. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*p = 3*k - 12, p + 4*k - 13 = 0. Let u(m) = -m**2 + 14*m - 6. Let h be u(p). Suppose -3*b + 4*b = h. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/5 (b) -2 (c) 0.06 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 4*o + 5*o)*(-4*o + o + o) - 5*o**2 + 2*o**2 + o**2 + (12*o - 10*o + 12*o)*(-5*o + 5*o + 2*o).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1379511*b**3*s + 4*b**3 + 8916*b**2*s + b**2 - b*s + 7 wrt b?\nAnswer: -8277066*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/4795839 and -77\/36?\nAnswer: 19183356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 - 3*n**2 + 27*n**2 + 7*n**2.\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -190.839991885 - -190.84. Round a to 7 dps.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 7 + 6)*(-3*p**3 - 84*p**2 + 40*p**2 + 38*p**2).\nAnswer: -54*p**3 - 108*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuomgjjmljogmmo. What is prob of sequence mmom?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1773062 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) 175 (c) 3\/10 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -434547750 divided by -650?\nAnswer: 668535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8*d + 45 = -5*n, -5*n = -d + 45. Let b(a) = a**2 + 8*a - 6. Let h be b(n). Suppose -h*x = -7 + 16. Is x less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, i: 2, t: 2}. What is prob of sequence iitt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -101*p**2 - 9\/2*p**5 - 59\/2*p**3 + 14*p + 36 + 45*p**4 = 0.\nAnswer: -1, -2\/3, 2\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1) + 4 + -1. Let c = j + -2. Let n(p) = 2*p**2 - 3*p**2 + 2*p**c. Let y(r) = 3*r**2. What is y(n(h))?\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 471 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1411, 1118, 631, -50, -925, -1994?\n\"Answer: -97*s**2 - 2*s + 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m - 10 = 0. Suppose 5*u + 7 + 10 = -3*y, 0 = 3*y - m*u - 23. Let p = 3289 + -3290. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 7*w**2 - 52*w - 415. Give s(-9).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**7*z*z**(-2\/11))\/(z**(1\/3))**43)\/((z*(z\/((z**(-1)*z)\/z))\/z*z*z)**(7\/6)\/((z*z**7)\/z**(4\/3))) assuming z is positive.\nAnswer: z**(-149\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l**3 - 9*l**2 + 19*l**2 - 8*l**2 - 14*l**3 + 37*l**3.\nAnswer: 2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.143 - -0.143. Let o = -7.07 + 4. Let l = -0.07 - o. Which is the closest to 5? (a) t (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261.6087 centuries to years.\nAnswer: 26160.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from auerrrrearrr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -66255.15 rounded to the nearest one thousand?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - o = q + 114, 3*q - 5*o = 178. Suppose -6*g - q = -10*g. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1082276 and 99262.\nAnswer: 3202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 l when three letters picked without replacement from oloolllolloolllooooo.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*(-90)\/(-108)*(-4)\/10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -128, -256, -436?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -351226.\nAnswer: -5268390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 148748*i**4 + 2*i**3 + i**2 - i + 33909505 with respect to i.\nAnswer: 594992*i**3 + 6*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27119742.3 nanoseconds in weeks?\nAnswer: 0.00000004484084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b7209 (base 12) in base 3?\nAnswer: -1212010220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 47*m - 71. Let u be h(-7). Let n be -3*(u\/(-12))\/(-10). Suppose 2*d = 5*d. Solve d = 5*p - n - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119439061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/8 and -3 - -1 - 295\/20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313 + 91 = 74*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 1\/4 (b) 2\/7 (c) 0.273 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14456811 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0194 - 0.014. Round k to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.1 - 66.15. Let k = 53 + x. Let j = 1.05 + k. Which is the nearest to 0.02? (a) j (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -179*t + 842. What is v(5)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-10))\/((-30)\/(-1875)). What is the greatest common factor of n and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59.6 and -6?\nAnswer: 357.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -17. Let x = 13 + h. Let f = -26.00000065 + x. Round f to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:31 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + g + 177. Let c be s(0). Let h = -110 + c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 560 = -280. Let b be (20\/(-6))\/((-1)\/6). Calculate the greatest common factor of b and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -507045, -1, -2, 13 in descending order.\nAnswer: 13, 1, -1, -2, -507045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 80, 101, 132?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 106 and 0.4?\nAnswer: 105.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2058357 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 - 11 = -5*r, -5*r + 4*k + 24 = 0. Which is the second smallest value? (a) -0.5 (b) r (c) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 106340 - 1?\nAnswer: 106338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 + 28. Let i = 33 + x. Solve l = i*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 944110269060997\/35042 - 26942248426. Let f = 4\/2503 + z. Calculate the common denominator of -57\/2 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2302325, -9209303, -20720933, -36837215, -57558149?\n\"Answer: -2302326*p**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12021210102122 (base 3) to base 12\nAnswer: b36615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12357244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 10. Let c(w) = -134 + 417 - 143 - 2*w**2 - 140. What is c(y(g))?\nAnswer: -8*g**4 + 80*g**2 - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*c**3 - 7*c**3 - c**3)*((1 - 6 - 9)*(c - 4*c + 4*c) - 2*c + 0 + 0) to the form b*c + q*c**3 + a*c**4 + r*c**2 + u and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/99 + (-9)\/81.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(-4*sqrt(136)*-4 + sqrt(136)))\/(-3*sqrt(128)*1 - sqrt(128)*1*3).\nAnswer: -17*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 3*f + 27. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4145073 is divided by 138169.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 623 - -3?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 5. Give v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 30. What is the second derivative of h + 17 - 36 + p + 3*h - 65*h**3 wrt h?\nAnswer: -390*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k - 3*a - 31 = 0, 47 = 4*k - 3*a. Suppose 3*p - 11*p = -k. Which is smaller: p or -2\/69?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*(46 - (-8806)\/(-148)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1347207, 1347210, 1347213?\nAnswer: 1347216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1064 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 1\/20*k**4 - 4\/5*k + 157 + 3\/25*k**5 - 1\/30*k**6 - 11\/15*k**3 + 6\/5*k**2. Solve j(z) = 0 for z.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 30 + 72 - 138 + 35 - n. Let p(j) = 10*j + 6. Give 5*p(w) + 30*q(w).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 924 - 876. What is the highest common divisor of o and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2653734 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10794 is divided by 521.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -14. Suppose -z - 13 = -4*u, 4*z - 2*u = 2*z - 8. Let h = -7.1 + 7. Which is the closest to z? (a) i (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -12. Which is the biggest value? (a) 15 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77116 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6573 + 169274. Is l 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 25698962?\nAnswer: 2, 167, 76943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 21. Let g be o(-9). Let k = 58 + g. Let f(x) = -x**3 - 7*x**2 + 7*x - 4. Let r be f(k). Solve 0 = -j - 0*j - r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 (base 2) in base 8?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 5. Let m(r) = 3*r**2 - 6. Let t(j) = -5*m(j) + 6*w(j). Let c(s) be the third derivative of s**4\/24 + 4*s**2. Calculate c(t(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 185 - 165)*(-4*m - m + 7*m).\nAnswer: -684*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (1 + (-8 - 3) + 18) - 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8626 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-769*t + 11691*t + 9558*t)*(0*t**3 + t**3 + 0*t**3).\nAnswer: 20480*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 - 4*h**2 - 22*h**2 - 21 + 11*h**2.\nAnswer: -21*h**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487869430?\nAnswer: 2, 5, 2579, 18917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, e: 1}. What is prob of sequence eddd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2624 = -0*b + 4*i, 4*b + 2*i - 3462 = 0. Let m = 1551 - b. What are the prime factors of m?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 16, 0.5, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*a**2 - 3)*(6*a - 7*a + 15*a)*(-2 + 3 + 0) to j*a**2 + u*a**3 + y*a + g and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 307483*j**2 + 385926*j?\nAnswer: 614966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 9 + c + 25 to the form i + b*c and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.683 - 4.683. Put -0.3, -8, 1\/7, x in descending order.\nAnswer: 1\/7, -0.3, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 451*d**3 + 13113*d**2*n - 16648512*d + 3*n wrt d.\nAnswer: 2706*d + 26226*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 7*c - 1. Suppose p = x + 26, 6*x - 69 = -4*p + 3*x. Let r be p + -17 - (1 + -3). Is s(r) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-nine fifths of a meter?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, 0, 10, -4 in decreasing order.\nAnswer: 10, 0, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 117.69 + -220.861. Let b = l - -103. Round b to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 4*f**2 - 4. Let h be d(3). Suppose 2*k = 4*r - 236, 236 = 3*r + r - h*k. Calculate the remainder when r is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 4551?\nAnswer: -4561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*f + 81 = 0. What is the least common multiple of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3007950?\nAnswer: 2, 3, 5, 11, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7375.4 - -7375.2269814. Let n = j + 0.173. Round n to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 15 + -5 - (0 + (-6 - -8))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -1672*d**3\/3 - 901*d**2\/2 + 8*d - 79. What is the derivative of m(o) wrt o?\nAnswer: -3344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01261382 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = -h + 7, -4*h + 16 = 4*p. Suppose -4*a = -4*v - 4, -a - 3*v + 2*v = -7. Solve 0*j - 2*j - a = p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-7) - ((-1544)\/28 - -7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-70))\/((-4)\/(-5)). Are u and -0.205 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxbkxfxakarxx. What is prob of picking 1 k and 1 r?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 94993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = 1. Suppose -12 = 3*c + 5*x, 0 = -0*x - 4*x - 12. Solve -2*k - 5*g + 5 = 3*k, -2*g = l*k + c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.07 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1308)\/(-545)*(-30)\/9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1019 - 1068) + ((-1254)\/(-54) - 12\/54).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s + 1. Let f be x(-5). Calculate the highest common divisor of f and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 8*j**2 - 12*j. What is a(-9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 5*x + 1. Let p be h(5). Suppose -3*b + 7 = 2*i, -i - 3*i - p = b. Let f(y) = -y. Determine f(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 18\/26779 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 17, 4, 0.14, -2, -396\/197, 2\/5?\nAnswer: -396\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {y: 7, o: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 23) + 249 + -234 - -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/45)\/((((-15)\/(-5))\/(-3))\/35)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20224 and 512?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + s + 1. Let r(b) be the third derivative of -b**6\/60 - b**4\/6 - b**3 + 3*b**2 - 4*b. Determine r(j) + 6*z(j).\nAnswer: -2*j**3 - 6*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -0.7. Let y be 3575\/275 - ((-3)\/6)\/(2\/(-52)). Put r, y, -5 in descending order.\nAnswer: y, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**5 + v**4\/6 - 68*v**2 - v - 88. What is the third derivative of c(h) wrt h?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 4*q + 3. Let l be (-126)\/(-8) - 9\/12. Let f be l\/(-5) - (1 - 0). Let s be x(f). Solve n = s*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 36045 = 5*s, -23*m - 3*s = -27*m - 28815. Let f = -151271\/21 - m. Let y = 3070 + -18475\/6. What is the common denominator of f and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -8. Let m be (8\/s)\/(2\/(-5)). Solve z - 9 = -2*v, 3*z - 21 = -m*v - 2*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912 a factor of 276220904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 2. Let q be p(0). Suppose k = -4*z - 2, -q*k - 8 = 4*z + 2*k. Solve z*y + y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g - 29*g = 5*k - 25, -5*k = 4*g - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 48, 55?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38912351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1903621120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -49. Suppose 0 = 3*g + 3*a - l, -2*g + 3*a + 6 = -10. Solve 1 + 4 = g*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 - 2*s + 12. Let a be l(6). Suppose -3*v - 4*r + 1 = -77, a = -4*r - 12. Calculate the smallest common multiple of v and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037 plus 0.0678192113?\nAnswer: 0.0308192113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -31*i. Let x(y) = -2573*y**2. Calculate a(x(f)).\nAnswer: 79763*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2857 - 3045.7. Let o = t - -189. Sort 2, o, -0.1, -0.6 in decreasing order.\nAnswer: 2, o, -0.1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1918898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 2*t**3 - 4*t**2)*(7266 - 2*t - 24424*t**2 + 2*t - 7266).\nAnswer: 48848*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (18 + -12 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3220104 (base 5) to base 13\nAnswer: 1b9bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21*1354\nAnswer: 28434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 4. Let g be t(-11). Does 2 divide 2*-1 + 172 + g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34992 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 4*k**2 - 4*k**2)*(-4 + 3 - 2)*(0 + 2 - 11)*(5*k - 2*k - k)*(3 - 1 - 1) - 2*k**4 + 0*k**4 + 0*k**4.\nAnswer: -110*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -323 - 13.5.\nAnswer: -336.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7068 - 7067. Calculate the least common multiple of 4960 and j.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(1300) + 0))**2.\nAnswer: 195000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 3447 = -343. What are the prime factors of v?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, h: 5, e: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -238696057 + -485937.\nAnswer: -239181994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*k + 2*k = 12, o = 5*k + 3. Suppose h = -2*n + 6*h + 62, -2*h = 3*n - 131. Suppose o = -2*v + n. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -376.9 + 377. Is h > 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831188 is divided by 557?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/34157 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -324 + -406?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -926*q - 14577. Determine h(-16).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 1 + 1)*(-19 + 58 + 2*d + 12).\nAnswer: -2*d**4 - 51*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + 1)\/(16\/192). Suppose -3*d - y + c = 3*y, 2*d + 3*y = 39. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2244845157?\nAnswer: 3, 53, 59, 239297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.29. What is the third biggest value in 1, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o + 2. Let u be i(-4). Let v = u + 35. Calculate the remainder when ((64\/(-12) - -3) + 2)\/(193\/(-21423)) is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-16)*b**18 assuming b is positive.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 2:55 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 + 1854669*d + 370934.\nAnswer: -(d - 370934)*(5*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + sqrt(192))**2 + -2 - ((-1 + sqrt(192))*-4)**2 - (sqrt(192) + (-1 + sqrt(192))**2*5 + sqrt(192) - -6*(sqrt(192) + -1))).\nAnswer: -3858 + 272*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*j - 39 = 346 + 19. Solve -4*y + 56 = j*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - 817ca5?\nAnswer: -817cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 2*n + n)*(-2*n + 3*n - 3*n) - 3*n - 3*n**2 + 3*n)*(-39*n**3 + 10*n**3 - 43*n**3).\nAnswer: 504*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/11*2\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 10*p**2 - 11*p + 12. What is the units digit of l(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/(-45) + (-4)\/(-18). Calculate the smallest common multiple of 9\/(-3) + s*7 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 7*k - 270 - 247 = 0, 0 = -5*j + 4*k - 1098 + 1387 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13*(-50)\/(-325))\/(98\/21).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6 - 9*n + 4*n + 5*n**2 - 4*n**2. Let s be w(5). Solve x = s*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -490*u - 2380. Give r(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, a: 8, j: 2, v: 5}. What is prob of sequence av?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 23)\/((-80)\/90 + 1) + (-10 - -2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 234, 475, 736, 1029, 1366?\n\"Answer: 2*d**3 - 2*d**2 + 233*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1205 (b) -2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 100?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o**2 + 154 + 0*o**2 - 11*o**2 - 153 - 9*o**2 - 3*o**2.\nAnswer: -11*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503600*h = -503762*h - 5670 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -1, -11 in increasing order.\nAnswer: -11, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1375739.\nAnswer: 1375739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4423*s. Let b(v) = -20531*v. Determine k(b(l)).\nAnswer: 90808613*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 11:13 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 866 - 1247. Let m = 381 + w. Let j = -13 - -8. What is the second smallest value in j, m, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 39*n + 3782. Calculate z(-80).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(9)*-2*-2)\/(((sqrt(432)*-1 - sqrt(432)) + sqrt(3))*-2))**2.\nAnswer: 108\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 20. What is the remainder when r is divided by (70\/(-25) + 2)*5\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.47 (b) -1 (c) -5231 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, 9, 21?\n\"Answer: 12*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-5))\/((-56)\/63*51\/(-272))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -151075106 and -151075104 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 0.05 (c) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:48 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 11*r + 51 - 51 - r**3 to z*r**2 + o + j*r + h*r**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*i, 4*q - 8*q = -2*i + 30. Let y(t) = -t**2 - 2*t + 9. Calculate y(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46107, 90491, 134877, 179265, 223655, 268047?\n\"Answer: h**2 + 44381*h + 1725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2990158 - 41\nAnswer: -40.7009842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9949341*z**6 + z**2 - 639*z - 554 wrt z?\nAnswer: 1193920920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(21)\/(sqrt(252)*-1).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 - 9.5. Let h = g - -3.14. What is h rounded to 1 dp?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h + 1. Let y(r) = -87*r + 2. Determine 5*d(l) - y(l).\nAnswer: 72*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/56*-4 - 2\/4. Factor 1\/2*f**4 - 1\/4*f**5 + c*f**3 + 0 + 1\/4*f - 1\/2*f**2.\nAnswer: -f*(f - 1)**3*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + -100. Suppose -274 - 317 = -4*q - 5*t, 0 = -2*q + k*t + 301. What are the prime factors of q?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130050 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqmvvmmv. What is prob of sequence vqm?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 10*a - a. Suppose 156 = -y + 14*y. Calculate the greatest common factor of y and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 60681 - 60686 = 2*s, 3*q - 7 = 5*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5703187?\nAnswer: 7, 814741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t - 3*o = -40, o - 87 = -5*t. Suppose t = 4*i - 5*d, -3*i - 3*d = -2*i. Let r = 4 + -4. Solve l + 1 - i = r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-16))\/(6\/48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351609122 to the power of 1\/2, to the nearest integer?\nAnswer: 18751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Solve -l = -3*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 - 12*o - 223. Let p be u(-7). Solve 4*k + 5*j = p*j - 7, k - 2*j = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5*p + 35, 2*y - 5*p + 4 = -3. Suppose -y*t = t - 105. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 9) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8588038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n + 93. Calculate the remainder when 596 is divided by k(16).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/120 - k**5\/30 + k**4\/8 - k**3\/6 + k**2. Let g be h(3). Let t = g + -11. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/4*72\/(-27). Suppose -p*c = -48 + 22. Suppose -2*z - c = -15. Calculate the lowest common multiple of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from hzzzhzzzhzhh?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(16\/(-30)) + 417\/278)\/(-51)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3135.\nAnswer: 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180.1 + 838. Let h = m + -92.9. Let t = h - 565.0291. Round t to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 5*m + (-3*m - m + 2*m)*(3 + 2 - 1) - m + 0 + 0)*(-2 - 7 - 2)*(4 - 4 - 1).\nAnswer: -77*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.3 - -8.4. Let r = 5.299 + s. Let h = 0.001 + r. Which is the closest to -1? (a) h (b) -3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1693, 1, -1, 1\/6, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 23, -4, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -526 + -80160?\nAnswer: -80686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -11*h. Let t(l) = 18*l**2 - 2*l - 8. Determine b(t(n)).\nAnswer: -198*n**2 + 22*n + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 497167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -343*w**2 + 2*w - 1. Let z(p) = 4*p**2 + p. Let j(h) = s(h) - 2*z(h). Let b(x) = -4*x**2. Calculate b(j(l)).\nAnswer: -492804*l**4 - 2808*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -15 (c) -3 (d) 0.2 (e) 3 (f) -10171\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) + -2*sqrt(576) - 2*sqrt(256))*2)\/((-6*sqrt(48)*-2 - sqrt(48))\/(sqrt(96)\/sqrt(4) + sqrt(24))).\nAnswer: -112*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 6*h**2 + 7*h + 7. Does 2 divide f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwwbbbmwwwwkmwwkwwk. Give prob of picking 2 b and 2 m.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*t + 10, 2*q + 6 + 19 = 5*t. Which is the smallest value? (a) 2 (b) 1\/4 (c) q (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 12.9. Let l = -1.2 + y. Let k = l + 8.8. What is the third biggest value in k, -2\/15, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*w**2 + 305*w**4 - 3*w - 612*w**4 + 304*w**4 - 9*w**3.\nAnswer: -3*w*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1968 (base 11) to base 9.\nAnswer: -3371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66.72 - -65.42. Let i be (-3 - -3) + -1 + 3. Suppose -m - m + q = i, 3*m + 8 = -q. Which is bigger: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/17, -1, 8\/5 in ascending order.\nAnswer: -1, -1\/17, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oll when three letters picked without replacement from {l: 2, o: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1301 + 1?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3 - 3*o**2 + 368*o**3 - 482*o + 484*o - 364*o**3. Let x(c) = -c**3 + c**2 - c - 1. What is 2*l(j) + 6*x(j)?\nAnswer: 2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(711*s**2 + 17738 - 196*s**2 - 2*s**4 - 515*s**2).\nAnswer: -2*s**4 + 17738","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 334.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + a - 16, -36 - 4 = 5*v + 4*a. Let w(q) = 51250*q. Let n be w(v). Round n to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/5 + 352*k**2 + 3517*k\/5 + 1758\/5 = 0. Calculate k.\nAnswer: -1758, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**5 - 1496*x**4 - 14416*x**3 + 52264*x**2 - 55276*x + 18928 = 0.\nAnswer: -364, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17407 = 373*p + 995 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 12*z + 27. Suppose -59*t - 209 = 381. Calculate c(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 440883364 to the nearest integer?\nAnswer: 20997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 25. Let v be -2 + 3 - (-18)\/l. Let o(f) = -f**2 - 10*f - 11. Determine o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a73 (base 12) in base 13?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/2, -8, 280\/13.\nAnswer: -8, -3\/2, 2, 280\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -29335 divided by 5113?\nAnswer: -29335\/5113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 10. Let k be v(-5). Let w be (k - -5)\/(2 - 1). Are 0 and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from fffgfgg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -7 + -41 + 56\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 8*w - 36, 24*w - 27*w + 14 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 397 = -4*d + 577. Suppose 40 = -d*q + 55*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/((42\/8)\/7). Suppose -9 = -q*f + 135. Solve 2*h + f = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1377)*-1 - sqrt(1377))**2 - (-1 + sqrt(1377))**2*-3) + 1 + sqrt(1377)*1*-2 + 1 + 3.\nAnswer: -72*sqrt(17) + 26171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyrrryylryo. Give prob of picking 2 y and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21319056 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 2*v - 995 = 517. Is -66 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1296 divided by 3\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 1001010111111100100000001?\nAnswer: 1001010111111100100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*y + 25, 5 = 4*g + 2*y - 17. Let u(r) = 91 - 46 + 2*r - 53. Let o be u(g). Sort 1, -5, o in ascending order.\nAnswer: -5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/204352212 and 23\/435.\nAnswer: 1021761060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205725585 is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40686.\nAnswer: 2, 3, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5 - 2691*z**4 + 2402978*z**3 - 702237598*z**2 - 8750402979*z - 8045759711 = 0.\nAnswer: -11, -1, 901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 900 or 90820\/101?\nAnswer: 90820\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.716722568 * 0.3.\nAnswer: 0.2150167704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 144*r - 134*r - 30. Let o(p) = 5*p**3 + 4. Let n(j) = 5*j**3 + 3. Determine r*o(k) - 4*n(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 8*c**7\/7 - 22*c**3\/3 - 1. Find the third derivative of s(o) wrt o.\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1882665*l**3 - 1601725*l**2.\nAnswer: -11295990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 15*r + 1. Give y(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 5*g**2 + 6*g + 8. Let h be f(-6). Let x = h + -2. Let i = x - 4. Solve -10 = -i*t + 2*w - 2, -26 = -5*t - w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**3 + 9*f**3 - 6*f**2 - 12*f**3 - 21*f**5 - 42 - 26*f + 54 wrt f.\nAnswer: -420*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 v, and 1 j when three letters picked without replacement from {v: 1, h: 9, j: 6}?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -0.52, 3\/2, -1?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 939 + 68. Suppose -t + 2 = 0, -24 = -c + 3*t + r. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 0*t**2 - t + 0*t**2 + 2*t**2. Suppose 22 = v + 4*j, -4*j + 3 = -3*v + 21. Let q = v + -8. Calculate y(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3864 + -618167\/160. Let c = 3991\/4 - 8057\/8. What is the common denominator of c and b?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1702501.4041 - -58.\nAnswer: -1702443.4041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375012 and 5307935.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:07 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2 - 2)*(-2*l**2 + 3*l**2 + 0*l**2) - 13*l**4 + 0*l**4 - 13*l**4.\nAnswer: -27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2 and 0 + 0 - 203\/(-882)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45807 is divided by 7596?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 6*o + 2*o)*(-2*o**2 + 4*o**3 + 2*o**2)*(-3*o + 9*o - 2*o).\nAnswer: 144*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.286 - -38.2858. Let t = 3.3 + -0.3. Let x = j - t. What is x rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**(-2\/19))*y\/y**1*y*y**(-1\/6)\/(y\/(y*(y*y**(-3\/5)*y*y)\/y)) assuming y is positive.\nAnswer: y**(1213\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(52\/(-48) + 1)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -19, 0.2, 1\/6, 1\/3 in decreasing order.\nAnswer: 1\/3, 1\/4, 0.2, 1\/6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:33 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 6*8\/12. Let g = r - -11. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/20 - 26\/(-5). Suppose -p*z = -v + 39, -v - 31 = -2*v + 3*z. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 3, -3, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 0*m + 10*m + 5*m + 7*m - 2*m + 5. Suppose -2 = l - 3. Is 11 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158637 is divided by 7930?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -848, -3514, -7956, -14174, -22168, -31938, -43484?\n\"Answer: -888*y**2 - 2*y + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46, -57, -82, -127, -198?\n\"Answer: -b**3 - b**2 - b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 17*(-4047)\/(-969).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1))\/z**(3\/4))\/(z*z*z\/((z*z*z*z**1)\/z))**(3\/17) assuming z is positive.\nAnswer: z**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.976, -0.4, 2\/17, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 9. Let i be (25\/10)\/((-1)\/(-2)). Let w be (-1 - 0)\/((-1)\/i). Solve 0 = -y + q*o + 7, w*y = -0*y - 5*o - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -2 - (-5 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*f*r**3*s + 7*f*r*s**2 - 2*f*r*s - 2*f*r + f*s**2 - 5*r**3*s**3 + s wrt s.\nAnswer: 14*f*r + 2*f - 30*r**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*-5*4\/(-60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 27*l**2 - 40*l + 29. What is the thousands digit of c(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 766.999999068 - 767. Round n to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*i + 34*i = 3*i + 2063313. What are the prime factors of i?\nAnswer: 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340898, 1363207, 3067056, 5452445, 8519374?\nAnswer: 12267843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27404083.\nAnswer: 7, 71, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12067 + 29114. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 39*q**2 - 75*q + 6. Give g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/822 and -16\/2049.\nAnswer: 561426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*z**2 - 104*z + 5*z**2 + 0 + 9*z**2 - 1 to t*z**2 + w + p*z and give p.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3070 and -5.7.\nAnswer: -17499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3808965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/6 (b) -0.5 (c) -2\/2355 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 2*z**3\/15 + 13*z**2\/5 - 42. Factor q(u).\nAnswer: 2*u*(u + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(4\/5)*z*z*z**(-3\/10)*(z**2\/z)\/z**(9\/5) assuming z is positive.\nAnswer: z**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.166078 and 0.0273.\nAnswer: 1.193378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d + 5. Suppose 2*y = y + 90. Suppose -5*z = 3*c - c - 225, 2*z - 2*c = y. What is the greatest common factor of z and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131.47302 minutes to hours.\nAnswer: 2.191217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 768.67 - 35394.67. Let d = -34626.699975 - q. Let x = -0.7 - d. Round x to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t - 25 = 0. Suppose -l + t*x + 49 = 3*l, -4*l - 2*x + 14 = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + d**2. Let x(p) = -p**3 - 4*p - 5. Let w(m) = 4*q(m) - x(m). Let g(h) = 6*h**3 + 5*h**2 + 5*h + 6. Give -4*g(l) + 5*w(l).\nAnswer: l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 23 = 3*p, -4*h + p + 11 = -4*p. Suppose -4 = -4*v, h*v - 1703 = -5*l + 6*v. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/60*-1)\/(6\/(-10)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:09 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 0 - 5\/2*l**2 + 1\/4*l**4 + 5\/6*l**3 + 2*l. Let c(w) = w**2 + 2*w - 2. What is 5*c(g) - 2*n(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 0, 243, 81 in increasing order.\nAnswer: 0, 61, 81, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, 3, 0, -2808 in increasing order.\nAnswer: -2808, 0, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184847221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m - 5. Let x be ((-3)\/(-2))\/(21\/154). Let w(o) = -16*o + 26. Let b(f) = x*u(f) + 2*w(f). Calculate b(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 15 + d - 10 + 12 + 2. Is q(8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8. Suppose -2*v = -2, r*v + 34 = 5*n - v. Suppose 0 = -3*u - 4 + n. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvwpttutwwpppt. What is prob of picking 1 p, 1 u, and 1 t?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 120*(2\/4 - 114\/(-60)). What is the highest common divisor of 36 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 40.6. What is the third smallest value in r, 2, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 6:54 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = 9. Suppose -210 = -14*a + g*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*d - 2*y, 24*d + 4*y = 25*d + 12. Solve -g = -d*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 47, -18, -85, -154?\n\"Answer: -h**2 - 62*h + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -1, 7, 31, 77, 151, 259, 407?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 612\/30 + 62\/(-155). What is the highest common divisor of 820 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 13) to base 11\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*s - 8*s - 1160. Let j = 287 - s. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1232340 + 2132?\nAnswer: 1240022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 21*n + 73470 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2554610469?\nAnswer: 3, 851536823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, 9, -3\/8, 5\/6 in descending order.\nAnswer: 9, 7\/5, 5\/6, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/116360553 and 65\/69.\nAnswer: 2676292719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + -3 + (-737884)\/(-54) + -1. Let b = u + -13657. Calculate the common denominator of 31\/198 and b.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07845*-8.37\nAnswer: 0.6566265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6468)\/(-28) + 0\/1 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.220846533 rounded to four dps?\nAnswer: -0.2208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -230545 divided by -1\nAnswer: 230545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38908247 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18 - -3.82. Let n = 8 - s. What is the second smallest value in n, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*o - 18, -2313*t - 7 = -4*o - 2310*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2018806 at least as big as -2018817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2165964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16 + 1)*7\/21. Let x = 10 + w. Suppose 0 = -2*u - 4*j, -4*u + 5*j = -x - 21. Solve u*c - 7 - 1 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 42*m**2 - 431*m - 365. Determine d(11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44 (b) 1\/3 (c) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -5. Let m = o - -2. Let r be 3 - -2*(16\/(-12) + 0). Which is the fourth smallest value? (a) m (b) -19 (c) 3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, -1, -3\/5, 54 in descending order.\nAnswer: 54, -1\/14, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -176*c**3 + 2*c**2 - 5*c - 7. Let r be o(-1). Solve -132 = -44*v + r for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3 + (0 + 3 - 5)*(6 + 2 - 7))*(0*m + m + 0*m) - 17*m + 12*m + 7*m as s + x*m and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3567992 divided by 891998\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**2\/2 + x - 1. Let o be h(-3). Let w = 7 - o. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11276028200 to the nearest 1000000.\nAnswer: 11276000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16796?\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.094632 micrometers?\nAnswer: 94.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -20. What is the highest common divisor of 36 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005294595 to seven dps.\nAnswer: 0.0005295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-28) + 354\/4. Let g = 148 - j. Calculate the highest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.3 - -7. Let z = -1.16 - -1.26. What is the nearest to -1 in z, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 + 260*q**4 + 27040*q**3 + 1406080*q**2 + 36558080*q + 380204032.\nAnswer: (q + 52)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 2:00 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31454754 + 57045221. Suppose -57*h + 119 = -166. Suppose 3*d = b + d - 17699990, -5*b + y = -h*d. Round b to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + a**2 + 1. Let m(s) = 7*s**3 + 3*s**2 + 3*s + 3. Let q(d) = -m(d) + 5*v(d). Give q(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26631314*c**4 + 38*c**2 + c + 20321.\nAnswer: -639151536*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.3 (b) -0.9 (c) 4 (d) -2\/9 (e) -1.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**4 + 2*d**4 + 0*d**4 + (-1 + 2*d + 1)*(-d + d + d**3) - d**2 + 2*d**4 + d**2 + 9*d**4 - 3*d**4 + d**4 + 19*d**4 - 17*d**4 - 58*d**4.\nAnswer: -46*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(2\/11)\/b)\/b**(1\/12))\/(b**(-6)*b\/(b**1\/b)) assuming b is positive.\nAnswer: b**(805\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = -5*h, -p + 0*h = 2*h + 9. Let z be p\/2 + 10\/4. Let q = 3 - z. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -189*d**3 - 81*d - 361*d + 726*d**3 wrt d.\nAnswer: 3222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20343000 rounded to the nearest one hundred thousand?\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = -45. Calculate the highest common divisor of c and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2153 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27e447 + -b7?\nAnswer: 27e380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 878 = 5*w + s, -5*w = -3*w - 5*s - 362. Let u be 2\/(-4)*w\/(-616). Which is the second biggest value? (a) 140 (b) -2\/3 (c) u (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4531449 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -440.11 - -440. Which is the fourth smallest value? (a) 2 (b) 5 (c) n (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -18 + 9*s - 37 + 66. Suppose 0 = -14*n + 23*n + 99. Let p(q) be the third derivative of -5*q**4\/24 - q**3 - q**2. Determine n*p(o) - 6*f(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-2)\/(-5). Suppose 0 = -2*j - 6*j + 208. Let s = -24 + j. Solve -2*c + l*w + s*w = -14, 3*w = 5*c - 29 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(5\/12)\/((p**25\/p)\/p)*(p*p\/p**(-10))\/p**(-1\/7) assuming p is positive.\nAnswer: p**(-877\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 4*s**3 + 3*s**2 + (-8*s**2 - 26*s**2 + 59*s**2)*(-s + s - 2*s).\nAnswer: -46*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -9, -26, 0, 7 in decreasing order.\nAnswer: 7, 0, -9, -10, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(1900)*-1 + sqrt(1900))*-4)**2 + (-1*(sqrt(114) + 2*sqrt(114)))\/(sqrt(48)\/(sqrt(8) + sqrt(200) + sqrt(8))).\nAnswer: -21*sqrt(19) + 760000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 1\/60*r**5 + 1\/210*r**7 + 0*r + 0 + 0*r**4 + 1\/60*r**6 - r**2 + 0*r**3. Find h such that k(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-9))**(-17)\/(((q**1\/q)\/q)\/(q*((q*q*q**(11\/2))\/q)\/q)))**(2\/105) assuming q is positive.\nAnswer: q**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11099*o**2 + 50494 wrt o.\nAnswer: -22198*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qozw when four letters picked without replacement from hoqhzwz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 17.68. Let u = -0.08 - g. Put -3\/7, 1\/4, u in descending order.\nAnswer: 1\/4, u, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 21 = 3*i, p + 3 = -3*i - 0. Find the third derivative of -p - 6*c**4 - 4*c**2 + 3 + 0 wrt c.\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 246 = -65. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 248 + 172. Let s = -39 - -41. Suppose -s*x - x = -l. Calculate the highest common factor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614239 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 109 - 16*n + 10*n**2 - 53 - 54. What is the derivative of c(a) wrt a?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -i - 13, 3*x - 8 - 7 = 3*i. Let o be x\/((20\/8)\/5). Suppose -107 = -o*n - m, -3*n + 5*m - 87 = -7*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let r(d) = d**2 - 5*d + 3. Let w(x) = -3*j(x) - r(x). Let p be w(7). Let n(i) = 9*i**2 + 8 - 10*i**2 - 2 + p*i. What is n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2440090\/39 or -62567?\nAnswer: -62567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -54 + 17 + 50\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351233656.\nAnswer: 2, 43904207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 + 82 = -3*t + d, 5*d = t - 28. Suppose -4*n = 2 + 10. Let q = -6 - -1. What is the third smallest value in n, t, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + (sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(22)\/sqrt(2))))**2 + -5)*-1 + ((-5 + -2*sqrt(11) - sqrt(11))*-5)**2.\nAnswer: 748*sqrt(11) + 3105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 357127.5 centimeters?\nAnswer: 3.571275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 33 = -4*h, 3*v + h + h = 11. Let b be v + -1 + -1 - 1. Which is smaller: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 77*b + 21. Let u be a(-39). What are the prime factors of (-6*3\/u)\/((-3)\/(-465))?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 195998 and -51?\nAnswer: -9995898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2455, -2798, -3141, -3484, -3827?\nAnswer: -4170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-44*u + 1 + 42*u - u**3 - 10).\nAnswer: -2*u**3 - 4*u - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6363024, -6363023, -6363022, -6363021, -6363020, -6363019?\nAnswer: -6363018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.046 and 0.461.\nAnswer: 3.248206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -95. Let x = -55.78 - 1.72. Let c = x - g. Sort 11, c, 1\/4.\nAnswer: c, 1\/4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 + 2*h**2 - 5*h + 1. Let z be l(2). Suppose z*q - 24*q + 667 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9801973*n**4 - 8777702*n**2 wrt n.\nAnswer: -235247352*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -121*v + 123*v. What is the third derivative of -14*s**2 + v*s**4 + 36*s**4 - 11*s**4 wrt s?\nAnswer: 864*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42346531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 8598540.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2926 - -2945. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - s**4 + (4*s - 2*s - 4*s)*(0*s**3 + s**3 + 0*s**3))*(19 + 69 - 25).\nAnswer: -189*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4923*z = -4927*z + 16, -32 = 5*h - 3*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 23 - 5*h + 11\/6*h**3 + 1\/12*h**4 + 11\/2*h**2. Let x(k) be the first derivative of m(k). Calculate x(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*f + 5 = -d, -2*f = -4*d + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16828 is divided by 62.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Let x(g) = 2*g**2 + 3*g - 3. What is the remainder when x(-3) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59199 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 114*a**4 + 184*a**3*p**3 + 717*p**3 + 9*p**2 + 4 wrt a?\nAnswer: 456*a**3 + 552*a**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -135110 + 59910. What is x rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:46 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-15)*u\/(u*u*u\/u**0))\/(((u\/(u**17\/u))\/u)\/(u\/(((u\/(u\/(u**(2\/43)*u)))\/u)\/u*u)*u)) assuming u is positive.\nAnswer: u**(41\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 5*k = 4*q - 30, 6 = -3*q + k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**1*y\/(y\/(y**1\/y)) assuming y is positive.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 559, 1245, 2205?\nAnswer: 3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.8 + -4. Which is the nearest to 0? (a) 2 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u - 12 = 0. Suppose 4*x + 3 = -2*c + 1, 4*c + u*x = 8. Suppose c*q + 4 = 14. Solve r - q = -y - 9, r = -3*y - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -14*v**6\/15 + 9*v**4\/4 - 5*v**3\/6 - 81*v**2 - 1506*v. Find the second derivative of m(x) wrt x.\nAnswer: -336*x**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-11)*m**(-4\/5))\/(m*((m\/m**(-4))\/m)\/m)**(-2\/19))**46 assuming m is positive.\nAnswer: m**(-49726\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnydyyyogyy. Give prob of sequence ymg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107\/320 + 15\/64. Let v(h) = -12*h + 1. Let t be v(1). Let j = 25\/2 + t. Which is the nearest to -2? (a) r (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/25 of a millisecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 5*g**2 + 4*g. Suppose k + 3*k = -16. Let h be f(k). Suppose 0 = 5*i + 5*s - 0*s - 35, -5*i - s + 19 = h. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3*b + 54, -2*c - 14 = -12034*b + 12035*b for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+65963\nAnswer: 65962.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 6)*(4*k + 4*k + 0*k + 2*k - 5 + 7 + 5 + (4*k + 2 - 2)*(1 - 2 + 2)).\nAnswer: 42*k + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g**6*g)**(-1\/8)\/((g**(1\/6)*g*g\/(g*g**(-1\/7)\/g)*g*g)\/(g**(1\/3))**22) assuming g is positive.\nAnswer: g**(361\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 155?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 1:07 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*x = -76*x - 102 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 78 + 146 = -18*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*h + 672 = 67*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311 divided by -3?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**3 + 909*d**2 + 187*d - 784. What is q(182)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -530c9?\nAnswer: 530cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -3\/106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10895 + 10895 + 3390*n.\nAnswer: 3390*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1123 (base 4) to base 11\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:47 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0\/(s\/s**(1\/12))*(s\/(s\/(s**(1\/2)\/s)))**(-38\/5)*s**(-2\/3)\/s**4*s**(2\/21)\/((s*s\/s**(2\/7))\/s*s) assuming s is positive.\nAnswer: s**(-1429\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 10\/3*p + 4\/9*p**3 - 100 - 7\/3*p**2. Suppose q(n) = 0. What is n?\nAnswer: 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/10872 and 7\/1944.\nAnswer: 293544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1088 + 0?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*x + 2*x, -3*f = 2*x - 7. Suppose -8 = f*q - 2*q. Let g = 3 - q. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/2 + y**2\/2 + y. Let z = -10 + 9. What is the remainder when 6 is divided by b(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2)*d)**37*d**(-1)*d*d*d**(1\/8)*d assuming d is positive.\nAnswer: d**(1201\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1280162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 82, 1\/8 in increasing order.\nAnswer: -22, 1\/8, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most 6091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**4\/12 - 2*u**3\/3 + 5*u**2\/2 - 65*u + 2. What is t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(3 + 3)*-1*9. Suppose 0 = 4*v - j*v - 59. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1128654 + 271208. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2880 and 2220?\nAnswer: 106560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + g + 30. Suppose -p = -2*p + 5*b + 23, -3*b = 2*p + g. Suppose -p*u + 5*u - 502 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n**2*v - 190*n**2 + 23*n*v + 293*v + 486 wrt v.\nAnswer: n**2 + 23*n + 293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s + 0*s**3 - 19 + 15*s**2 - 33\/5*s**5 + 0*s**4. What is the second derivative of p(t) wrt t?\nAnswer: -396*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.4. Let t = 0.6 - v. Which is the nearest to 0.1? (a) 0.3 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l + 2. Let v(q) = 16*q + 5. Let x(n) = -7*j(n) + 3*v(n). What is the units digit of x(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 820, 1303, 1798, 2311, 2848, 3415, 4018?\n\"Answer: y**3 + 476*y + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((3 - (19 - 6)) + (98 - 3) + -2).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48714 by 69.\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (521*s + 26823 - 26823)*(-1 - 1 + 0) to the form g*s + k and give g.\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, 2447, 8765, 21141, 41597, 72155, 114837, 171665?\nAnswer: 244661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = 2*r. Let p be 5\/r + 6\/(-3). What is the closest to 1 in p, -5, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88188.335 to the nearest ten.\nAnswer: -88190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 7, 0.1386, 2\/5, -2, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-17))\/(a*a\/a**(2\/31))*a**23\/((a*a**(9\/5)\/a)\/a) assuming a is positive.\nAnswer: a**(661\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -377*o**2 + 2267*o - 37. Calculate w(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*9\/(-54)*4\/(-75).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12276?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.46 (b) 13.17 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 17*v + 17. List the prime factors of i(2).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99645 and 2145.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 2*p + 33 - 33.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-37)\/(o\/o**(-37)) assuming o is positive.\nAnswer: o**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3867, -5397, -4621, -1539, 3849?\nAnswer: 11543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, -8, 5, -355, 1 in ascending order.\nAnswer: -355, -10, -8, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 6:07 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 232697*a + 3955848. Calculate y(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*g = 3*v - 14, -2*v - 3*g + 24 = 0. Suppose v*u - 2*u = -24. Is 3\/((5\/(-2595))\/(2\/u)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -m - m, -11 = -m - 5*y. Calculate the common denominator of 569\/(-70) + m\/5 and 5\/60*(5 - (-1467)\/(-18)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17425 (base 8) to base 5\nAnswer: -223312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -909 - -909.01494. What is y rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**7\/70 - v**4\/8 - 3*v**2\/2 + v. Let d(p) be the first derivative of k(p). Find the second derivative of d(g) wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 52 = -45. What are the prime factors of p\/((-7)\/(-50)) + 0\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -1. Find the first derivative of 7*c - 1 - q*c + 6*c**3 wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2636.39 and -0.5?\nAnswer: 1318.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*g + 12, 4*g - 2*h - 15 = -g. Suppose s = 5*y + 45, -4*y + 8 = g*s - 51. Let k = s + -4. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.055081+-176\nAnswer: -175.944919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 9779 and -19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4641*d - 921*d - 924*d - 920*d - 914*d - 959*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 5267510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b. Let q be u(2). Suppose -31 = -69*i + 38*i. Calculate the highest common divisor of q and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125617516 divided by 148?\nAnswer: -848767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*a = 12*a + 39*a - 990 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 4*g - 7. Let h be w(6). Suppose 4*t - 109 = -h*a, 2*a - 42 = -0*t - 2*t. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 1. Let q be h(1). Suppose 0 = -18*y - 257 + 293. Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 266 = -728. Let k = o + 156. Calculate the highest common factor of 42 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*a + 69399371 - 69399371.\nAnswer: 61*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8769 and 1539510.66.\nAnswer: 1548279.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a week?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 36. Let k = -35 - z. Which is the nearest to k? (a) 2 (b) -1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 8*z**2 - 8*z**2 - 3*z**3 + 43*z**2 + 2 - 12*z**2 - 13*z**2 as t*z**2 + r*z**3 + q + l*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8\/34)\/(115\/(3565\/(-186)))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 - 7*k**4 + 129*k**3 + 1107*k**2 + 972*k.\nAnswer: -k*(k - 12)*(k + 1)*(k + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 + 2*s - 3. Calculate f(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3458346ml in litres?\nAnswer: 0.0003458346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 13*i**2 - 3*i - 8. What is n(-6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 2*i - 2*i)*(-1 + 0 - 1) + 4*i**2 + 0*i + 0*i + (3*i - 3*i - i)*(2*i - 2*i - 2*i) + 4*i**2 + 0*i**2 - 5*i**2 - 3 + 3 + i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 plus -133?\nAnswer: -133.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20.03009 millilitres?\nAnswer: 0.02003009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3\/9 - 4*s**2\/9 - 8*s\/9 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/110055*-30*(-121)\/(-22)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/11 - 6*b**2\/11 + 8\/11 = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 4:40 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 16, 0.5, 0.1, 3, 73.\nAnswer: -6, 0.1, 0.5, 3, 16, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22903\/11, 2\/15, -1\/2 in descending order.\nAnswer: 22903\/11, 2\/15, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s**2 - 2*s + 2. Let o(d) = 2*d + 53. Let q be o(-26). Calculate k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/20 - (3 + -14 - -4).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -639*s + 4398.\nAnswer: -639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79482833*q**2 + 88434082*q wrt q?\nAnswer: 158965666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92430)\/(-11534) + (106\/(-13) - (-18)\/117).\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 - 2*b**2 - b + 14108. List the prime factors of i(0).\nAnswer: 2, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 4*b + 40, 6*b = -3*o + 3*b + 12. Calculate the remainder when o is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539898 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 58. Let t(a) = -23*a - 18. Let x(b) = -22*b - 17. Let w(o) = 6*t(o) - 7*x(o). Let z(g) = -3*g - 2. Determine s*z(i) + 2*w(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -1\/3, 6\/2221, -0.131?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + ((-12)\/36)\/((-1)\/3). Let f = n + 257. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-6)\/((-24)\/(-20)). Is j < -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (120\/(-14))\/((-2)\/280000). What is n rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-900)\/(-540))\/(50\/108)*(-5)\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 11:48 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1822869644 to the nearest integer?\nAnswer: 42695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 329373 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5405254.34968 from 0.29.\nAnswer: -5405254.05968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, j: 2}. What is prob of sequence jj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-14))\/((-3)\/21). Sort -5, 2, r in decreasing order.\nAnswer: 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/13 - 160*h**2\/13 + 2666*h\/13 + 22188\/13 = 0 for h.\nAnswer: -6, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 10*h**2 - 9*h + 78. Determine m(10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 18. Suppose 3*x - 34 = -4. Let y(k) = -2121*k - 12726. Let h be y(-6). Solve h = -v*a - 3*m - x + 22, 5*a - 2*m + 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysoyggsysgssygyys. What is prob of picking 1 g and 1 y?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4*v + 16, 3*u + 15 = -0*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 456220 to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + ((-21780)\/(-5))\/4. What is the remainder when k\/7 - 1 - 6\/(-14) is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104702\/15 + -6980. What is the nearest to m in 2, 3, 0.3, 87?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*t + 0 - t**3 + 4\/3*t**4 - 1\/3*t**5 - 4\/3*t**2 = 0. What is t?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6 + 18 = 0. Suppose 0 = -m, 4*k - 8*k - 2*m = -36. Let s = k - f. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/4 - (3 + -117). Let w = -159631\/1386 - 107\/198. Let z = w + q. Which is the second biggest value? (a) z (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, l: 6, a: 4}. What is prob of sequence ll?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggpwvgfkkwwwfv. What is prob of picking 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1275)*-6 - 2*sqrt(51)*-6)\/(5*sqrt(6)\/sqrt(2)*6).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (557 - 357 - 200 - 8796*r)*(4*r**2 - 2*r**3 - 4*r**2).\nAnswer: 17592*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Suppose i - 427 = -3*x, -x + 0*x = -y*i - 133. Let c = x + -88. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 147 (c) 0.5 (d) 5 (e) -0.1309\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 181 = o + 4*f, 124*f - 128*f = 2*o - 190 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1087 + -0.108698962. What is x rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -8*j - 121. Let b = 58 + j. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 33*j + 5. Let z(q) = 17*q + 3. Let n(m) = 6*g(m) - 11*z(m). Calculate the remainder when n(15) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*81\/(-54)*1\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 1791253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 195.98 + -198. Let m = u + 0.02. What is the nearest to -1 in 3, m, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000185 rounded to seven dps?\nAnswer: -0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/60 + o**4\/12 - o**3\/6 + 3*o**2. Let x be w(-4). Differentiate -11*z - x*z + 4*z + 10 with respect to z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5760642*s**3 + 5760628*s**3 - 4*s + 4*s + 2.\nAnswer: -14*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 46 = -3*v. Let j = -93\/4 + v. Let t = 11 - 16. Which is the nearest to j? (a) t (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2160 + -1238. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-14) - (-3)\/(6\/(-97)). Suppose -c = -2*m + 7, 4*m = -3*c + 1 - 12. Calculate the common denominator of c\/30*1*t and -79\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4157*t - 12058. Give b(-3).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 16 = -4*o, 5*x - 5*o - 6 - 14 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 1 - 3 - 8*c. Let w be 245\/49 + (16\/104 - 93\/13). Determine g(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {n: 11, a: 5}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 105226 and 21.\nAnswer: 2209746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -2*b + c - 7, -b = -5*c + 24 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6688 + 6691. Let k(x) = -2*x**2 + 7*x - 7. Calculate k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63564 divided by -4?\nAnswer: -15891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 4*s. Let p be n(-4). Let k = 3 + 0. Suppose 0 = 4*t + k*f - p*f - 95, -5*f = -2*t + 41. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2. Let y = 1 + 1. Let i(l) = -y*l**2 + 0*l**2 + 4*l**2. Give i(f(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -50*r**3 + r + 2. What is i(-1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20654018?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -335.8 - -351.8. What is the nearest to 23 in 0.4, -1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 - 24*c**2 + 17*c. Let o(z) be the first derivative of z**4\/4 + 8*z**3\/3 - 3*z**2 - 250. Calculate -6*h(k) - 17*o(k).\nAnswer: k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/(-608) - 666\/1584?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111011 + 110110?\nAnswer: -1000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbgkkbkbkkbkkbb. Give prob of sequence bbk.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1817*s**4 + 2*s**3 + 14*s**2 + s + 39?\nAnswer: 43608*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 - 2646\/(3\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.354 + -2.354. What is the nearest to 0.1 in 0.73, m, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80863.200052 - 80863. Let y = d + -0.2. Round y to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*s = -17, -21 = 2*p - 34*s + 47*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34007*q - 34016*q - 81 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -2)**2*-1.\nAnswer: -1092 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39879 rounded to the nearest one thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506607.885ns to weeks.\nAnswer: 0.0000000008376453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 3:19 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*a - 2. Let b = 3.8 - 4. Sort -4\/5, a, b.\nAnswer: a, -4\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**8\/6720 - r**7\/2520 + r**6\/144 + r**5\/60 + 2*r**4\/3 + 6*r. Let v(n) be the third derivative of j(n). Calculate v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 952.939 to the nearest 10.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6034748.\nAnswer: 2, 1508687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 3)\/((-10)\/2). Let b = -4\/25 + 37\/75. What is the biggest value in f, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 7*g + 3. Determine v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 34.07. Let q = 0.34 - -0.06. Which is the second biggest value? (a) q (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3949 - 3931. Solve 16*p = l*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(1 + 2\/(-20)*8). Suppose -346*v - 18 = -355*v. Solve -v*b = 6, 2*m - j*m = b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8365\/66920)\/(((-8)\/2)\/(-2)))\/((-3)\/(-54))\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 - 0.059682\nAnswer: -0.269682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11532 = 3*k - 3*x, 29*k + 5*x - 7660 = 27*k. Does 30 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -286.9326 + -0.0674. Let f = -3351 + 3350.8. Is r at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/18 + 6\/(-27). Suppose o + 4 + f = 0. Let k be ((-90)\/(-27))\/(6\/(-9)). Which is greater: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) -6 (c) -3 (d) 785769\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 3*j**4\/20 + 49*j**3\/5 - 99*j**2\/10 - 263*j + 3. Factor v(s).\nAnswer: 3*(s + 33)*(3*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 692 - 691. Let q be (2 - -9) + -1*2. Let r = 2 + q. Is t less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135123501 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 870\/(-290)*(-2)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -17. Let d be (-3)\/9*(-18)\/24*-4. Let h be d*(-4 + (-1)\/((-2)\/(-2))). Solve z = 5*a - 20, z - 6*z = h*a - f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 5763.\nAnswer: 5763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*k - 486*k - 127 = 390*k - 40357 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10 - 109758\/(-30) - (-2)\/5. Calculate the greatest common divisor of 41 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 860127287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(-2)\/((-10)\/(-3)). Solve 2*t = 3*z + 1, 0 = -y*t + 3*t + 3*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 92187200*k*r**3 + 460125413*r**3 wrt k?\nAnswer: 92187200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259551 is divided by 51908?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 54. Solve a = -2*r + 3*w + 20, -2*w - 6 = r - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 7:00 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72746 - 509219\/7. Factor d*h**4 + 3\/7*h**5 - 18\/7*h**3 - 9\/7 - 33\/7*h - 6*h**2.\nAnswer: 3*(h - 3)*(h + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1072.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + ((0 + sqrt(200) - sqrt(2)) + 0 + -1 + sqrt(2) - -4*(sqrt(2) + sqrt(32) + 1)) + 2)*4)**2 + 0.\nAnswer: 6720*sqrt(2) + 29584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, u: 4, n: 2}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let g(h) = 8*h + 8. Let q(v) = -8*v - 6. Let x(s) = -3*g(s) - 4*q(s). Determine x(r(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10419, -20837, -31255?\nAnswer: -41673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12)\/(2\/6)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k. Let b(v) = -4*v - 6. Let f = 24 - 7. Suppose 14*x = -49 - 35. Let z(p) = -11*p - 17. Let o(r) = f*b(r) + x*z(r). Calculate g(o(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Suppose h*x - 23 = 7. What is the units digit of 66\/x - 6\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 19*d**2 - 32*d - 8. List the prime factors of b(7).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 10)*(-90)\/(-75). Let u be ((-3)\/(-6) + 1)\/(c\/1984). What is the tens digit of -1*1*u\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - ((sqrt(132) - sqrt(132)*-2) + sqrt(132) - sqrt(132) - sqrt(132)))*2 + -5*-1*sqrt(132))\/(sqrt(1728)*-1*5 - sqrt(1728)).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16418022.99921 - -16418215. Let a = -192 + s. Round a to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 30. Let m be v(-6). Suppose 26*b = 22*b + m. Solve -5*p = -b*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -4*v - 25. Let r(j) be the second derivative of 0 + 0*j**4 - 1\/6*j**3 - 3*j - 3\/20*j**v + 0*j**2. What is the second derivative of r(d) wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**4\/12 + 3*j**2\/2 - j. Let r be u(0). Let z(y) be the first derivative of -y**2 - 34. Calculate z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115 + 2?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -64*g**3\/3 - 4*g**2 + 286. Find the second derivative of v(j) wrt j.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -20 - (0 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 57*y**3 - 15 - 54*y**3 + 33*y - 10*y**2 - 11*y**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0586 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 6*z + 3. Let u(l) = -l**3 + l. Let n(i) = 6*u(i) - w(i). Suppose 9*x + 962 = 944. What are the prime factors of n(x)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-65)\/(-10)*(3 + -1). What is the greatest common divisor of n and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 16 = j - i, 26 = j - 4*i. Suppose 4*o - 4*s = j - 2, 8 = -5*o - 4*s. Suppose -3*b + 235 = 5*l - b, -2*b = o. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 1:54 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 784544 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*g*l**3 + 12*g*l**2 - 2461*g + 4*l wrt l?\nAnswer: 21*g*l**2 + 24*g*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*(-80)\/(-135)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/30)\/((-92)\/(-7475))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-7)\/8)*6\/(-9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 44*f**2 - 66*f + 371. What is the hundreds digit of v(-43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7019556, 7019555, 7019554, 7019553, 7019552, 7019551?\nAnswer: 7019550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/(-58 - -56)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*-1*(2*sqrt(2176) - sqrt(2176))\/(sqrt(2) + sqrt(128)*-2) + 5)**2.\nAnswer: 32*sqrt(17) + 1412\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 8*w**2 + 5*w - 1 - 7*w**2 + 8*w**2 + 5. What is the units digit of r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*z + 261096 = 53*z. What is the remainder when z is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36820 divided by 18410.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -125.2 (b) -3 (c) 40 (d) -0.3 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1060, 2085, 3110, 4135, 5160, 6185?\n\"Answer: 1025*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Solve -o*u = 3*p - 6, -2*u + 16 = -0*p + 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18274 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/28800 and -157\/230400.\nAnswer: 230400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8786489 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5 = v. Suppose -185 = -3*b - 2*b. Suppose 0 = 2*d - 10, -h - b = -4*h - 5*d. Put h, 0, v in increasing order.\nAnswer: v, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 + 880\/(-1700). Which is the second biggest value? (a) 26 (b) o (c) 4 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1983*y - 2264. Give r(-2).\nAnswer: 1702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*w + 2 + 3, -5*l = 2*w - 1. Suppose 81 = 6*j - w*j. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3291365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49, -46, -41, -34, -25?\n\"Answer: w**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -11 - (-1222 + 1222) - 44\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjmmjjjmmjmjjmjjjmj. Give prob of picking 2 j.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**11*s*s*s\/(s\/(s\/(s**(-11\/6)*s)*s*s)) assuming s is positive.\nAnswer: s**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 89527.\nAnswer: 43\/89527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 4*b + b)*(5*b + 4*b - 4*b)*(70*b - 62*b + 98*b) + (3 - 3 - b)*(b**2 - b**2 - 2*b**2) to the form i*b**2 + f*b**3 + q*b + s and give f.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k - 19*k - 18*k.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*c + 1)*(20 + 23 - 31)*(-10*c + 1 + 6*c - 10*c)*(2*c**3 - c**3 - 2*c**3).\nAnswer: -504*c**5 + 36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*sqrt(3) + (-2*sqrt(3)*5 - sqrt(3)) - ((sqrt(48) - (sqrt(48) + 4)) + sqrt(6)\/(sqrt(2) + sqrt(50) + sqrt(2))))**2.\nAnswer: -1782*sqrt(3)\/7 + 33372\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/3, -2\/43, 0, 2\/5 in descending order.\nAnswer: 2\/3, 2\/5, 0, -2\/43, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2394, -4783, -7172, -9561?\n\"Answer: -2389*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 166, 5 in descending order.\nAnswer: 166, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -240 - -345. Let o = a - 629\/6. What is the second biggest value in -16\/7, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/54*3 + 272\/153. Let y be t\/4 - 22\/36. Which is the biggest value? (a) y (b) -6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*k + 2*k + 28 = 0, -4*u + 10 = 3*k. Suppose u*n + 7 = 499. Differentiate 124 - 4*p**2 - 4*p**2 - n with respect to p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-9 + -20 + 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 8:56 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25219984 by 218.\nAnswer: 115688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3661 + -146?\nAnswer: 3512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.230536 and -0.32.\nAnswer: 3.910536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205*q - 30*q**3 + 312*q - 107*q - 262*q**2)*(3 - 3 + 2*q).\nAnswer: -60*q**4 - 524*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2 = 2*m + 5*l, 2 = 2*m - 2*l. Let r = 0.8 - 0.5. Which is the biggest value? (a) r (b) 0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -342, -349, -356, -363, -370, -377?\n\"Answer: -7*o - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m + 6. Suppose -12 = 2*b - m*b. Suppose 8*o - 4*o - 2*r = 2, -o + 5*r = -23. Sort b, o, 0 in increasing order.\nAnswer: o, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 164.79 months?\nAnswer: 13.7325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 15. Suppose -206*o = -201*o + 5. Put o, p, 3 in ascending order.\nAnswer: p, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 117595.2 weeks?\nAnswer: 71121576960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14831466 + -0.02.\nAnswer: 14831465.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**3\/24 + 101*b**2\/8 + 201*b\/8 - 1308. Suppose d(z) = 0. Calculate z.\nAnswer: -201, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6942452293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*a**2*c - a*c + 351895*a + 290*c + 21810 wrt a.\nAnswer: 98*a*c - c + 351895","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {v: 2, u: 6, e: 1, c: 3, f: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 7*q**2 - 7*q - 12. Calculate i(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 3:07 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*g*w**4 - 4*g - 8*w wrt w?\nAnswer: 816*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06986 - -0.069852158. Round w to 7 dps.\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 93784, 375128, 844034, 1500502?\n\"Answer: 93781*b**2 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and 1*(0 - 82\/18).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4217 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 8*j**2 + 6. What is u(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 - -15.8. Let c = 19.0104 - m. Round c to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 51624 = 4*r, -50*r - 3*z - 25812 = -52*r. Let f = -8805 + r. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + k = -24, 3*k + 16 = -4*r + 56. Let a be (-260)\/60*(1 - r). Suppose 3*n = -a + 245. What is the remainder when n is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 3\/11 (b) 2 (c) 1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91289 and 8685.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 27183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 1 - 5*n + 4*n - 1 to the form a + z*n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((4\/(-10))\/(136\/(-1020)))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10226162 - 36?\nAnswer: 10226124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 6*n - 8. Calculate t(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -29, 1.\nAnswer: -29, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4615, -4613, -4611, -4609?\n\"Answer: 2*h - 4617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -548.972185 to one decimal place.\nAnswer: -549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 6*i - 167 + 193.\nAnswer: 2*i + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h + 5624638 - 2812320 - 2812318.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 18*y**2 + 81*y.\nAnswer: -3*y*(y - 3)*(y + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 3*m**4\/4 + 31*m**3\/3 + 6*m**2 + 23*m + 62. Let r be x(-10). Solve 15 = 6*n - r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 + z - 3. Let i be c(1). Let p(l) = -16*l - 7. Let q(b) = 11*b + 5. Give i*p(u) - 7*q(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 3, 52, -2, -42 in ascending order.\nAnswer: -45, -42, -2, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 851 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -23*d**2 - d - 4. Let a(v) = 23*v**2 + 3. Give -4*a(r) - 3*q(r).\nAnswer: -23*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -2*j + 4*j + 2, -2*s = -2*j - 2. Let v = 241 + -237. Factor -4*p + s*p + p**4 + v*p.\nAnswer: p**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*g + 4*g - 1074, -4*g = 3*x - 4281. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 9*p - 2*p)*(4*p**3 - 3*p**3 - 2*p**3).\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16739 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 49. Give o(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -109509056.\nAnswer: -109509061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/6, -3\/10, 4 in descending order.\nAnswer: 4, 1\/6, -3\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 10*k**2 - 3*k - 2. Let d(z) = z**2 + z - 1. Let j(b) = -2*d(b) + y(b). Calculate j(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12964672, 25929348, 38894024?\nAnswer: 51858700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 + h. Let r be o(-1). Let l be (4\/10)\/(1\/r). Suppose b + 26 = l*b. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 163233 and 7773.\nAnswer: 163233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-3) - 888\/(-612). Let -2\/17*p + 4\/17*p**2 - 4\/17 + n*p**3 = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(17\/2)\/p**(-11) assuming p is positive.\nAnswer: p**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143244 (base 5) to base 13.\nAnswer: 9b52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -43, -84, -147, -238, -363?\n\"Answer: -l**3 - 2*l**2 - 12*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7138\/11 or 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/9 - 8762*a**3\/9 - 6710927*a**2\/3 - 4116475220*a\/9 - 220721436100\/9 = 0. What is a?\nAnswer: -4271, -110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 9*b - 10. Let z be j(10). Suppose 0 = -z*u + 3*u. Let d(o) = 3*o + 2 - 2 + u*o. Let c(s) = -2*s. Determine d(c(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334951.\nAnswer: 73, 18287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiiz when four letters picked without replacement from izabg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1544 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -10 (b) -3116 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3951 + 10)*(-144)\/21. What are the prime factors of (-1 - 2) + 6 + h\/16?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.616 - 7306624.46.\nAnswer: -7306626.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*j + 839, 5*j - 849 = j - 5*v. Let p = j + -120. Calculate the remainder when p is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*147\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3983 - -4017 - 398\/11.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 19, p: 1}. What is prob of picking 1 p and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226109001 by -3.\nAnswer: 75369667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - k + 4*k = -21, 2 = 2*k. Let i be (30\/(-20))\/(2\/h). Round i to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4747 or 0?\nAnswer: -3\/4747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2*46*2\/48. Let h = 167\/21 - c. Put -0.4, -3, -6\/5, h in ascending order.\nAnswer: -3, -6\/5, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1672526 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.702671 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74058703 is divided by 1557?\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102609, 102604, 102599, 102594?\nAnswer: 102589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3, -3*k - w - 3*w + 104 = 0. Suppose 0*s = -4*s + k. Let n = -7 + s. Solve 0*i = i - n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 0*i**6 + 2\/21*i**7 - 23*i - 1\/3*i**3 + 17\/2*i**2 + 0*i**5 - 7\/6*i**4 + 0. Find the second derivative of u(m) wrt m.\nAnswer: 80*m**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)\/(u*u\/(u*u**(-1\/19)\/u*u*u*u)*u*u))**(2\/3) assuming u is positive.\nAnswer: u**(-382\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.713657 centuries in millennia?\nAnswer: 0.9713657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 9. Let b be a(9). Suppose -4*q + 4*o + 36 = b, -2*o = q + 3*q - 48. Let u = q + -8. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -681629, -681627, -681625, -681623?\nAnswer: -681621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r = -16*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 164715688*a**2 + 773952260.\nAnswer: 329431376*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.101 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3695852 is divided by 22812?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, -1, 0.\nAnswer: -12, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*(-200)\/15. Let j be l\/(3\/(-3) - 1). Let i be (-21)\/(-35) - (-34)\/j. Solve 19 = a + i*x, 0*x - 4*x + 22 = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s = 11*s - 380. Let a be (296\/s)\/(26\/65). Calculate the highest common divisor of 555 and a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.36 + 7.44. What is the third biggest value in -11, 4, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21940335)\/(-4303) - (-2*1 - 48\/(-26)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/8 - 63\/(-120). Let m(g) = 2*g**3 + 9*g**2 + 2*g - 8. Let h be m(-4). Suppose 0*y + 4*y = -12. What is the smallest value in k, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -18.1. What is the closest to g in -0.4, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 8. Let f = q + -8. Let b = f - -10. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*r - 63. Let y = -22 + 102. What is the remainder when y is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 87*z**3 + 17 - 179 + 84*z**3 + 30*z**2 + 9*z - 168*z**3 = 0.\nAnswer: -9, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.034121, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4 + 15*p**2 - 9*p + 2*p - 8*p + 10 - 579*p**3 + 578*p**3. What is n(14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7382 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -6*g - 144 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5815 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1254814\/3 - 418269. Factor 0 - 4*h**2 - 1\/3*h**4 - n*h**3 + 0*h.\nAnswer: -h**2*(h + 3)*(h + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2107495947.\nAnswer: 3, 1187, 591827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -0.2, -3\/4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 16*c - 422 + 418 + 2*c - 4*c. What is the units digit of k(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llcaacrlraa. What is prob of sequence cl?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6964 divided by 31\nAnswer: 6964\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + q + 38 = 0, 2053*q - 2056*q + 12 = 3*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 224?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 1055.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 29*s + 23. Let u(c) = -c**2 - 14*c - 11. Let p(y) = 9*u(y) + 4*w(y). What are the prime factors of p(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 2691*w**2 - w**3 + 3*w + 2691*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3\/2 + 9\/2*g**2 = 0 for g.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*j**2)*(0*j + 0*j - 2*j) - 2*j + 2*j - 2*j**3 + (-10*j + 14*j + 7*j)*(0*j**2 + 0*j**2 + 2*j**2).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 9*d**2 + 81*d + 118. Give a(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -2\/5 (c) 0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -408 - -17961\/44. Is 0 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, n: 2, j: 1, v: 1}. Give prob of sequence ngnv.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4\/k)**(-23))**22\/(k**(1\/4)*k**(-1\/18))**49 assuming k is positive.\nAnswer: k**(-54991\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 45 = 4*y - 3*y - 3*f + 19, -y + 3*f = 19 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 184 + -71494?\nAnswer: -71310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 + 9*m**2 + 4*m - 4*m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 25018526 divided by -214\nAnswer: -116909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -1*(1 + -1). Suppose z*q - 2*w + 15800 = 0, -w - 2*w + 7898 = -q. Let o = 142261\/18 + q. Calculate the common denominator of o and 87\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 33. Let i be (14\/8 + -3)*p. Let y = i - 9. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871307223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 327, 340, 351, 360, 367?\n\"Answer: -a**2 + 16*a + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 39 = 2*s. Suppose -c + 3*r = s - 5, -4*r + 27 = c. Let v = c - -11. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 4:55 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + h + 2 = -30*d, -4*d + 5*h - 62 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 19 = -7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (13 + (-1 - (1 + 10))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5526, 11047, 16568, 22089, 27610, 33131?\nAnswer: 38652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -a - 787 + 789, 5*a + 5*j = 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulluuumnullosls. What is prob of picking 2 u, 1 l, and 1 o?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.7, -0.02 in increasing order.\nAnswer: -1, -0.02, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-18) + (-273)\/630?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/23 and (-5 - 118\/4) + -4 + 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.6 + -50.6. Let i = -3 + h. Let n = i - -49. Put -2, n, 0.2 in ascending order.\nAnswer: -2, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395, -912, -1549, -2306?\nAnswer: -3183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -243453*p. Let w(d) = -d**2. Calculate w(k(b)).\nAnswer: -59269363209*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14953 and 5.\nAnswer: -74765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 25.2. Let q = x + -3.8. Let a = -2.2 + 2.7. What is the smallest value in q, -9\/7, a?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {e: 3, i: 1, l: 5, n: 3, b: 6}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2 - 16*b - 336 = 0?\nAnswer: -12, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 115638521641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = -3*m, -2*m - 1 + 9 = -3*n. Suppose -m*w + 2*w = -6. Let c(d) = -d**2 + 1. Let t(j) = 2*j**2 + j - 1. Give w*c(s) + t(s).\nAnswer: -s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - (-5 + 1)\/(-2). Let f = -18 - -17. Let u = c + f. Solve -2*z - 35 = 5*n, u = -0*n - n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4311 + -0.8311. Which is the third biggest value? (a) -244 (b) 2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + 106 + (11 + -4 + -8 - -15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 + 2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4*y = -27, -45*y + 45 = -5*n - 42*y for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54 and -0.055.\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -331 + 331. Which is the fourth biggest value? (a) 1\/4 (b) 18 (c) 4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13616159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 10*f + 12. Suppose 40*j - 39*j = -2. Let v(l) = -2*l - 4. Let t(b) = -5*b - 9. Let r(c) = -3*t(c) + 7*v(c). What is j*u(y) - 22*r(y)?\nAnswer: 2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3696, -42, 10976, 29364, 55128?\n\"Answer: j**3 + 3676*j**2 - 7381*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5421 and 9549717?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:11 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/33)\/(u\/(u\/((u\/(u\/((u*(u*u**4)\/u)\/u)))\/u))))**(-2\/7)*(u**(-6\/5)\/u**(-2))**(6\/5) assuming u is positive.\nAnswer: u**(10594\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(((c*c**(-4))\/c)\/c))\/c)\/c)\/c**(-3\/8)*(c**(1\/4))**(1\/11) assuming c is positive.\nAnswer: c**(387\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 + 6*j + 3. Let q(f) = -f**2 + 3*f - 2. Let o be q(4). Let p(x) = -9*x**2 + 17*x + 8. Let v(a) = o*p(a) + 17*k(a). Differentiate v(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1655.77 - 1672.5277. What is g rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 2*c**7\/21 + 2*c**3 - 13*c. Find the second derivative of v(n) wrt n.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29135360 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 513*m**2 - 6. Let c be t(-5). Suppose -c = -v + 44181. What is v rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7725334 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299076.\nAnswer: 2, 3, 24923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbnbnbnbjttbnjnbtnj. What is prob of picking 2 b, 1 t, and 1 n?\nAnswer: 63\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120951 is divided by 259?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415451 is divided by 603.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2*m)**(-10\/11)*(m**(-1\/10))**(-3\/7))**(-1\/24) assuming m is positive.\nAnswer: m**(689\/6160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -204, -206, -208, -210, -212?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 124*p - 2*p**2 - 2 - 127*p + (p - p + 2*p)*(2*p + 0 + 0).\nAnswer: 2*p**2 - 3*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.045 + 5.645. Let y = 5 - n. Let m = -3.4 + y. Sort 1, -2\/7, m.\nAnswer: m, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 47*k - 51*k = 8, 0 = k + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 0*v + 10, 5*x = 3*v + 24. Suppose 5*h - 6 = -4*c, -h - x = -3*c + 2*c. Let f = -3 + c. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-164*d + 325*d - 159*d - 35 - 2*d**2)*(0 + 3 - 1) - 2*d**2 - d + d to h*d + r + m*d**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*f**4 - 113.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(4 - 5 + 3)*((-u - 2*u + u)*(3 - 4 + 0) + 6672 - 36*u - 6672).\nAnswer: -68*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23706 + -22781.62. Round q to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6687.675ng?\nAnswer: 0.000000000006687675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -171930 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxbxxxxxxbbbxxxxbxxx?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52297389 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11*d + 4. Suppose -2*i + 8 = -4. Let z be g(i). Calculate the highest common divisor of z and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 29*q**2 - 16*q - 46. Is a(-13) a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82952 is divided by 20734?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 4*t + 7. Suppose -4*o + 40 = -4*c, -4*c + 3*c - 3*o + 10 = 0. Let d be c\/(5\/(0 + -5)). Let a be n(d). Sort a, 0, -4.\nAnswer: -4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158.06 + -158. What is the closest to c in 5, -2\/5, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6941 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/22, -1, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**3*y - t**3 - t**2*y + 177*y wrt t.\nAnswer: -3*t**2*y - 3*t**2 - 2*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*g + (1 - 1 + g)*(2 - 2 - 2) + 4*g - 2*g - 3*g + 0*g + 3*g - 2*g - 3*g + 2*g + 2*g + 3*g + 2*g - 3*g)*(4 - 1 + 1).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7*f - 10 = 0. Find the third derivative of 49*a**5 - 49*a**5 + 2*a**6 - 2*a**f wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**41*g**42*g*g**8*g**(5\/8) assuming g is positive.\nAnswer: g**(93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -2*q**3\/21 + 12*q**2\/7 - 22*q\/7 + 280. Solve m(i) = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 19*a**5\/10 - 17*a**4\/6 - 2*a**3\/3 - 4*a. Let i(o) = 0. What is o?\nAnswer: -2\/19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242 and 729216785.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + 0*s)*(-2*s + 2*s + 2*s)*(3*s**2 - 3*s**2 + 3*s**3).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11035545 (base 8) to base 15\nAnswer: 31d851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2947 or 35347\/12?\nAnswer: 35347\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 952*l**2 + 6*l - 4. Let r be k(1). Let v be (-15 + 3)\/(-3) - r\/238. Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 5*x - 15. What is u(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8499058031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23629635?\nAnswer: 3, 5, 19, 29, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, m: 1, n: 3, x: 2}. What is prob of sequence mxin?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 + 121*m - 28085\/6.\nAnswer: -(m - 685)*(m - 41)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggllfgoofgffyfolr. Give prob of sequence oo.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1854*y + 2. Let z(t) = 2076*t. Calculate j(z(h)).\nAnswer: -3848904*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -49*d**3 - 2*d**2 - d - 1. List the prime factors of r(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58164.48l in millilitres?\nAnswer: 58164480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.93953 - 0.03953. What is the third smallest value in h, 0.4, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Suppose r = -4*c - 2 + 10. Differentiate 2*n**2 - c*n**2 - 2*n**2 - 1 + 0 with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-6)*a)\/a*a*a**(-1\/3)*a*a*a*a assuming a is positive.\nAnswer: a**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42118 is divided by 62?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 = 3*x - 537. Solve -v + 9 = 4*u, 0*v = 2*v - x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.464079 rounded to 2 dps?\nAnswer: -25.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 x when four letters picked without replacement from exxxxxkeeekxkkx.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990 and 4680.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1523755720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10321 - -11244. Calculate the greatest common divisor of g and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4063, 8136, 12229, 16348, 20499, 24688, 28921?\nAnswer: 33204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxuk when four letters picked without replacement from {k: 3, x: 5, u: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 352083299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**3 + 115*i**2 - 2*i + 51. Let r be b(23). Solve -185*w + 5*a - 11 = -186*w, 5*a = -5*w - r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 + 292. Let o = x - 64. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2026320.9 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.15, 1.2, 0.5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - (-5 - (-8 + 8))) - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*x**6 - 16*x**3 + 59*x**2 - 8?\nAnswer: 6240*x**3 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6805 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -3, -2, 3, 2, -64 in decreasing order.\nAnswer: 34, 3, 2, -2, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 4*l**3 + 7*l**3 - 3*l - 2 + 2 to the form x*l**2 + h*l**3 + m + g*l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -22 + 8 - 15*o + 12 + 8. Is x(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 3 + 1 - 11*j.\nAnswer: -19*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/60 - c**4\/3 + 7*c**3\/3 - 4*c**2. What is the remainder when 19 is divided by w(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 11:57 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*r - 4*r - 18488 = 0, -5*y - 4*r = -18498. Let c = y - 2299. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 + -146. Let f = s + 478. What are the prime factors of f?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w*w*w*w*w\/(w*w\/(w*(w**(-2\/13)\/w)\/w)))**3\/((w**(-1\/3))**(-40))**9 assuming w is positive.\nAnswer: w**(-1527\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 5) in base 3?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16600328939 and -0.28.\nAnswer: 16600328938.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 165 + 47283?\nAnswer: 47458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 341, 1438 in decreasing order.\nAnswer: 1438, 341, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 2*s**3 - 2*s**3 + s**2 - s**3 - s**2 + (s + 5*s - 3*s)*(40*s**2 + 9*s**2 + 7*s**2).\nAnswer: 165*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3*w - w)*(0*w - w + 2*w)*(2*w + 3 - 3).\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42 + -130983?\nAnswer: -130941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(26)\/sqrt(2) + -2)*-4)**2.\nAnswer: -256*sqrt(13) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/153 in 1\/13, -0.08, -6\/31, 0.5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 65*z**2 + 127185*z - 90100125. Let c(a) = -7*a**2 - 14132*a + 10011125. Let f(t) = 55*c(t) + 6*d(t). Solve f(x) = 0 for x.\nAnswer: 1415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*(-308)\/2310?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1897*254.\nAnswer: -48.1838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**3 - 67. Let y(u) = u + 2. Give d(y(f)).\nAnswer: 3*f**2 + 12*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.161 * 0.14\nAnswer: 0.02254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/15 - (-6)\/(-15). Let h = u + 9. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**9\/60480 - j**8\/26880 + j**7\/10080 + j**6\/2880 + j**4\/4 - j. Let g(h) be the third derivative of a(h). Factor g(b).\nAnswer: -b*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 1 - 25. Let s be (v\/2)\/(0 - -1). Suppose -2*j = -z - 6 - 0, -z + 24 = s*j. Solve z*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.636 + -0.364. Let w be -1 - 5\/17*-3. What is the third biggest value in w, -1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-72)*5*3*11\/(-5). Let r(o) be the second derivative of w*o**4 + 25*o**2 + 1\/10*o**5 + 35\/3*o**3 - 30*o + 0. Factor r(p).\nAnswer: 2*(p + 1)*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -22881307\nAnswer: -160169149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 4*d + d + 41 - 79, -2*n - 37 = -5*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5482 - 14*r - 16453 + 5482 - 13*r + 5489.\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22232 (base 6) to base 9.\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by 7\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 329\/15 - 67\/3. Which is bigger: 0.153 or m?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 699204.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 3*a**2 + 3*a + 2. Let s be u(-3). Let c be 1\/s + (-1272)\/(-84). Suppose -22*d = -c*d - 63. Which is smaller: d or 39\/5?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2235*q**2 - 2*q + 192.\nAnswer: 4470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*n - 5 = 0, -3*n + 10 = -5*n. Let g(b) = -9*b**3 + b. Let m be g(1). Let y be 2\/m - 3\/(-12). Solve k - 22 = -5*z, 3*z + y - 4 = j*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 370*a + 617*a + 499*a + 86*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = g + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1315143 + 21?\nAnswer: 1315204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 69914?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 + 3447*s**2\/2 - 412232*s + 3187296.\nAnswer: (s - 217)*(s - 8)*(s + 3672)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*x = 0. Suppose -j - 4*j = x. Solve 5*g - 10 = -j*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/12)\/(2\/(-3)). Sort 4, v, 2\/3 in descending order.\nAnswer: 4, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*m**5 - 36*m**2 wrt m?\nAnswer: 8160*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 1. Let l(v) = -2*v + 1. Let o(j) = j**3 - 3*j**2 - 13*j + 33. Let p be o(5). Suppose p*n - 9*n - 54 = 0. Determine n*z(d) - 4*l(d).\nAnswer: -4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32 + 1.49. Let d = h - 0.87. What is the smallest value in d, 0, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471267 is divided by 367813?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 18287. Let l be b(0). Let w(g) = 1008*g**3 + 2*g**2 - 5*g - 4. Let o be w(-3). Let x = l + o. Round x to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 802976.4 kilometers?\nAnswer: 80297640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21c + 0?\nAnswer: 21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672472876.\nAnswer: 2, 17, 9889307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + (-3 - 4) - (18 + -14)) + 12\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21942 and 4?\nAnswer: 43884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/462*(-72)\/(-63).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -15*f**2 - 178. Let s(b) = -8*b**2 - 90. Let g(x) = -4*c(x) + 7*s(x). Differentiate g(i) with respect to i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 11:22 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15191811.\nAnswer: 3, 19, 73, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*q - 6*q - 19 = 0, -6 = -2*q. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, l: 2}. Give prob of sequence lfl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 19*u**2 + 6*u + 7. Let o = -88 + 125. Calculate the remainder when o is divided by x(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*4\/144*24\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0.2775.\nAnswer: -1.2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**2 + 13*f - 4. Let u(s) = 10*s**2 - 25*s + 7. Let k(m) = -7*g(m) - 4*u(m). Let r be k(-5). Solve 8*n - 9*n = r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -63, -99, -135, -171?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x. Let z(f) = 2*f**2 - 120326*f. Calculate z(p(o)).\nAnswer: 128*o**2 + 962608*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/161762 and 33\/19523.\nAnswer: 1132334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266761079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1083 + -1085. Put 0, z, -6, -4, 1 in increasing order.\nAnswer: -6, -4, z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 246.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*g**4 - 23464 + 23464 + 120*g + 3*g**5 wrt g?\nAnswer: 60*g**3 - 144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 76. Suppose -9*n = -z*n. Which is the nearest to n? (a) 0.16 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7799 divided by 7799\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -125*b**6\/3 + 28*b**3\/3 + 2*b - 220. What is the third derivative of o(g) wrt g?\nAnswer: -15000*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -505*w**4 - 13*w**3 - 56*w**2 + 4514917 wrt w?\nAnswer: -2020*w**3 - 39*w**2 - 112*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3972409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -767965268*q**4 - 344554752*q**2?\nAnswer: -18431166432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-4180))\/(5\/20)*(-122)\/61.\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4396072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/sqrt(4) + ((-1 + sqrt(2) + sqrt(2))*-5 + sqrt(2) - sqrt(2)) + sqrt(16)\/(-4*(sqrt(32) - sqrt(8))).\nAnswer: -29*sqrt(2)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 912 - 737. Suppose j = -31*u + 516. What is the remainder when 65 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllwwlwlwwllwwllwwww.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 + c**3 + 8*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119209689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1141 - 443*v**2 - 1141 as r*v**2 + n + j*v and give r.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6524 - 6514. Which is the closest to g? (a) 4 (b) 1\/4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -17, -18, -2, 73 in increasing order.\nAnswer: -18, -17, -14, -4, -2, 73","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.2 - 33.1. What is the biggest value in 0.5, k, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 9 = -4*a. Let c be (-4)\/a*(-6)\/4. Let q be c*6\/9*-6. Let y(n) = n**2 + 5*n - 1. Give y(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {n: 1, r: 1, m: 4, f: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124 - -499\/4. Let x = -2.27 - -1.27. What is the biggest value in h, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5913 * -0.5\nAnswer: 0.29565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 4*s + 5. Let k be w(4). What is the units digit of ((-2)\/(-6))\/((-9)\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 4*g**2 + 6*g + 7. Let j be u(-3). Let q = -23 + 24. What is the nearest to 0.2 in q, j, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.2. Let g = z - -0.2. Let b = -0.5 + 0.3. Is b not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1576935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + (sqrt(171) - -4*(0 + sqrt(171))) + sqrt(171) + 0 + 2 + sqrt(171) + sqrt(171) + -4)*5*5)**2.\nAnswer: -2160000*sqrt(19) + 246330000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 183*x - 186*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - 5*(sqrt(2) + (sqrt(2) + -2)**2) - sqrt(54)\/sqrt(3)) + 0 + (6*-5*sqrt(32))**2.\nAnswer: 13*sqrt(2) + 28770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + j**2 + 2. Let b be r(0). Suppose -5*v + b*x + 2*x + 393 = 0, -2*x - 4 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82251416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -16063691 less than -16063692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -45798 - 22254?\nAnswer: -68052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 - 4*m + 1. Let s(y) = 2*y**3 + 5*y**2 - 3*y. Give -c(b) + s(b).\nAnswer: 2*b**3 + 2*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -20, -47, -94, -167, -272, -415, -602?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 9) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 555783072?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16420924, -32841846, -49262768, -65683690, -82104612, -98525534?\nAnswer: -114946456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 133\/119 + (-4)\/34. Solve -31 - s = -8*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1, -3498, 4\/9, -2?\nAnswer: -3498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1092 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70, -62, -40, 2, 70, 170, 308?\n\"Answer: u**3 + u**2 - 2*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**4 + 0*g**4 - g**2 + 3*g**4 + (-g**4 + 4*g**4 - g**4)*(-7 + 4 - 5).\nAnswer: -17*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16317 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n - 3 - 2*n**2 - 2*n**2 + 3 - 4 - 5*n**3. Let g(m) = -m**3 - m**2 - m - 1. Let l = 11 - 7. Let t = l - 8. Calculate t*g(a) + d(a).\nAnswer: -a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*-2877.\nAnswer: -172620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -1492, -5291, -12706, -24943, -43208, -68707, -102646?\nAnswer: -146231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3+-1316228\nAnswer: -1316231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 16*m**2 - 10*m + 70. What is b(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1 (c) 3 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1029\/882*(0 + 1446). Is 1686 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -79\/4. Let d = 124 + -107. Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 greater than -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1395*s - 1 = 1386*s - 2*a, -4*a = -2*s + 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/14)\/(1\/2). Suppose -50 = -t - k. Let f = t + 1356. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/6739 - 585885\/458252. Find the common denominator of m and 51\/106.\nAnswer: 3604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 3*l + 6. Let i be c(2). Suppose 4*d - 2*a - 20 = d, 5*d - a = 38. Suppose -12 = d*u - i*u. Let g(t) = t - 4. Calculate g(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-10) + 969\/15 is divided by 6\/(2*-27) - 7238\/(-423)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (246\/(-1148))\/(((-5)\/10)\/(2 + 1))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -942 + 42 = 9*n. Let k be (40\/n)\/((-2)\/90). Solve -13*v - 25 = -k*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 746*h**3*p**2 - 348*h**3*p + 2*h**3 - 193415*h**2*p**2 + h**2*p - 89*h*p + 189*p wrt p.\nAnswer: 1492*h**3 - 386830*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 10:19 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.3089 - 0.0089. Let j = k - 80.4. Round j to zero decimal places.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omwhmhwwwpsowomww. Give prob of sequence mh.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 103*b + 7 + 6 + (3 - 3 + 4)*(1 - 1 - b) to k*b + o and give k.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(24)\/(-2*sqrt(2)))\/(1*sqrt(6)*3) + 5 + sqrt(8)\/(sqrt(64)*-3 + sqrt(64)).\nAnswer: 3*sqrt(2)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1858199 - -12?\nAnswer: -1858187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 + -128.05. Let b = h - -0.05. Let o = 15.14 - 14.24. What is the nearest to -1 in 0.3, o, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7120 + -192169\/27. Find the common denominator of k and -58\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8556070383 rounded to 2 decimal places?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5354 (base 12) to base 10\nAnswer: 9136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8 + 0 = -2*v, 0 = 2*x - 4*v. Suppose x*k = 8*k - 8. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273959167247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-620)\/(-60))\/((-231)\/(-28350)). Which is greater: 1267 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -2 (c) 3\/4 (d) 2.521 (e) 3 (f) -1 (g) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624557 is divided by 959.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8082966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 - 5*(-22)\/(-10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357552.\nAnswer: 2, 3, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -17441*k + 2477. Is i(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 - 6*z**2 + 6*z - 12. Let d(t) = -t**3 + 7*t**2 - 5*t + 11. Let c(f) = -3*d(f) - 2*l(f). Give c(-9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -5, 2\/7, -0.4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2. Let l be y(1). Suppose 5 = 2*f - l. What is the first derivative of 2*n**4 - 2*n**3 + 2*n**f + 1 wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2971021?\nAnswer: 29, 53, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*v - 2877 = -308*v + 2102 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31378138 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 152266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 80.132 times 882\nAnswer: 70676.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t - 16. Let d be q(4). Suppose d = 5*g + 4*f + f, -16 = -4*g + 4*f. Solve -g*p - 14 = -4*h, -2*p + 0*h - 9 = h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2365 is divided by 2102?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130021104 (base 7) in base 12?\nAnswer: 2914a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + k**2 - k - 1. Let t be a(0). Let m = 0.214 + 54.686. Let n = -50.9 + m. What is the nearest to -0.1 in t, n, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10607 - 232 - (-7)\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 30 = -2*c, -3*b + 423*c = 196*c + 347*c + 570 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/904, -3\/8, -0.6.\nAnswer: -0.6, -3\/8, -33\/904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 360?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 691779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2480\/3103 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9) - 26\/(-18)*39. Let n be (1*2\/(-8))\/((-28)\/a). Find p, given that 36\/5*p**2 - 39\/10*p + n + 8\/5*p**3 = 0.\nAnswer: -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*q - 43942, 7 = 5*x + 2. What are the prime factors of q?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1280)*-1)\/sqrt(4) + (sqrt(5) - (0 + sqrt(5))*6 - sqrt(320)*-2)**2.\nAnswer: -16*sqrt(5) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20465, -20456, -20447?\n\"Answer: 9*q - 20474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d4 (base 15) in base 11?\nAnswer: -1189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10011101010010 (base 2) to base 10\nAnswer: 10066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffffvfffffv. What is prob of sequence ff?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1329 divide 49173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8 and 5\/20 + 105\/(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851865153 to the power of 1\/2, to the nearest integer?\nAnswer: 53403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*w)*(-2*w + 2 - 2) + 7*w**2 - 30 + 30 - 2*w**2 - 50*w + 50*w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/4, 0.1, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 67 - 22 = -3*l - 2*f, 5*l + 5*f - 115 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 60. Let g be k(-19). Let r(q) = -q**3 - 10*q**2 + 12*q + 23. Let d be r(-11). Solve 2*m - 2*s = -g*s - d, 2*m + 4 = s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 2, e: 1, r: 2, x: 1}. What is prob of sequence rr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4331 (base 7) to base 5.\nAnswer: 22131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -1\/4 (c) -9 (d) 3 (e) -122\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-13)\/((o\/(o*o\/(o*o**15)))\/o)*(o\/(o\/o**(1\/4)))\/(o*o**1) assuming o is positive.\nAnswer: o**(-115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1 + (1 + 3 - 5)*(0 + 4 - 2) + 5 - 4 + 0 - 3 + 2 - 3)*(-126 - 19 + 4)*(0 + 0 - 2*t) + 4*t - 2*t - 3*t to the form n*t + j and give n.\nAnswer: -1975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -520 - -1070. Calculate the highest common factor of w and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3*w - 208. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + x + 37 = 0, -3*v - x - 87 + 120 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = f + 17, 14 = -f - f + 4*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(40\/150) + -1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9859d + 3?\nAnswer: -9859a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687685.\nAnswer: 5, 137537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-3)\/4)*29\/(-145). Let f = -5 + 3. Which is the third smallest value? (a) g (b) -1\/14 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 4:15 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 4. Let q be t(4). Let s be -2 - (50\/q)\/(-5). Put 3, s, -3 in increasing order.\nAnswer: -3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) -1 (c) 4\/3 (d) -3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**3 + 5*a**2 - 5*a - 6. Let l(q) = -3*q**2 - q**3 + 2*q**2 - q - 1 + 2*q**2. Let m be 4 - (0 - (-3 - -5)). Calculate m*l(x) - t(x).\nAnswer: -x**3 + x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35547 is divided by 593.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 2*n**2 - 2*n - 1. Let w be k(-3). Let f(h) be the first derivative of h**3\/3 + 3*h**2 + 4*h - 1. Calculate f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 51*b**2 - 17*b - 620. What are the prime factors of r(33)?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -0.4, -4.\nAnswer: -4, -0.4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -95*t**7 - 2*t**3\/3 + 29*t**2\/2 - 1145. What is the third derivative of d(i) wrt i?\nAnswer: -79800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-52))\/(10\/(-56))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8517770 >= 8517766?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1856559959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145092\/19 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = 6*q - 2806. Suppose 18*p - q = 1210. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-785852\nAnswer: 392926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:37 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -109*u**3 + u. Determine r(-1).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89100 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: Divide -13635 by -135.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/22 + (-988)\/3762. Which is the third biggest value? (a) 3 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b - 51. Let w be -2 + 7\/((-28)\/(-96)). Let q be k(w). What is the greatest common divisor of q and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}