diff --git "a/data/dm_maths/full_data_1/2436_11255.jsonl" "b/data/dm_maths/full_data_1/2436_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2436_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j = -4696 - -4700. Solve -j*t = -r + 13, -2*t + 11 = 4*r - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 229*f + 92*f + 2247 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*d + 156*d = 927 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 539*i + 481*i - 350*i.\nAnswer: 670*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 75\/15 + (-231)\/45. What is the closest to 34 in a, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**4 - 11786*g**3 + 461670*g**2.\nAnswer: 96*g - 70716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5849\/38 or -153?\nAnswer: -5849\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 + 0*t**2 - 2*t**2)*(-4*t + 2*t - 4*t).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -128 (b) 2 (c) -0.2 (d) -3 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((396\/11)\/9)\/((-8)\/42)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176122 is divided by 7404?\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 + 103 = 5*b. Let k = b - 38. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 7. Let d(p) be the third derivative of -p**4\/24 - p**3\/2 + 2*p**2. Let q be 2 + 5 + 6\/(-2). What is q*g(c) - 9*d(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297.2728kg to grams.\nAnswer: 297272.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153*x**3 + 805 - x - 805)*(-41*x - 209 + 209).\nAnswer: 6273*x**4 + 41*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + -69. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(-1) + (-6 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 99, 137, 173, 207?\n\"Answer: -z**2 + 41*z + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4993160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-126)*(-90)\/260*32\/(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/4*v - 39\/2*v**2 + 0.\nAnswer: -3*v*(26*v - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*s - 96 = 0, x - 2*s = -0*x + 24. Let d = 10 - 1. Calculate the remainder when x is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -10*v**2. Let y(z) = 7084990*z. Determine h(y(u)).\nAnswer: -501970833001000*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -624*k**3 + 3*k - 498. Let d(n) = -626*n**3 + 4*n - 499. Let c(s) = 3*d(s) - 4*f(s). Differentiate c(r) with respect to r.\nAnswer: 1854*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 189*l**3\/2 - 64633*l**2\/3 + 42143*l\/2 + 1135\/3 = 0. What is l?\nAnswer: -10\/567, 1, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23155069591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 972?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -131*r**3 + 5*r**2 - 2*r - 6. Let k(u) = -656*u**3 + 26*u**2 - 10*u - 32. Give -16*i(v) + 3*k(v).\nAnswer: 128*v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -243*l - 986 + 986 to n + d*l and give d.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -37 - (-3 + 2 + -8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 11) to base 16.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + 21 - 40.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjhffjjjjfjfkjjjkjk. What is prob of picking 3 f and 1 h?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7874940?\nAnswer: 2, 3, 5, 131249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227367 + -73208. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 30. Let j be a(14). Suppose -2*l + l = -2. Solve -c - 2 = -s - j*s, -l*s = c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 69409, 69431, 69451, 69469, 69485, 69499, 69511?\n\"Answer: -r**2 + 25*r + 69385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1430371 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 3*a - 5. What is c(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, -14, -360, -712, -1070?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1036.7 - 1095. Let y = -58 - w. Let h = 3.9 - -30.1. Which is the second smallest value? (a) 3 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12080, -12086, -12092, -12098, -12104, -12110?\n\"Answer: -6*g - 12074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3048*q**2 - 3098*q + 3098*q in the form m + a*q**2 + k*q and give a.\nAnswer: 3048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5171a - 307?\nAnswer: -51a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/6 - 5*u**3\/2 - u - 161. Let z(t) = 16*t. What is z(c(y))?\nAnswer: 32*y**2 - 240*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.01 and 0.027 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 0*a - a**2 - 10*a**2 - 8*a + 2*a**2 - 49*a. Let z(p) = p. Calculate u(z(b)).\nAnswer: -9*b**2 - 57*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 1:06 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4395 = -3*q - 0*q. Let s = q - 2448. Let y be (-38)\/190 - s*(-3)\/5. Round y to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 31 + -12 + 1 - (-2 + 23).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18626.1 + 18626. What is the smallest value in 0.4, -3, -29, k?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28510991.\nAnswer: 28510991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11879 by -6.\nAnswer: -11879\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8171 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 702199.8 minutes in milliseconds?\nAnswer: 42131988000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - 7. Let g = d + 58. Solve -5*v + n = -6, 0*v - g*n = 5*v - 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b**2)\/(b**(-1\/4))**9)**46 assuming b is positive.\nAnswer: b**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and -28.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/4))\/d)**(1\/32)\/(d*d**1\/d)**(-1\/5) assuming d is positive.\nAnswer: d**(123\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 8726965660?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16*-5*(-1)\/(-4). Let i(a) = 2*a - 3*a - 2*a**3 + 3*a**3 + 21*a**2 - 17*a**2. Let s be i(3). What is the highest common divisor of x and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 316, 539, 850?\nAnswer: 1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 554109669 to the nearest integer?\nAnswer: 23540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/50 + 0)\/(279\/1395). Which is the closest to g? (a) -3 (b) 0.5 (c) -169 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**3 + 16 - 16.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = y. Sort 3, y, 125 in ascending order.\nAnswer: y, 3, 125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 9. Give x(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1408, 1406, 1404, 1402, 1400?\n\"Answer: -2*c + 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-650)\/(-104)*(-2 + 36\/15). Let u(r) be the first derivative of -f*r**2 + 1\/3*r**3 + 2 + 5*r. Give u(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -7*w**3\/6 - 15*w**2\/2 - 17*w. Differentiate c(y) wrt y.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + 2 + 6*u**3 + 3*u**3 wrt u.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 3*i + 4*i)*(-3 - 2 + 3)*(82 + 1323 + 364 + 1467).\nAnswer: 6472*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 3190 + 1592 + 1598.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t - t. Suppose 14*w - 18*w + 12884 = t. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25996 is divided by 350.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (7 - 10) - (11 + -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide ((-1)\/3)\/(7\/(-1281))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 173041458 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 4 - 4*j + 0*j. Let h be p(-3). Suppose h + 1 = k. Solve 3*v + 5*g + k = -2*v, -4*g = 5*v + 17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.03, 1\/5, 3, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 415 * -0.15.\nAnswer: -62.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 7*p + 3*p - 105 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 >= -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-1 - 1) + 4. Suppose x + 0*x = h + l, 0 = 4*h - x - 8. Suppose -h*k - n + 12 = 0, -k + 5*n = 3*k + 3. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.42 - 608.42. Let g = 601 + v. Let n be 1\/(1\/(1\/(-2))). What is the third biggest value in -1\/5, n, g, 0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -3*l - 28, 0 = 49*b - 52*b + 5*l + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 - 179*q - 161. Let u(h) = 5*h**2 - 150*h - 158. Let g(n) = -6*s(n) + 7*u(n). What is g(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 5*s - 33. What is l(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 3:28 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1050)\/280*640\/(-525)?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + z, 0*n = -n + 3*z. Suppose h + 4*h = 4*m - 40, n = 3*h + 12. Let g be 4\/(-14) + 78\/(-21). Put g, m, 1 in descending order.\nAnswer: m, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 26.1, 107.357, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d + d - 2*d)*(-2*d + d + 0*d) + 16*d**2 + d**2 + 5*d**2)*(-7 + 6 - 67*d + 57*d).\nAnswer: -210*d**3 - 21*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7\/5)\/(i*i**(-14)\/i)*i\/i**(-1\/4)*i\/(i\/i**(-2\/13)))**6 assuming i is positive.\nAnswer: i**(10683\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -182*l**2 + 4543*l + 245. What is q(25)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65900001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 983 + -987. Let d(z) = z**3 + 3*z**2 - 6*z - 2. Give d(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**3\/6 + 151*b**2\/2 + 2*b. Let n be q(0). Is (-11)\/(-44) - n\/(-4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.9 - 10.9. What is the closest to r in -4, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 2)*1\/(-3). Let a be (-1 + (-186)\/4)*s. Let p = a - -104. Is p < 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 + 4*f - 6. Is 19 a factor of r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 238*b + 10694. What is m(-45)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -371 - -374. Let x = -0.12 - 0.88. Let g = x + -2. Which is the fourth biggest value? (a) 0.2 (b) t (c) g (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6604 + 6624. Solve l - 5 = -2*p + 3, -5*l - o = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (sqrt(162) + 1)) + sqrt(162) + sqrt(162))**2 + ((sqrt(128) + sqrt(8))\/sqrt(4))**2.\nAnswer: -36*sqrt(2) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j - 5 - 5*j**2 - 1 + 3*j**2 + 3*j**2. Let h be m(9). Put -4, -5, h in decreasing order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1713*j = 1687*j + 36504. Calculate the greatest common divisor of 1092 and j.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 1. Let l(g) = g**2 - 9*g**2 - 4 - g**2. Let b(n) = l(n) + 6*v(n). Differentiate b(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78812.1 millennia to months.\nAnswer: 945745200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1207241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-5\/4))\/m*m\/(m**(1\/5)*m)*m**(-5)*m**(-2\/7))**(-46))**(2\/3) assuming m is positive.\nAnswer: m**(21689\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 5)*(177*v - 11*v + v)*(-v + v - v**2).\nAnswer: 1670*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -59*o**3 + o - 1. What is t(1)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 751 + 34*m**2 - 62*m**2 + 29*m**2 + 237 in the form a*m**2 + q + j*m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 472142?\nAnswer: -1\/236071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 11) to base 7\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2858412903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98721330 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = 4*d, 4*d + 2*y - 4 = 2*d. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 16. Suppose 1 - i = -2*h. Let g = 13 - 5. Solve 3*n - g = h*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeqqqee. Give prob of sequence eeqe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 156\/20 - 24\/(-20). Suppose -2*r - m = k, -33 = 5*r - 8*k + 7*k. Let f(h) = h**3 + 6*h**2 - 6. Calculate f(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 13*v**2\/3 - 13088*v + 6379520\/3 = 0.\nAnswer: 2240\/13, 2848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1. Let i(h) = -32*h**3 + 10. Let l be 122\/305 + 62\/(-5) + 2. Calculate l*r(u) - i(u).\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 14*u. What are the prime factors of a(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-4 + -2 + 4). Suppose 8*c + 480000 = p*c. What is c rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1411773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*d + 15 - 29 = 0, 4*d = 5*i + 40. Let p(m) = -m**3 - 4*m**2 - 2*m - 1. What is p(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -257*m**2 + 167. Let i(z) = -64*z**2 + 42. Let r(p) = -2*g(p) + 9*i(p). What is the first derivative of r(s) wrt s?\nAnswer: -124*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101122 - 11?\nAnswer: 1101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77703.\nAnswer: 3, 59, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -5*b + 1270. Suppose -3*k = 4*q - 0*k - 242, 5*q - 5*k = b. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:19 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 17*p - 33. Let k be 85*8\/40 - p*1. What is the units digit of 244\/k - (-8)\/14 - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-21) + 4\/3. Let p be -16 + (n - -1 - 0). Let x = 16 + p. Solve -2 = x*w - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2364 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2906 divided by 4569.\nAnswer: 2906\/4569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-2*3)\/(sqrt(24)\/sqrt(2)*5) - (-5*-2*sqrt(204))\/(sqrt(1728)*-1))**2.\nAnswer: 2057\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 9*z - 25. Let j(w) = 2*w**2 + 17*w - 49. Let r(x) = -11*d(x) + 6*j(x). Determine r(9).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188812 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -45*k + 31. Let f be i(4). Let c = f - -299. Suppose 2*n + 764 = 5*m, -m + n - c = -2*m. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -633916.72 to the nearest one hundred.\nAnswer: -633900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.4. Let d(q) = q**2 - 4*q + 3. Let g be d(4). Let l be (-2)\/(4 + -2)*-4. What is the biggest value in l, r, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*z + 5*i - 1, 2*z - 4*i - 14 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2\/5 + 8756*w\/5 + 17496\/5 = 0.\nAnswer: -2187, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52038410911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 4320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1350 - 1277. Let v(o) be the third derivative of 4*o**5\/15 - o**4\/24 - o**2. Calculate the remainder when q is divided by v(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 8. Let q be u(7). Let c = 994 - 994. Put c, 14, q in increasing order.\nAnswer: c, q, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*d - 14. Solve d = 2*k - 6*k - z, 0 = -3*k - 5*z + 19 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((6 - -1) + (-5 - 4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231818816 is divided by 1847.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 69074476 divided by 5141\nAnswer: 13436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24055, -21572, -17433, -11638, -4187, 4920, 15683?\nAnswer: 28102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 43007060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 divided by 143?\nAnswer: 777\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15297 (base 10) to base 13.\nAnswer: 6c69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -10. Suppose 40 + 48 = 2*o + 5*l, -2*l = g*o - 176. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10071 * 5.\nAnswer: 50355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -242.9 + 236.9. Which is the closest to -0.6? (a) 0.4 (b) 0.1 (c) 5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -162 + 128 + (15 - -18 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.11 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -172717, -345432, -518147, -690862, -863577?\n\"Answer: -172715*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + -77. List the prime factors of (-3202)\/w + (-50)\/(-225).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 12 = 16*c. Suppose 2*z + 0*z - 250 = -4*s, c*z + 5*s - 377 = 0. Does 34 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1439.203 + -1437.203. Suppose -5*j = 22 + 3. What is the nearest to -2 in o, j, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-11))\/(p\/(p\/(p\/p**(-7)*p)*p*p*p)*p))\/(p\/(p**11*p)*p**9*p) assuming p is positive.\nAnswer: p**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**2 - 14*c - 1. Calculate p(6).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2. Let l(b) = -10094*b. Determine u(l(s)).\nAnswer: -407555344*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 - 2)*(192*a - 5*a**4 + 23*a - 51*a).\nAnswer: 40*a**4 - 1312*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5500 and 1342.\nAnswer: 335500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14689, -14685, -14681, -14677, -14673?\nAnswer: -14669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 5*p**2 - 4*p - 77. Determine g(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Let j(m) = -m + 4. Let i be j(q). Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.4 - 0.4. Let q = 28 - 24. Sort i, q, -2\/33 in increasing order.\nAnswer: -2\/33, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-2) + (-84)\/(-18). What is the closest to b in 1\/2, -17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913 is divided by 656.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/(-91))\/((-4)\/14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -17 + 53. Let y be -3*(-2)\/a*-8. Solve y*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58\/3 + 173\/9. Let y(x) = x**2 + 9*x + 7. Let o be y(-7). Let p be (-33)\/o - 24\/(-84). Put g, p, 2 in increasing order.\nAnswer: g, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258533, 258530, 258525, 258518, 258509, 258498, 258485?\nAnswer: 258470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/10)\/((-12)\/1950). Suppose 3*p - 305 = o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(2\/93)*q*q)\/q*q)\/q*q**(-4))**(-49) assuming q is positive.\nAnswer: q**(9016\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 b, and 1 w when three letters picked without replacement from {t: 2, h: 6, b: 3, s: 2, w: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 507394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27 and -24120?\nAnswer: 24093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(6\/(-9))\/(4\/(-9)). Calculate the greatest common factor of s and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - -8) + 23 + 35 - -36\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykkv when four letters picked without replacement from {s: 3, e: 2, v: 2, y: 1, k: 7, u: 3}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/27)\/(4\/1 + 98\/(-21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/6882273?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003463624 to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 12*i - 17. Let z be f(10). What is q in -3\/4*q + 3\/4*q**z + 0*q**2 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -14. Suppose t = -3*n + 8*n. What is the biggest value in n, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*c + 27 = t, 0 = 5*t - 5*c - 50. Suppose 52 = -5*h + t. Let q = 11 - h. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 6.7. Suppose 0 = -0*w - 2*w - 6. What is the third biggest value in k, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.1. Suppose -p - 58 = -3*t, -3*p + 55 - 9 = 2*t. Sort 5, t, m.\nAnswer: m, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 take away 22475730?\nAnswer: -22475623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -9 - 3. Let h(w) = -w + 5. Let j be h(6). Let t be (j\/2)\/(6\/20). Which is greater: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -3. Let o(i) = -i**3 + 4*i**2 + 5*i - 5. Let w be o(5). Suppose -52 = -10*z + 8. Sort w, z, s in increasing order.\nAnswer: w, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613465698 divided by -5526718?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 65?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05856 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*5*sqrt(152) - sqrt(152)) + sqrt(152) + sqrt(152)*2*3 + sqrt(152))\/(sqrt(96)\/(5*sqrt(12)) - -4*(sqrt(48)\/sqrt(6) - sqrt(8))).\nAnswer: 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3309?\nAnswer: 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - a**2 + 0*a)*(-231 - 5*a**2 + 231) - 4*a**4 + 6*a**4 - 4*a**4 to the form d*a**3 + p*a**4 + m*a**2 + l*a + f and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 8:25 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 15*q - 9647. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*z = -6*k + 300, -2*k + 204 = -4*z. Let s be ((-1)\/(-4)*291)\/((-3)\/(-16)). Suppose 11*q - 316 = s. What is the highest common factor of q and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*r + 2*r**2 + r**2 - 2680 + 2679 - r**2 + 4*r**3 in the form g*r**2 + h*r + k + d*r**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99150572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -826875 divided by -735?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229.81l in millilitres?\nAnswer: 1229810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/290 and 45\/203.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 8 = g, -4*a - 12*g = -9*g + 24 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 21 = -4*s + 10*f, s = -f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 2, v: 1, c: 1}. Give prob of picking 1 c and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from {d: 1, e: 3, h: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a second?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002716932075 to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -184 and -7.\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 258949 or 258951?\nAnswer: 258951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/36)\/(12\/(-18))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4 - 1\/4*h**3 - 7\/4*h - 5\/4*h**2 = 0. What is h?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.944*10\nAnswer: 199.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 21373\nAnswer: -25\/21373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 17*o**2 - 15*o + 15. Let q be f(-12). Is -1*3\/(-12) + q\/(-12) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 244 + 1\/(-2)*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16342 + 16341.99980504. What is s rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18*v**2 + 113*v + 792. Determine p(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 343.88 + -360.943. Let z = 17 + o. Let u = z + 2.063. What is the second biggest value in 6, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 14*y**2 - 2*y - 14. List the prime factors of k(9).\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + 0. Let l = i - -0.6. Let z = -2.3 - l. What is the nearest to -1 in z, -4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*p + 123, 3*p - 3*s = -0*p + 162. Let g = 436 + p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f - 2. Let r be b(-5). Suppose -5*o + 2 = -r. Suppose 0 = -4*u - 0 + o. What is the highest common divisor of u and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142341224 to the power of 1\/2, to the nearest integer?\nAnswer: 11931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 9:19 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 51159, 204996, 461513, 820710?\n\"Answer: 51340*h**2 - 183*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -4745, -2?\nAnswer: -4745","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 106646867 to the power of 1\/3, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 7*r**2 - 7*r - 6. Let m be g(-6). Let o(t) = m*t + 0*t - t. Let u(z) = 3*z**2. Calculate u(o(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20002 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12488741*d - 6612 = 12488828*d for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 1, x: 1, o: 2, w: 1}. Give prob of picking 2 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 0*t)*(0 + 2*t + 0) - 41 - 20*t**2 + 17 + 23.\nAnswer: -24*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -357140, 8, 5 in increasing order.\nAnswer: -357140, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.8 + 0.2. Let l = -16 + n. Which is the third smallest value? (a) -4 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 = -1634*k + 1635*k - 18*o, -2*k + 9 = -o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17\/14 - 13\/14. Let o(v) = v**2 - 7*v + 5. Let x be o(4). Which is bigger: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -463f - -c0e?\nAnswer: -3a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkffkkztkkkzkkff. Give prob of picking 1 k, 2 z, and 1 t.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {w: 2, f: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n + 5. Let j be f(0). What is the second derivative of 124 - 4*h**4 + j*h - 124 wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*h = -83*h - 1872. Let z be 2*(-3 + h\/102). Which is smaller: z or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2728, 2596, 2498, 2434, 2404, 2408, 2446?\nAnswer: 2518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(7920\/(-90)))\/((-296)\/16)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 35 = -m - 110, 5*o = -2*m + 349. Suppose 5*d - o = -11. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66873 is divided by 11144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 40*t + 787. Determine r(-19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/27, 2, 67\/4, -0.1, -1\/4?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 610.64 - -1872900461.\nAnswer: 1872901071.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4493589, -8987178, -13480767, -17974356, -22467945, -26961534?\nAnswer: -31455123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i**3 - 8*i - 7*i + 10*i + 6*i**2 + 8 + 10*i**3. What is m(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61059 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.6 + -14.5. Let k = -3.6 - 1.1. Let y = k - z. Is 0.1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 - 1.18. Let d = 0.5 + -2.5. Let r = d + 0. Which is the second smallest value? (a) 0.01 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4302*h + 397. Is l(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136941.\nAnswer: 3, 7, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 2*x - 3. Let c be g(3). Let r = -8 + c. Let j(f) = 19*f + 1. What is the remainder when j(r) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20485917000 to the nearest 1000000.\nAnswer: 20486000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**2 + 1 - 2 + 0*c + 2*c. Let v be z(1). Suppose -n - 3 = 2, -3*x + 5*n = -67. Solve 0 = 2*r + v*o - x, 3*o - 3 + 5 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 132 = 4*u, -u - d + 5 + 28 = 0. Let g = u + -30. Suppose 4*x - 653 = -g*t, 0 = 4*x - 4*t - 249 - 439. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12102150 to the nearest 10000.\nAnswer: 12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*d + 450*d - 677328. Calculate the remainder when d is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79.39 + -1.39. Let m = -78 + a. Let j be 4*(-1)\/(-105)*7\/(-6). Put j, m, -3 in ascending order.\nAnswer: -3, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36256.46 times 0.3\nAnswer: 10876.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1049 * -0.2068.\nAnswer: -216.9332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 648\/40 - (-288)\/(-90)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/14*(-12)\/(-81)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 638 divided by 4\nAnswer: 319\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1552, -2867, -4182, -5497?\n\"Answer: -1315*f - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29585\/9 - -3282. Let w(l) = 5*l - 17. Let o be w(5). What is the common denominator of k and 2\/o + (-2761)\/660?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 2 + (3 + 3 - 3)*(3 + 4 - 5) + (-4 + 3 - 1)*(1 - 1 - 2))*(70*n + 27*n + 44*n + 84*n) to g + k*n and give k.\nAnswer: 1575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 32*t**2 - 25*t + 5. Let h(g) = -225*g**2 + 180*g - 36. Let m(d) = 36*c(d) + 5*h(d). Let l(z) = 5*z**2. Give l(m(p)).\nAnswer: 3645*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -29.8. Let v = s - 1. Which is smaller: v or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-4 - -4) - (-49100)\/1. What is i rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50233?\nAnswer: 191, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -1 (c) 0.4546 (d) 0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -287, -182, -85, 4, 85?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318455 - 25437 = -10332*i - 99598 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438\/15 - (-3)\/(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3994, -31907, -107690, -255277, -498602, -861599, -1368202, -2042345?\nAnswer: -2907962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-151 - -41) + 115 - -29.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -324670 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*y + 805 = -713, -y = 0. Suppose 5*u + m + j = 4*m, -u = -5*m + 110. Does 11 divide (1 - 1 - u - 1) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3993 and 35937?\nAnswer: 35937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-1)\/(-9))\/(16\/(-24)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2237 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7837 - 7837 + 128*a to the form h*a + g and give h.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 117404787 to the power of 1\/2, to the nearest integer?\nAnswer: 10835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29664*l**3*n**2 - 5*l**2*n**3 - 66387*l*n**3 + l wrt l?\nAnswer: -177984*l*n**2 - 10*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4260760)\/(-176) - (-60)\/440. What is the greatest common factor of r and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -259, 3824, -4, 0.4, -7?\nAnswer: 3824","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2)*(9\/(-15) + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**3 - 148*k**2 - 123*k + 761. Give b(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*c + 10 = 0, -166*i + 2*c = -168*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 > -241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x**2 + 10. Let l(d) = 26*d**2 + 8. Let s(w) = -9*w**2 - 3. Let v(q) = -6*l(q) - 17*s(q). Calculate -7*v(u) + 2*y(u).\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 11) to base 5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*l - 0*q + 5*q, 3*q = 3. Suppose -4*t + l = -2*t. Suppose o - 1 = -4*x - 5, 12 = t*o + 2*x. Solve -2*a = o*v - 10, -13 - 2 = -3*a + v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1468932 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/12)\/((-2)\/(-167581168)). Let p = 23240631 - g. Let v = 9754661 + p. Round v to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*n + 1. Let g(b) = -b**2 + 18*b - 61. Let c be g(5). Solve -c*m + 4*a + 11 = -m, 0 = m - n*a - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 35*t**2 + 124*t + 13. Let q be s(31). Which is the second biggest value? (a) q (b) 3 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005866 is divided by 989.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10960107 + 0.98.\nAnswer: -10960106.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x + 2025 - 1908 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 11*a - 16. Let u be r(13). Suppose -4*k = -9*k + u. Let p be 0 + k + (-3 - -4). Solve b = p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 2*l**4 - l**2)*(2*l - 2 + 2) - 3*l**5 + 2*l**2 - 2*l**2 + (-2*l**5 + 6*l**5 - 3*l**5)*(-5 + 2 + 4).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -658 - -647. Let m = -26 - -70. Let f = m + q. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.922 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(76) - (0 + sqrt(76))))**2 + 1*(1 + sqrt(76)).\nAnswer: 2*sqrt(19) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 18*m - 7. Let y(n) = 10*n - 4. Let d(w) = -4*x(w) + 7*y(w). Let u(l) be the second derivative of 5*l**3\/6 + 5*l. What is u(d(b))?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31925184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3156 and 1052.\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22512083369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155033823 divided by 3.\nAnswer: -51677941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q + 312. Let f be c(-23). Suppose h = 2*z - 381 + 40, -3*z + 4*h = -f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6048411877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**39*c**(-3\/4))\/(c**(-2\/17)\/c)**(1\/19) assuming c is positive.\nAnswer: c**(2605\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(0 + -2)*1. Let s(p) be the first derivative of -p**5\/120 + p**4\/8 + p**3\/3 - 8. Let m(l) be the third derivative of s(l). Calculate m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:57 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14)*(-56)\/8. Let i(a) = 7 + 5*a**3 - 10*a**3 - 5*a**2 - h*a**3 + 6*a**3. What is the units digit of i(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 246 = -3*b - x, 4*b = -4*x + 332. Let i = 9243 - 9233. Calculate the greatest common factor of b and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 1 + (-39)\/(-33). Let d(n) = n - 3. Let h be d(-2). Suppose l = -2*l. Which is the second smallest value? (a) l (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5806256*z**2 - 17280374*z.\nAnswer: -11612512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37168\/3 + 12390. Let z(h) be the first derivative of 0*h + 1\/6*h**4 + 32 + n*h**3 + 2\/3*h**2. Factor z(x).\nAnswer: 2*x*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -386 - 3907*f**2 + 1954*f**2 + 1954*f**2 to the form b + v*f**2 + p*f and give b.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-25 - -2) - 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 197890 and 38550?\nAnswer: 2968350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyvknvnnvpbv. What is prob of sequence vvbp?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.02 (c) -38 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 848 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 8. Let k be p\/(-2) - 51\/(-34). What is the closest to -1\/2 in k, 1\/2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2 + 3 - 3 - 2 + 2 + 1 - 1 + (4 + 2 - 5)*(4 - 3 + 0) + 3 - 3 - 2 + 4 - 3 + 4)*(3*h + 3*h - 5*h)*(-408*h + 2156*h + 24*h).\nAnswer: 10632*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2751370 times 0.6\nAnswer: 1650822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -2\/19, -4, -15, -0.4, 0.3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12118 and 6.\nAnswer: 36354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 6:39 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24261538619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -63, -2038, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**8\/840 - 7*s**6\/300 + s**5\/25 - 19*s**2 - s. Let p(d) = 0. Calculate d.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c**4*c**5*c*(c\/(c**(-2\/13)*c)*c)\/c*c)**11 assuming c is positive.\nAnswer: c**(165\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k - 40. Let j be f(10). Let a(i) = -2*i. Let l be a(-6). Suppose -g + 2*g - l = j. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10*t**2. Let y(m) be the first derivative of -53*m**3 - m - 3817. Calculate v(y(j)).\nAnswer: -252810*j**4 - 3180*j**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 8*m**2 - 2*m + 28. Let s be w(-7). Let d be s\/6*(-4 - (-96)\/28). Sort 0.1, d, -15.\nAnswer: -15, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, -1980, 0.01, 0.04.\nAnswer: -1980, -14, 0.01, 0.04, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 6*t**2 - 6*t - 7. Let p be g(3). Let l(n) = -3*n - 10. Let h be l(-5). Solve 0 = a - p*j - 2 - 3, -h = -a - 5*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -300\/11 or -27?\nAnswer: -300\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1 - 14*w + 11*w + 5*w + 3.\nAnswer: 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64099745 is divided by 1186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 2*v + 4*h, 2*v - 4328*h = -4335*h - 130 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11694068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2)*0 - -349. Let r(k) = 4 - 327*k + o*k - 4. Is 22 a factor of r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Let l = i - 2.36. Let m = l - 0.7. What is m rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.29, -2, 270, -26, 0.1 in decreasing order.\nAnswer: 270, 0.29, 0.1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -40.4 and 2.08.\nAnswer: -38.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336\/13 - 6\/(-39).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1, -4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1 - (-15 - -23). Sort 4, p, -9 in decreasing order.\nAnswer: 4, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 7. Let a be g(2). Suppose v - 7 = a*m - 4, 0 = 5*m + v - 3. Solve 4*s + 3*s - 21 = m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**4*u**2 - 9556*l**4 - 5*l**3 - 2614*l**2 - 20*l*u**2 wrt l.\nAnswer: 120*l*u**2 - 229344*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -40983+1696\nAnswer: -39287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192479?\nAnswer: 3, 397493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 803662 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 18 = 13*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 30 (c) 0.21 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -724760?\nAnswer: -724760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37921?\nAnswer: 13, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l**3 + 0 + 1\/24*l**4 + 1\/60*l**5 + 0*l + 2*l**2. Factor f(a).\nAnswer: a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5.4. Let c = -0.27 - 0.23. What is the second biggest value in y, 4, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 5:37 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by (117\/(-54))\/((-2)\/12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 2.671\nAnswer: 1.8697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 17*h**2 - 35*h + 80. Let c be q(8). Calculate the greatest common factor of 372 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-48)*-1*(-54)\/4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*a**2 + 724\/7*a + 65522\/7 = 0. Calculate a.\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 778536840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5014298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o = -4*t - 102, -31 = t + 4*o. Let b = -17 - t. Solve -2*p = -b + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528 and 30624?\nAnswer: 30624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, -113, 8 in descending order.\nAnswer: 12, 8, 0, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1*11*54\/(-36)*(-13768)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*w + 8*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.8. Let i = 11\/65 - -3\/13. Which is the nearest to 1? (a) -5 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5744*i**3 - 2*i**2 - 7*i - 3. List the prime factors of a(-1).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1164 (b) 47 (c) 6\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*p - 9*u + 12*u, 6*p - 18 = 5*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d - 14*d**2 - 33*d + 9*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 3*u**2 - 23*u**2.\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4, 0 = -4*s + 4*f + 6302 - 1258. Is 52 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172910192 to the nearest integer?\nAnswer: 13150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + 0 + sqrt(162) + 1))**2.\nAnswer: -576*sqrt(2) + 2656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -2275.\nAnswer: 2275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.894153 to two dps.\nAnswer: -1.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - 0.01. Let a = -85 - -84.9. Let n be (-2)\/(-2)*1\/(-3). What is the closest to w in -2, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -342, -734, -1284?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -4, -1, 18 in decreasing order.\nAnswer: 18, 7, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*l + 2, 0*l - 5*l = -5*m + 15. Let u(h) = h - 4. Calculate u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/x)\/(x\/x**(-1)*x)*x**(2\/11)\/x**(1\/4) assuming x is positive.\nAnswer: x**(-201\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/5 + (-66)\/45. What is the nearest to 1 in 5, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -552*h*k**2 + 342*h*k + 2710397*h + 2*k**2 - 2 wrt k?\nAnswer: -1104*h*k + 342*h + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 j, and 1 r when three letters picked without replacement from mjyjyjjryyusy.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52174779 to the power of 1\/3, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 2*k + 32. Suppose 0 = 5*y - 1 + k. Suppose 0*g - g - 5 = 0. What is the third biggest value in 1, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -21926*h + 2806457. What is f(128)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-11)\/8)\/(25\/10) and -95\/286.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1007 - 5.8993. Let s(a) = 4*a + 43. Let p be s(-10). What is the nearest to 2\/3 in d, -2\/5, p?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 1. Let m(x) be the third derivative of -3*x**5\/5 - 1949*x**2. Determine l(m(j)).\nAnswer: 1296*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q**4 + 9366*q**3 + 14962*q**2 + 1866*q - 3740 = 0. Calculate q.\nAnswer: -935, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 5*k - 2. Let y be g(3). Let z = 2 + -3. Which is the closest to 0? (a) z (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x - 161 = -105. Is x <= -29\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10.7 and 22.\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*s = 41*s - 112*s - 18. What is the fourth biggest value in s, -0.4, 8, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5581 + 5619. What is the greatest common factor of 190 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from gqubpuk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10467 is divided by 73?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or -896?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 7*j**2 + 7*j + 11. Determine l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from jaajjzjjjjaajz.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 3*a - 5. Let l be o(3). Suppose 0 = -l*r + 8, -3*z - 52 = -5*z + 4*r. Calculate the highest common divisor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 132.8744l?\nAnswer: 132874.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 85, 4, 5 in ascending order.\nAnswer: 0, 1, 4, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/((-5)\/(-15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 881 = -622. Let l = v + -165. Solve 0 = -2*j + 3*j - l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(612)) + -3 + 6*(-1 + sqrt(612)) + 4)*3.\nAnswer: -15 + 198*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 50*q + 729. Let g be l(22). What is the greatest common factor of g and 28928?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1001\/(-2200) + (-26)\/(-325). Let z = 43\/4 - 37\/4. Which is the closest to 2? (a) z (b) 0.01 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1085*p + 33. Let d(w) = -3256*w - 91. Determine -11*b(c) - 4*d(c).\nAnswer: 1089*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1348 + -1343. Sort -5, 13, -1, y, 2.\nAnswer: -5, -1, 2, y, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73.412 and -103.55.\nAnswer: -7601.8126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - y - 4*y - 55, -18 = -k - 3*y. Suppose 0 = -m + 88 - 68. Let v = m - k. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102345457 > 102345457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 18 = -63 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 558088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 - 2. Let x = -21422 + 21418. What is the nearest to -2\/3 in x, -1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 13 - 98*z + z**3 + 186*z - 6*z**2 - 5 - 84*z - z**2. Let p = 2 - -4. Calculate u(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208 - 146. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -70*n**3\/3 - 901. Let x(j) = 4*j + 5. Give t(x(k)).\nAnswer: -1120*k**2 - 2800*k - 1750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15712 and 74632.\nAnswer: 298528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 45\/2 of a microgram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - 131\/(-375). Let n = 244\/375 + v. What is the biggest value in n, 0.5, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294095543 to the power of 1\/9, 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) 62 (b) 0 (c) -0.8616\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*d**2 - 300*d**2 + 5*d**3 - 296*d**2 + 890*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 17. Solve 0*k = t*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8859570.\nAnswer: 2, 3, 5, 295319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 12. Suppose -3*c + j + x*j + 2 = 0, 6 = 2*c + 2*j. Calculate the lowest common multiple of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -679, -664, -649, -634?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2061 and -5.\nAnswer: -10305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 - 27\/(-36). Let v(x) = x**3 - 1. Let y(t) = t**3 + 4*t - 4. Let n(l) = -3*l + 3. Let m(b) = 4*n(b) + 3*y(b). Determine z*m(g) - 2*v(g).\nAnswer: g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**3 - 11*p**2 + 9*p + 35. Is a(-8) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 - -65. Let v = 91.5 + g. Let d = -1.6 - 0.4. What is the third biggest value in d, 0, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 32\/(-2) - -1. Let y = j - -19. Suppose y = -7*b + 2113 + 3396. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 2*f**2 - 34*f + 57 + 36*f to the form w*f**2 + t + l*f and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7869? (a) 10 (b) -2\/13 (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55884 is divided by 18606?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (7 + -14 - (-3 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -12 + 17 - -18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -3. Let u = 198 + -196. Which is the nearest to u? (a) 5 (b) 0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1442460 by -29.\nAnswer: -49740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-7 + 8 + -4 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 5)*(0*q + 0*q + q) + (1 - 3 + 0)*(-3*q + 1 - 1) + (q - 2 + 2)*(4 + 2 - 4) in the form a + b*q and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -519*z + 488*z - 807*z - 1549*z - 564*z to n*z + s and give n.\nAnswer: -2951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m**2 - 4*m**3 - 3*m**2)*(2 - 3 - 1)*(4 + 1 - 1 + (-7 - 2 + 3)*(1 + 2 - 2)) to q*m + u*m**3 + k + z*m**2 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*c = -28, -3*q - 2*c = -0*q - 118. Suppose 133 = 29*l - 22*l. Calculate the highest common factor of l and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 5. Let l = -2 + x. Let n = l + -3. What is the biggest value in -5, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4865, 9912, 14959?\n\"Answer: 5047*c - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50981*x**5 - 3*x**2 + 34805137*x wrt x?\nAnswer: -1019620*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1370 and 140.\nAnswer: 19180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21407 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/138 and -79\/1311.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.059 - 11283740121\nAnswer: -11283740121.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/30 - r**4\/8 - r**2. Let l(v) = v**2 - 2*v. What is 3*l(m) - 2*x(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3267089 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -362*a**2*j**2 + 4*a**2*j + 25*a*j**3 + 123*j**3 - 5961 wrt a.\nAnswer: -724*a*j**2 + 8*a*j + 25*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 9*y - 14. Let q be u(-7). Suppose -594 + 606 - 25*a**3 + 24*a - a**2 - 14*a**3 - 32*a**2 + q*a**4 + 15*a**5 = 0. Calculate a.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 + -114. Let a = -7 + 6. Sort a, n, 1 in increasing order.\nAnswer: n, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 22*r**2 + 0 + 3\/8*r**4 - 1\/3*r**3 + 0*r. Let s(j) = -j. Give -i(m) - 5*s(m).\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176060*p**3 - 71*p**2 + 20901*p + 1164 wrt p?\nAnswer: -1056360*p - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1129*n = -1046*n + 664 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*a + 4*m + 2, -20 = -5*m. Suppose -9*g = -a*g - 21000000. What is g rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8 = 12. Suppose 2*l - t + p*t - 1 = 0, -l = 2*t - 3. Let z be 8 - (-6 - l - -2*1). Solve -w + 5 + 7 = -z*c, 2*c - 5*w = -14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2 + 2380*g - 2384 = 0. What is g?\nAnswer: -596, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0*s**7 + 0*s**6 + 0 + 0*s**3 - 1\/12*s**5 + 1\/84*s**8 + 0*s**4 + 2*s**2 + 0*s. Find the third derivative of r(a) wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10660666817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 >= 19048\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 != 2010\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*p**2 - 8*p**2 + 5*p**2)*(-2 - 11 + 3).\nAnswer: -100*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/85 + (-51)\/(-70)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 9:11 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 8*v + 5. Let x be c(-8). Let m(z) = -4*z**3 - 9*z**2 + 4*z + 14. Let r be m(-2). Solve -2*d - x*j = 0, j = 2*j - r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {n: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*u + 16*u - 4*z + 256, -66*u = -70*u - 2*z - 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 4, s: 1, d: 5, r: 5}. Give prob of picking 1 h and 1 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/2)*v*v*v**1\/v)**(1\/28)*(v*v**(-2\/9))**48*(v**(1\/4))**(-6\/13) assuming v is positive.\nAnswer: v**(11651\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from iwqpqweejwwqqww.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 95. Which is the biggest value? (a) 4 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 912?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26*(-8)\/(-4)*1. Let o = 291 - w. Suppose 8*y = o + 81. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/6*-6 - (10 - 12). Suppose o*q - 8 = 7. Solve q = -2*g + 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.1 (b) -6 (c) -1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(1\/6)*d)\/(d*d\/((d*d\/d**(2\/31)*d)\/d)))**39)**4)**13 assuming d is positive.\nAnswer: d**(69290\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1\/527970, -3.6, -0.1?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4338*o = 5*u + 2174*o + 2167*o + 260, 2*o + 206 = -4*u for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10169\/50 - 497666\/75. Let h = z + 6414. Which is bigger: h or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-63574 - (0 - 1))\/(-3) - -3. Suppose c = 10*y - 18476. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -225 - -683. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.28 - -122.98. Let q = -112 + a. Let g = q + 0.3. What is the closest to g in -5, -3\/7, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (1*sqrt(99) + sqrt(99)))*-1 + sqrt(99))\/((sqrt(9) + sqrt(9)*-2)*3) - ((sqrt(3564) - (1 + sqrt(3564))) + 2*(sqrt(44) + -2))**2.\nAnswer: -201 + 118*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 607684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 0 - 19\/7*m**2 + 1\/7*m**3 = 0. Calculate m.\nAnswer: -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 11919.\nAnswer: -11937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7840, 15954, 24068, 32182, 40296, 48410?\n\"Answer: 8114*o - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 500597076*f. Let i(t) = -3*t**2. Calculate l(i(c)).\nAnswer: -1501791228*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 888105413?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 23 = 4*v - 1, 0 = 5*v - w - 30. Let u be -1 + v\/4*4. Let r be 4\/12 + (-8)\/(-12). Which is the closest to r? (a) u (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 12:31 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 78\/182 + (-1 - (-81)\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*-1)\/(sqrt(726)*3))**2.\nAnswer: 5\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - j - 89, 2*s + 3*j + 2*j - 14 = 0. Find the third derivative of x**4 + 5*x**4 - 18*x**2 + 0*x**4 + s*x**2 wrt x.\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.74 - -0.26. Put 4, 0.3, a in descending order.\nAnswer: 4, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygd when three letters picked without replacement from {g: 10, o: 3, d: 1, c: 2, y: 3}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 5*f + 3*f)*(f**2 - f**2 - 2*f**2) - 33*f**2 + 33*f**2 - 57*f**3 + (0*f + 3*f - f)*(3*f**2 + 2*f**2 - 3*f**2).\nAnswer: -43*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 10931 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.944 - -10. Let o = -0.025 + n. What is o rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153.6 + -173. Let s = x - -22. Round s to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n - 10 = 2*x, -x - 14 = -5*n. Let p be (15\/5 + -1)*16\/n. Suppose 0 = -21*v + p*v. Solve 2*h + 3 + 1 = v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -371, -558, -745, -932?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57054 and 518?\nAnswer: 399378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*v = y + 1689, -2*v - 1110 = -2*y. Suppose 102 = -t - 2*h - 2*h, -5*t - 4*h = y. Let i = -107 - t. Solve 2 + i = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3199?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Which is smaller: p or 13\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1015902, 1015892, 1015874, 1015848, 1015814, 1015772, 1015722?\n\"Answer: -4*l**2 + 2*l + 1015904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkzk when four letters picked without replacement from kzzzzkzkkkkz?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3386759551 to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -39 (c) 16 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.1 - 1.1. Let o = a + -3. Let v = o + -0.99998. What is v rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2. Let y(l) = -489409*l. Give y(i(s)).\nAnswer: -489409*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140 + -1005?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8989 - -18735. What is the remainder when l is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) + (-9)\/2. Let t(f) = -4*f**2 + 5*f + 5. Let x(g) = 12*g**2 - 16*g - 16. Let c(u) = z*x(u) - 16*t(u). Let d(y) = -3*y. Calculate d(c(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.7453 * -6.\nAnswer: -34.4718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*k + 31933 = 31908, -4*i + 38 = 2*k for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-15) - (-5)\/(-15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6*3\/9*0. Suppose 6*h = -5*o + h, -5*o - 3*h = w. Let 0*b + 8\/15*b**3 + 2\/15*b**5 + 8\/15*b**4 + 0*b**2 + o = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l + 1. Let s(z) = -33*z - 2. Give -9*n(u) - 4*s(u).\nAnswer: -21*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663020348.\nAnswer: 2, 41, 4042807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 2*r + 0*r)*(r - r - r)*(3*r + 0*r + r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 7*k - 2*k)*(3*k + 0*k - k) - k**2 + 2*k**2 - 3*k**2 + (-2*k**2 + 2*k**2 + k**2)*(3 - 2 - 2) + 0*k**2 + 0*k**2 - 3*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 9*a - 9*a + (4 - 2 + 0)*(4*a**4 - 6*a**4 + 3*a**4) - 17*a**2 + 26*a**4 + 17*a**2 - 2*a**4 + 2*a**4 + a**4.\nAnswer: 28*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1931560 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -3004?\nAnswer: -3004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x + 1. Suppose 6*m + 2 = 8. Give a(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-130)\/(-260)*3\/2*4. Solve 32 = -3*w - 5*r, 8*w = 7*w - q*r - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 40 = -158*z + 161*z, 0 = 2*y + 2*z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*k + 219*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 65*j**2 + 31*j + 28. Let y be m(-1). What is the greatest common divisor of y and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5746\/3757*34\/(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -213 - -212.994. Let k = -0.00254 - r. What is k rounded to four decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuaayymyayaaa. Give prob of picking 2 a.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665 is divided by 141.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -6793308?\nAnswer: -4755315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -383 + 355. Sort 4, -5, y, -2 in decreasing order.\nAnswer: 4, -2, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1437 + 1050. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/7 - 24294*x**2\/7 - 48582*x\/7 - 3470 = 0?\nAnswer: -12145, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2*(-3)\/(-42)*-4)\/(4\/42))\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2) + (23 - 27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -41*t + 248 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5 + 13. Let v(s) = 5*s - 92. Let x be v(20). What is the derivative of -2 + f + 2*g - g + x wrt g?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in -3\/4, -2\/9, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*n - 177*n + 168 = 0. Let p(w) = -w**3 - 7*w**2 + w + 6. What is p(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22961 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + y**2 - y + 701. Suppose -u = 5*u. Is a(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242050 divided by -1030.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1\/((b\/(b\/b**(-7)*b))\/b))\/(b*b*b**(1\/14)*(b\/((b**(-2\/15)\/b)\/b))\/b) assuming b is positive.\nAnswer: b**(1217\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and -3468\/71 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i - i - 4*i + (4*i - 53 + 53)*(-17 - 58 - 34 - 34) + (6*i - 2*i - 2*i)*(1 - 3 + 0) as h*i + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 4*z. Let c(k) = k**3 + 8*k**2 - 7*k + 13. Let w be c(-9). Let f be g(w). Put -2, 3, f in descending order.\nAnswer: 3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -565*c + 566*c. Let b(x) = -39*x + 392. Let s be b(c). Suppose 1\/12 + 1\/6*g - 5\/4*g**s - 3*g**3 = 0. What is g?\nAnswer: -1\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {x: 3, b: 2, k: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + 2 + 14 + -27 + 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3274 (base 16) to base 8\nAnswer: -31164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 108, 9, -5, -4 in descending order.\nAnswer: 108, 9, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*v + 9*v + 118243. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*w - 58*w - 225. Suppose -2*n - g + 5 = -6, 0 = 5*g - w. What is t in -4\/3*t + 4\/3*t**n + 0 - 10\/3*t**4 + 10\/3*t**2 = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/3 + 67827892*j\/3 + 67827890\/3 = 0.\nAnswer: -33913945, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26167073155 + 26167073155 - 18*z**3.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + 610\/(-15). Let j be ((-171)\/6)\/((-1)\/(-2)). Let c = g - j. What is the remainder when 46 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*l + 5. Let t be 1\/l - 3\/6. Which is bigger: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 6*q + 1. Let w be i(-5). Let v be (0 + -2)\/((-3)\/w). Sort v, 5, 3 in descending order.\nAnswer: 5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74271, 148457, 222643, 296829, 371015?\nAnswer: 445201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 18*t**2 - 396*t - 62. Let x be w(22). Let c = -6 + 3. Let u be (-1)\/c - (-736)\/(-12). Which is greater: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2311418, 2311422, 2311426, 2311430, 2311434?\n\"Answer: 4*u + 2311414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**5\/7 + 48*w**4\/7 + 153*w**3\/7 + 108*w**2\/7 = 0?\nAnswer: -12, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1545161090\/7 and -220737300 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*a + 32*a - 83985. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 23343*p**2 + 22 + p + 23353*p**2 + 4*p**3 as z + m*p**3 + g*p**2 + h*p and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -98*f**5 + 8568*f**4 - 20266*f**3 + 2972*f**2 + 7464*f + 1360 = 0.\nAnswer: -2\/7, 1, 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Factor 4*k**4 + 8*k**2 + 7*k**3 - k - 6*k**2 + d*k**2.\nAnswer: k*(k + 1)**2*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**6\/2 + 12*m**5\/5 + 9*m**4\/2 - 4*m**3 - 15*m**2\/2 - 49. Suppose u(z) = 0. What is z?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193634081*r**4 + 347444*r**2 - 144*r wrt r.\nAnswer: 4647217944*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 87 + 17 = 0. Solve 2*c - 5*a + x = -c, -5*a = 3*c - 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10242031 (base 5) to base 7.\nAnswer: 512025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(0 - (-5)\/(-10)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 4. Let a be d(3). Suppose 0 = a*k - 48 - 137. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppjktkkkk. Give prob of picking 1 p and 1 k.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0439 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c**2 - c - 4. Let z = 7 - 9. Let f(k) be the second derivative of k**4\/4 + k**2 - k + 5. Determine z*a(s) - 5*f(s).\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -310 - -226. Let v be 0\/(2\/3*w\/56). Factor 0*m + v + 1\/4*m**3 - 1\/4*m**2.\nAnswer: m**2*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 4535, 26 in decreasing order.\nAnswer: 4535, 27, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 119)\/(-110 + 115).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 8. Let k be i(-6). What are the prime factors of -1 + (-3 - k) + 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 5*a**2 + 4*a**2 + (1 - a - 1)*(a + 4*a - a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + m + 10 = 0, 5*m = -4*x - 0*m - 21. Suppose -9*l - 66 = -48. Sort -14, x, -4, l.\nAnswer: -14, -4, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 10*g = -2. Suppose 5*o - 29 = 2*p + 18, -p - 18 = -2*o. Calculate the smallest common multiple of g and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2517?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 165454 divided by -23?\nAnswer: -165454\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 90. Suppose -5*c + u = -5. What is the highest common factor of 160 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = -15*k - s + 2, 5*k - 4*s = -8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -2, 0.23, -0.5, -1 in descending order.\nAnswer: 3\/5, 0.23, -0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20859 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: Which is greater: -33661684 or -33661694?\nAnswer: -33661684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4712 + 4714. Let o(u) be the second derivative of -2\/3*u**3 + 0 + 1\/2*u**i - 17*u. Give o(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 1\/2*a**2 - 15\/2 + a = 0.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6623 and 6981.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 2)\/(3\/6). Let t = 4 - i. Is 2 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -d - 4*c + 6, d = 3*c - 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 101253718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b30 (base 12) to base 9.\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**2 + l**3 - l + 291 - 274 - 13*l**2. Determine a(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1742 = -38*y - 95*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1449890 + -1.545144\nAnswer: 1449888.454856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -304802 - -5?\nAnswer: -304786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 76\/28 + 6\/21. Let v(k) = -i*k**2 + k**2 + k**2. Let s(n) be the third derivative of -n**5\/20 + 4*n**2. Determine v(s(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85068, 84985, 84846, 84651, 84400, 84093, 83730?\nAnswer: 83311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 25 = 13. Put w, 0, -5 in descending order.\nAnswer: 0, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3559, 3550, 3541, 3532, 3523, 3514?\nAnswer: 3505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 852 and 15336.\nAnswer: 15336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 19712, 11, 3, -98, -5 in increasing order.\nAnswer: -98, -5, 3, 11, 19712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 1. Suppose 86 - 77 = -9*h. Let c(w) = -w. Let k = 18 + -21. Calculate h*v(y) + k*c(y).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 143*a - 3448. Calculate r(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 72, 100, 146, 216, 316, 452, 630?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(18)*2)\/(sqrt(150)*-3 + sqrt(150)).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*j - 122. What is the lowest common multiple of j and 308?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/26)\/((-161)\/644). Which is the nearest to -2\/7? (a) -0.11 (b) o (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9333787 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -203013310 (base 5) to base 8\nAnswer: -3123425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2645650 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 28*c**2 + 33*c + 9. What is the tens digit of k(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((13 + -9)*1\/6). What is the common denominator of 113\/6 and (15\/(-7))\/(-1)*s\/27?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 113534496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -26, -5, 36, 103, 202, 339?\n\"Answer: q**3 + q**2 - 3*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-20)\/(-15))\/(4\/138)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 - 3*c + 4. Let g be b(-4). Suppose 2*r + 2*r + 4 = 0. Does 15 divide g*((-6)\/4 - r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-4))\/(1 + 1). Let i(y) = y**3 - 9*y**2 + 18*y + 2. Let s be i(8). Let g be s\/(-90) - 32\/(-40). Which is the nearest to d? (a) g (b) -0.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8407 by 7.\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*r - 0. Let l be 4\/((-44)\/r - -3). Solve 0 = -2*g, -3*d - l = -7*d - 5*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 774767655?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/44 - 1235\/(-209). Solve -9*q + 6*q = 2*i + 2, 0 = 5*i + 5*q + o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 26004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 - 18*(-8 + (-90)\/(-12)). Sort -11, 0, -2, 4, i in decreasing order.\nAnswer: 4, i, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + q**2 + q + 21. Let t be d(0). Find the common denominator of 2 + (-237)\/18*t\/203 and 32\/11.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 317112*t - 3 + 4 + 1.\nAnswer: -317112*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tktteeetkttket. What is prob of sequence ttee?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*0\/5. Suppose 3*w - 1212 - 72 = p. Is w\/6 + 3\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 249704 and 2912.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282*l**2*z - 516*l**2 + 3*l*z - 70*l + 9*z - 10 wrt l?\nAnswer: 564*z - 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1302)\/35)\/(-31)*15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -2.\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1080 divided by 5\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4274 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 402*p**3 + 9*p**2 - 21*p + 6. Does 42 divide s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3372434399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and 4.38.\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 216, 191, 172, 159?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 21. Does 6 divide c\/5 + 318\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*w + 15. Suppose -890 + 113 = -w*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = 8*z + 163 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d**3*t**6 - 24*d**3 - 1968*d**2*t**4 + 3758*t**2 wrt t?\nAnswer: -1560*d**3*t**3 - 47232*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74, 148, 224, 302, 382, 464?\n\"Answer: b**2 + 71*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*c + c - 17 = 0, -8 = -i + 2*c. Let a = -155 + 154. Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3109 is divided by 112.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13431)\/(-55) - 4\/(-5). Let w = 361 - v. Does 29 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + c - 2)*(-2 - 4 + 4) + 6*c - 8*c - 9*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28443041.\nAnswer: 11, 67, 38593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-3 - ((9 - 14) + -6)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 120166305 (base 7) to base 16\nAnswer: 719b3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-7)*3*7\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, t: 5, i: 1, c: 2, b: 7}. What is prob of picking 2 c and 1 b?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 666\/277 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 48, 0, -3 in decreasing order.\nAnswer: 48, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 + 15\/10)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 28*q**2 + 3*q + 1. Let h be g(-2). Let b = -244 + 344. What is the second derivative of -1 + 1 + h*z - b*z - 4*z**2 wrt z?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 7, 1, -2\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31885760 + 38?\nAnswer: 31885808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 468\/91 - 2\/14. Suppose -u*i = -i. What is i rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 822 = s. Suppose 0*o + 2*o - 21 = -3*l, -2*l + 2*o = -4. Suppose l*a - 113 = s. Is a a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3050 (base 10) to base 6.\nAnswer: -22042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let n = 114 + -107.3. Let l = -7 + n. Is r at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 3*u**2 - 4*u - 2. Let h(j) = 9*j**3 - 1157*j**2 - 1152*j + 14. Let g(w) = h(w) + 7*i(w). Find s such that g(s) = 0.\nAnswer: -1, 0, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23219 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 2*v**3 + 3*v**4 - 5*v**4 - 2*v**2 + 9*v to the form z + s*v**2 + f*v**3 + q*v + b*v**4 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151320260?\nAnswer: 2, 5, 7, 13, 29, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1012593918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3750, 3718, 3690, 3666, 3646, 3630?\n\"Answer: 2*s**2 - 38*s + 3786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 6:54 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.12. Let z = p + -0.38. Let f = 2.39 - 6.39. Put 5, -0.9, f, z in decreasing order.\nAnswer: 5, z, -0.9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.161 + -5.161. Let g(n) = -n - 4. Let f be g(-6). Which is the closest to f? (a) 2 (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + (10 - 3 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(7\/(-3773)*-11). Are 32 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.356 - 0.014. Let b = w - -0.37067. What is b rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1832 + 6080 + 3320 = 36*o. What is the remainder when o is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/5 + 2062*n\/5 - 3312 = 0.\nAnswer: -2070, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-29)\/(-1) - -7)\/(6\/44). Calculate the highest common divisor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xixaaaxkax. Give prob of sequence xixx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -5.32758 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8134718 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.30607 millilitres to litres.\nAnswer: 0.09130607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8113*s**2 - 4834*s**2 - 4677*s**2.\nAnswer: -17624*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197 - 196. Put s, 0.5, 19 in descending order.\nAnswer: 19, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - 77?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000143593 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*z + 1184*z - 163*z as w*z + a and give w.\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 7. Determine w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7018 + 3508 - 7*c**2 + 3510.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72156080.\nAnswer: 2, 5, 751, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 44698365?\nAnswer: 491682015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -57*g - 4. What are the prime factors of b(-1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**3 + 8*c**2 + c + 1. Calculate the remainder when 3\/(-2 - 23\/(-10)) is divided by s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f**1*f*f)\/(f**2\/f)*(f\/(f\/(f*f*f\/((f**(2\/7)*f)\/f*f))))**11)\/((f*f*f*f*f*f**(-1\/3)*f*f)**(-3\/10)*(f*f**(-2\/3)\/f*f)\/f**0) assuming f is positive.\nAnswer: f**(536\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5 + 12*p**4 + 21*p**3 - 102*p**2 + 72*p = 0.\nAnswer: -3, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11 (b) 9 (c) -2754\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {w: 3, q: 3, z: 1, j: 3, p: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 103*o**3 + 8*o**2 - 8*o + 8. Let c(z) = 69*z**3 + 5*z**2 - 5*z + 5. Let y be (-68)\/(-12) - (-84)\/(-126) - 0\/(-1). Give y*a(p) - 8*c(p).\nAnswer: -37*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(132) + 2*sqrt(132)*4 + sqrt(132))\/sqrt(12) - (2 + (-2*sqrt(44) - sqrt(176)*-5)))**2.\nAnswer: 36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/3, 6\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 35 = -a, 2*a = 18*o + 10*o - 218 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.2402 - 0.6972. Round c to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocwli. Give prob of picking 1 o and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 15}. What is prob of sequence abbb?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 3*s - 15. Suppose 4*f + s*t - 129 = 0, 2*f - 3 - 24 = 5*t. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*a**4 + 2*a**3 - 357964*a**2 + 3940198*a wrt a?\nAnswer: 192*a**2 + 12*a - 715928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-10))\/(18\/135). Is (-32)\/m*9\/6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 1225*b**4 - 2520*b**3 + 1366*b**2 - 72*b + 1 = 0?\nAnswer: 1\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 7. Let w be z(-3). Put 0, w, -4, -2 in increasing order.\nAnswer: -4, -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 35094958*m\/3.\nAnswer: 2*m*(m + 17547479)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -2\/9, -35.492, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 101 = 31. Suppose g - 59 = -2*n, 0*n + 93 = 3*n - 3*g. Suppose 0 = w + 19 - n. What is the highest common divisor of c and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 - 1365*x**3\/2 + 5048*x**2 + 19593*x\/2 - 6075 = 0. What is x?\nAnswer: -2, 1\/2, 9, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 214*p - 216*p. Is 1 - (p - 28)*72 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1134*v**4 - 2*v**2 + 700*v - 1 wrt v?\nAnswer: 27216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*s + 4 + 12*s + 8*s)*(2 + 0 - 1).\nAnswer: 4*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 6*g**2 + 6*g + 3. Let t be x(-7). Let p = -7 + t. Suppose p*j + j = 2640. What is j rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-1 + -1)) + -4 + 5 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 331942342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -33.9, 5, 2\/9, 0.5, -34?\nAnswer: -33.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 425 = -13*i - 5*z, -i + 109 = 4*z. What is the lowest common multiple of i and (-1)\/(2\/(-54)*3)?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3394, 3401, 3408?\nAnswer: 3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p - 2*c - 513, -c = -3*p + 308. Suppose 5*o = p + 297. What is the highest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 3}. What is prob of picking 1 i and 1 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6254 = 5*d - 0*d, 4*d = -5*c + 4996. What is the highest common factor of d and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -5*l - 11838 + 11883, 2*l = 19*f - 24 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/11)\/(84\/(-77)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111001010011 (base 2) to base 9\nAnswer: 5024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20*o**5 - 12*o**4 + 24*o**3 + 24*o**2 - 60*o + 4. Let r(t) = -t**5 - t**4 + t**3 - t**2 + t + 1. Let n(l) = 16*r(l) + w(l). Factor n(a).\nAnswer: 4*(a - 5)*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*w + 154 = 191, 0 = -m - 4*w - 26. Suppose 4 - 10\/3*h**m + 26\/3*h = 0. Calculate h.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*((-6)\/(-14) - 19\/(-8645)*-377). Let v(x) = -x**3 + x. Let l(a) = -4*a**3 + 4*a - 1. Let i(o) = 2*l(o) - 6*v(o). Give i(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -404*u + 9. Is i(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2 + 174486*o + 7611341049 = 0.\nAnswer: -87243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 12 = 0, -i + 0*i = -2*l - 2. Calculate the lowest common multiple of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21344444 (base 5) in base 11?\nAnswer: -116583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 180629306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 4:11 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**2 - x**2)*(0*x**2 + x**2 - 2*x**2) + x**4 + 3*x**4 - 2*x**4 + (1 - 1 + 5)*(0 + 0 + 5*x**2)*(3*x**2 - x**2 + x**2).\nAnswer: 78*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 14, 1 in ascending order.\nAnswer: 1, 14, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 7. Suppose p + m*w - w = 3, -4*p - w + 12 = 0. Let d = -3 - -3. Solve d*v = -p*v + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let o be 12\/7 + 4\/14. Suppose 3*l - 2*h + 2 = 0, 6*h = 5*l + 2*h + 6. Let c(t) = -13*t**l + 8*t**o + 2*t - 2*t. Calculate c(n(s)).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 - 8*z**3 + 12825*z**2 + 30*z**3 - 11*z**3.\nAnswer: 2*z**3 + 12825*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347.5493 decades to centuries.\nAnswer: 34.75493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*k + 3. Let x(w) = 9*w**3 - w + 1. Let g be x(k). Let t = 14 - g. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*y + 51*y + 51*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s**3 - s. Let w be b(-1). Let k = 2 + w. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2960 and 37296.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 40 = j. Let i(u) be the first derivative of -3 + 0*u**3 - 1\/2*u**4 + 0*u + 1\/2*u**j. Find the second derivative of i(f) wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(603\/(-108) + 5)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 25. Let n(i) = 9*i + 51. Let t(v) = -h(v) + n(v). Let q(l) = -2*l - 9. What is -17*q(r) - 6*t(r)?\nAnswer: -8*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(-143*y - 42*y - 63*y) as j + q*y and give q.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*c - 21*c + 38*c)*(3 - 2 + 7) to the form j*c + v and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(80) + 2*sqrt(80)))\/((sqrt(10) + sqrt(360))*2))**2*2 + -3.\nAnswer: 753\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 1\/4*n**4 - 1\/20*n**5 + 0*n**3 + 0*n**2 + 0 + 3*n. Find the third derivative of g(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505, 2041, 4595, 8161, 12733, 18305, 24871, 32425?\nAnswer: 40961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 14*c**3 - 19*c**2 - 2*c - 7. Let r(s) = -54*s**3 + 75*s**2 + 7*s + 28. What is -23*k(l) - 6*r(l)?\nAnswer: 2*l**3 - 13*l**2 + 4*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2517208, -10068504, -22653990, -40273660, -62927508, -90615528, -123337714?\nAnswer: -161094060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (25\/5)\/(1\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125635 (base 7) to base 14.\nAnswer: 888c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j - 5. Give z(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 36 - 41 = 2*o, -12 = 4*y + 2*o. What is the third smallest value in y, -69, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022 (base 4) in base 16?\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 875617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11691*y - 20773*y = 563084 for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98149895 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/(-12) - ((-45)\/12)\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-420)\/18)\/(4\/(-6)). What is the units digit of 259\/v + (-2)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4532696 to the nearest integer?\nAnswer: 2129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3697?\nAnswer: 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {m: 4, p: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92041312?\nAnswer: 2, 11, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*34\/(-2805))\/((-1)\/5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121003247\/5229 - -161983\/7. Let k = a - 6\/83. Sort k, 0.1, 4 in ascending order.\nAnswer: k, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778216749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 2 + 4. Let n be ((-7)\/2)\/(d\/2). What is the second derivative of -7*t + 12*t - 4*t**4 - 2*t**4 - n*t**4 wrt t?\nAnswer: -156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 2. Suppose 3*p - 14 = -4*l + f*p, 0 = -l + p + 4. Solve -l*a = 4*i - a + 1, 2 = i + a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 + 49 + 111*o**4 + (-3*o**2 + 6*o**2 - 4*o**2)*(2*o**2 - 3 + 3).\nAnswer: 109*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 4. Let t(i) = 3. Let l(z) = 3*q(z) + 4*t(z). Let n(v) = -4*v**2. What is l(n(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5\/9 - 4*p**4 + 76*p**3\/9 + 752*p**2\/9 + 374*p\/3 + 484\/9 = 0.\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*p - 39*p - 35*p**2 + 36*p**2 + 30*p.\nAnswer: p**2 - 84*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 4871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091809.\nAnswer: 2091809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**4\/24 + q**3 - 7*q**2. Let r be i(-2). Factor -4*x**2 + 24 - r*x**2 + 12*x**2 + 20*x.\nAnswer: 4*(x + 2)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 9. What is the lowest common multiple of ((-77)\/(-21) - 5)\/(7\/(-42)) and (-11)\/j + 4\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmaamwxrsmsm. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.82 * 0.18.\nAnswer: 2.3076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**3 - 33*m**2 + 41*m - 123. Let c(i) = 7*i**3 - 32*i**2 + 41*i - 122. Let t(z) = -5*c(z) + 6*q(z). Let u be t(37). Solve -4*o = -0*o + u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 50*g - 124. Let c be m(4). Let j = -68 + -4. Let o = j + c. Calculate the remainder when 14 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 752 + -748. Suppose 0 = 5*g - 4*r - 8590, -4*r - 16 = x. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -555 - -782. Let u = r + -266. What is the nearest to -1\/2 in -0.3, 2\/7, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 11:38 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*s + 13*s**2 - 75*s + (2*s - 3*s + 41*s)*(0 - s + 0) - 2*s**2 + 4*s**2 + 0*s**2 + (2 + 0 + 0)*(1 - 1 + s**2).\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -94. Suppose -2*k + 2*g + 3 - z = 0, 0 = 2*k + g - 14. Suppose 4 + 1 = a, -2*q - k*a = -73. Calculate the lowest common multiple of q and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 9*f**2 + 8*f - 8. Suppose 31*v - 3353 - 9636 = 0. Let z = v - 411. Calculate p(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 8. Let t be 209\/(-3) + (-2)\/h. Let j = t + 182. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 - 4*j**2 - j - 6. Let o be f(-3). Calculate the highest common divisor of o and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - (2 - (6 + -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 844557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c + 9. Calculate the remainder when a(7) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*b**4*s + 4833513*b**2*s**2 - 70077*b*s**2 + 288*s**2 wrt b?\nAnswer: -396*b**2*s + 9667026*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(4\/23)*n**(-3) assuming n is positive.\nAnswer: n**(-42\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*n - 438 + 796 + 7833 = -314 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1583\/3 - 509. Let m = x + -33\/2. Calculate the common denominator of 59\/7 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.123 + -0.077. Sort -0.3, -2\/13, j, 3\/44 in ascending order.\nAnswer: -0.3, j, -2\/13, 3\/44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 35*z**3 + 7*z**2 + 19*z - 7. Let j(a) = -23*a**3 - 5*a**2 - 13*a + 5. Determine 7*j(g) + 5*l(g).\nAnswer: 14*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -8. Let x = 10 + l. Suppose s + 13 = x*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by -7.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 162*-0.4\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -11398*d**2. Let h(r) be the third derivative of r**5\/30 + 107*r**2. What is h(m(g))?\nAnswer: 259828808*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.42032 - 0.06066. Round w to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 9*j - 6255 + 6352, 3*j + 14 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126170 is divided by 41936.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4207083000 rounded to the nearest 1000000?\nAnswer: -4207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 18. Let t be 108\/j - (-2)\/(-13). Solve -u - t = -5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 12 = -8*t. Factor -2*l**5 + 4*l**3 + 4*l**2 - t*l**4 + 0*l**4 - 2*l**5.\nAnswer: -4*l**2*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - q - 320 = 0. Let d = q + -30. What is the units digit of 8\/6*d\/(-4)*-153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d = -5. Let r(k) = -1 + 3 + d + 2 + 2*k**2 + 7*k. Give r(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-800)\/(-450)*(-14)\/(-280)*-15?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1853976.649 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33982.\nAnswer: 2, 13, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13 = -5, -3*k + 408 = 3*t. List the prime factors of k.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 7*x**6\/120 + x**5\/6 - 8*x**2. Find the third derivative of f(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/12329 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -2*s**3\/3 - s**2\/2 + s. Let p = -5 - -4. Let d be o(p). Solve c + 0*c = d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*v + 27 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*i + 24576 = 16*i. Which is smaller: -386 or i?\nAnswer: -386","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-4 + 4 + -90) - 20?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-3\/4))\/m)**(-43)\/(m**8)**(2\/91))**23 assuming m is positive.\nAnswer: m**(-271469\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -568 + 2423. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**3 - b**2 - 867*b + 870. Calculate i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, -1, 5.\nAnswer: -165, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 131 = 11. Suppose 0 = -5*s - 8 + 33. Put a, s, -2, 3 in increasing order.\nAnswer: -2, 3, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1284676, 2569327, 3853978, 5138629, 6423280?\n\"Answer: 1284651*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 6. Let h be k(8). Find the third derivative of -h*r**2 + 3*r**6 + 21*r**2 - 15*r**2 wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*i + 1636, -5*h + 28*i - 31*i + 1624 = 0. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y - 71. Let u be k(-7). Put 3, u, 4 in descending order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -217\/4 - -54. Let j = -144.95 + 145. Is w bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 - 2 + 3 + f + 2*f**3 + f**2. Let x(i) = -6*i**3 + 5*i**2 + 5*i + 5. Suppose 3*a + 50 = -56*g + 60*g, 3*g + 3*a = -15. Give g*j(q) - x(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10999 and 37526?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468671207?\nAnswer: 23, 3121, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15064\/16140 + -2 + 1.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(2*g**2 + 0*g**2 - 4*g**2)*(7*g + g + 13*g)*(8*g - 2*g + 2*g + 0*g + 0*g + g + 3*g - 2*g + g + (-5*g + 3*g + g)*(-3 + 5 - 1)).\nAnswer: -420*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 374\/(-18) - (-2)\/(-9). Suppose -8 = n + n, 5*y - 203 = 2*n. Calculate the remainder when y is divided by j\/105 - 51\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*z, 4*r + z = 2*z + 5. Let x be 0 + 0 + r*2. Solve x*q = q - o - 4, 4 = -q - o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5628312 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 5*m - 6. Let t be o(7). Is 7 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35.2 + 42. Let p = -7 + q. Let f = p + 0.2022. What is f rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 9*c**2 - 7*c + 11. Let j be n(-8). Suppose 0 = -j*r + 4*m - 6*m, 0 = -5*r + m. Is r at least 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 3.9. Suppose -2*i + 2 = 6. Sort h, i, 2\/15.\nAnswer: h, i, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 864024 and 1?\nAnswer: 864024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s - 35. What is y(12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssqnttqtsnssttsq. Give prob of sequence qntn.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**5 - 37*x**4 + 64*x**3 + 72*x**2 - 112*x - 80 = 0.\nAnswer: -1, -2\/3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/3 - 27*g**3 + 2090*g**2\/3 - 5216*g - 13440 = 0. What is g?\nAnswer: -2, 24, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (54 - 1)\/(-4 + 3). Let q = -51 - d. Factor 6*o**2 - 4*o**q + 8 + 7*o - 15*o.\nAnswer: 2*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -536b00 (base 12) to base 6\nAnswer: -44131200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*h**2*q**3 + 446*h**2*q - 1359*h*q**3 + q**2 wrt q?\nAnswer: 66*h**2 - 8154*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*-2 - 834. Let j be 40\/15*(-3)\/(-4). What is the units digit of j\/(-5 - z\/167)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 - -113. Let k(w) be the third derivative of w**6\/720 + w**5\/24 - w**4\/24 - w**2. Let l(f) be the second derivative of k(f). What is l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436131.\nAnswer: 3, 29, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(36)\/sqrt(2) + sqrt(18)))\/(sqrt(9) - (sqrt(9) - (sqrt(441) - (-2*sqrt(441) - sqrt(441))))).\nAnswer: 3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7692419 is divided by 3846127?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + 3*n**2 - n + 8. Let k be q(5). Suppose 4*m + k*z - 28 = 8, 4*z + 48 = 3*m. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 5001690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2371 - 130*q - 156*q + 24*q**3 + 286*q - 2371.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96380 and 2684.\nAnswer: 1060180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7565 - 7567. Let i = -12\/11 + 35\/22. What is the closest to r in i, 1, -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 15*c + 92. Let i be r(-9). Sort i, 0.5, -0.6 in increasing order.\nAnswer: i, -0.6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5600)\/(-84)*(-9)\/(-12). Solve r - 30 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379153542?\nAnswer: 2, 163, 7298017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 4 (b) 1\/4 (c) -1\/4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 10*m**2 + 19*m + 3. Let b be k(-7). Let w(f) = f**3 - 16*f**2 - 15*f - 41. Determine w(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2, 0, 3 in decreasing order.\nAnswer: 5, 3, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 12:59 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 - 7*z)*((-3 + 1 + 3)*(1 + 1 + 0) - 3 + 1 + 1)*(z + 2 - 2).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3*a + 11 = 0, 0*a + 105 = -l - 5*a + 110 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 28120.8?\nAnswer: -8436.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t - 7. Let q be c(-4). Suppose 4*g = -a + q, 0 = 4*a - 8*a - 5*g + 20. Suppose -u + 0 = -2, d + a*u - 21 = 0. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.033 + -0.033. Sort 0.5, 0.2, v, -1 in decreasing order.\nAnswer: v, 0.5, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 15 = u. Let p(c) = 30*c + 12. Let y(t) = -31*t - 13. Let v(h) = -4*p(h) - 3*y(h). Let r be v(-2). What is the greatest common factor of r and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 11:07 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3736, 15373, 34774, 61939, 96868, 139561, 190018?\nAnswer: 248239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 14*v + 13*v = -4, -4*l = 4*v + 8. Let y(i) = -4*i**2 + 2*i + 4*i**2 - i**2 + 3*i**l - 3*i**2 + 4. Determine y(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 82006*s**2 + 15*s + 18. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 369522*h**5*w**3 - 20*h**2*w**3 - h**2*w**2 + 2*h**2 - 733*w**3 wrt h?\nAnswer: 22171320*h**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3674 + 14?\nAnswer: 3688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-109)\/(3488\/(-320))*(0 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 11:46 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 144, 313, 550, 855?\nAnswer: 1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5062, 22765, 53106, 96085, 151702, 219957?\nAnswer: 300850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1577, 1584, 1603, 1640, 1701, 1792, 1919, 2088?\nAnswer: 2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5407 + -1a?\nAnswer: 53ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkgkkxgqkkkkkkkg. What is prob of sequence qgqk?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1365 at least as big as -1370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -f + 3*d, 0*d = -5*f + 4*d + 325. Suppose -5*c + 91 = 3*s - 2*s, 75 = 4*c + 3*s. Let x = c - 4. Calculate the remainder when f is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(891)*2 + sqrt(891))**2 - sqrt(891))*4 + -4 - (2 + (1*sqrt(891))**2 + ((-1 + (sqrt(891) - -1*sqrt(891)))**2 + sqrt(891) - sqrt(891))))*2.\nAnswer: 55228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 22, 0 in decreasing order.\nAnswer: 22, 6, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1442 - -1558) + (-93 - 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i - i + 4*i)*(-1 - 5 + 2) + 2*i + 2 - 2 - 2*i - 2*i + i + (-3*i - 3*i + 2*i)*(3 - 3 - 2) to q + g*i and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 481737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -88 in decreasing order.\nAnswer: 2, 0, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23049 and 1071.\nAnswer: 24685479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 1 + 7. Let m(v) = -v**3 + v**2 - 1. Let r(u) = -10*u**3 + 11*u**2 + 5*u - 9. Let y(c) = w*r(c) - 14*m(c). Factor y(o).\nAnswer: -2*(o - 2)*(o + 1)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1283 divide 297845950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6*19\/((-760)\/32).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5580 - -2205?\nAnswer: 7785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a\/(a\/a**(-1)*a)*a)))**(-35)\/(a**(-5)*a*a*a**2*a) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 4:16 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -5?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -1\/16*n**4 - 1\/40*n**5 + 0 + 1\/80*n**6 + 0*n + 2*n**2 + 1\/140*n**7 + 0*n**3. Factor y(d).\nAnswer: 3*d*(d - 1)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 10*s + q + 6 = 0, 0 = q + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0 (b) -1 (c) -2\/11 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113\/54 - 52\/27. What is the closest to -0.4 in -2, -3\/4, 4, a?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 2\/23 (c) -18 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 4032?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90237326*y**2 - 87298136*y.\nAnswer: 180474652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7 - 31 = 0. Let f be (t\/16)\/(1\/(-118)). Suppose f - 11 = -4*q. Which is smaller: -14 or q?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l - 14. Let v(y) = 8*y + 14. Let w(i) = 7*f(i) + 6*v(i). Let k be w(-18). Solve 12 + 8 = -k*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysnsnsfynsqvnynyqnn. Give prob of sequence qss.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 115.56 and -3.\nAnswer: -346.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 - 2*g**2\/5 - 4*g\/5 + 8\/5.\nAnswer: (g - 2)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 1380 - 496 = 76*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/4070530 and -125\/504?\nAnswer: 1025773560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561 = 15*z - 516. What is the nearest to -1 in 6, 6.4, z, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351\/(-2340) + (-126)\/120.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2965.225 rounded to the nearest integer?\nAnswer: -2965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17251 is divided by 115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 512352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -81, -137, -193, -249, -305, -361?\n\"Answer: -56*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1190)\/(-98) - 13)*(-7)\/2. Solve d*v - 2*t - 3*t = 15, -t - 3 = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*a - 5*z, -688769 = 9*a + 4*z - 688756 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j + 14. What is d(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 15.9. Let b be 2*(6\/(-4) + -1). Put b, h, -2 in ascending order.\nAnswer: b, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 10. Let r = 0 + o. Let l = r + 4. Which is the third biggest value? (a) 1\/8 (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4443562*a**4 + 2011*a + 804 wrt a?\nAnswer: 53322744*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyyy when four letters picked without replacement from yyyneeyyzyyznkyeny.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -27, -115, -293, -591?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 537 - 291. Suppose 0*l = 2*l - j. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:23 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-2 + 2 - 2*f)*(-1 + 3 - 3)*(5*f**3 + 2*f**3 - 15*f - 9*f**3).\nAnswer: -4*f**4 - 30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*a + 20. Calculate the highest common divisor of a and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 k, 1 j, and 1 g when four letters picked without replacement from {g: 1, j: 3, h: 1, a: 3, k: 1, w: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 9*a**3 + 3*a - 223. Let w(x) = -18*x**3 - 7*x + 447. Determine 7*b(t) + 3*w(t).\nAnswer: 9*t**3 - 220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/8415)\/(87\/(-783))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {z: 2, g: 1, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29840709629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -607829327*s**3 + 590*s**2 + 299*s + 1 wrt s.\nAnswer: -3646975962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*f**3 + 16*f**3 + 34*f**3 + 19*f**3.\nAnswer: -47*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -11. Suppose s - 2*n + 7*n = 27, 2*s - a = 5*n. Let k(g) = -g**3 + 8*g**2 - 6*g - 3. Calculate the remainder when k(6) is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 3, -5, 2, 7, 4, -2 in decreasing order.\nAnswer: 7, 4, 3, 2, -2, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 55\/4 of a tonne?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*o, 4*v + 0*v - 2*o + 12 = 0. Let z = 5 + v. Suppose j - 2*p = -3, 4 = 3*j - 4*p + 7. Solve z = -j*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l + 3549359 + 362449 = -2236858. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - l = 6, 2*l - l + 1 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 6*z = -240. Let h = 43 + z. Let j be (-2 - -2)\/(1*(h - 4)). Solve -3*p + 0 + 9 = j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12243 and 924.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 2*q + 8. Let j be 5\/10 - (-3)\/q. Suppose -j*h = 5*o - 27, 8*o + 68 = 4*h + 4*o. Which is greater: 17 or h?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.056 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 q when three letters picked without replacement from {i: 1, y: 7, k: 2, v: 3, n: 2, q: 3}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m - 4. Let j(s) = s - 1. Suppose 0 = 33*z + 246 + 40 - 121. Calculate z*j(n) + i(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 1. Let i be z(-3). Let r = -8 + 4. Let k(g) = 2*g - 5. Let q(t) = -3*t + 6. Let v(b) = r*k(b) - 3*q(b). Calculate v(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/7))**(2\/23)\/(c**(-3))**(-2) assuming c is positive.\nAnswer: c**(-956\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 1:57 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1150241*g - 879546?\nAnswer: 1150241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) 117 (c) 5 (d) 106 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18090 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -163.811. Let m = -0.589 + s. Which is the smallest value? (a) 2\/5 (b) 44 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) + -1 + sqrt(242))*2 - (1 + -2*sqrt(242)))*3)**2 + 4 + 1 + sqrt(242)*-2*5.\nAnswer: -3674*sqrt(2) + 78494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 62499 and 0.3.\nAnswer: 62499.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1854, -1858, -1876, -1914, -1978, -2074?\n\"Answer: -r**3 - r**2 + 6*r - 1858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-12))\/((-252)\/(-162))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0631 times 75?\nAnswer: 4.7325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:43 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*m + 110, -l = 2*m - 4 - 51. Suppose 2*u = -w + 31, u + 3*u - l = 5*w. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/18)\/(2\/(-66)). Let f = 14 - n. Let j be f - (-4)\/(0 + 1). Sort 0, j, -2 in descending order.\nAnswer: 0, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-17) + 210\/(-816))\/((-2)\/16). Let -8\/7*h**k - 4\/7*h - 2\/7*h**4 + 0 - 10\/7*h**2 = 0. What is h?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 2*i + 10. Let q be g(0). Let t be 22\/q + 8\/10. Solve 6 = 3*f - t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.650534 * -0.5\nAnswer: -10.825267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61763518 to the power of 1\/2, to the nearest integer?\nAnswer: 7859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - w + 1. Let l = 6 - 8. Let i be k(l). What is the first derivative of -1 + 4 + i*g - 7*g wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = j - 2*l, -5*l = 1373*j - 1369*j + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/3*(-6)\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 146*a - 3727. Determine d(-113).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -902, -1\/5, 2692 in increasing order.\nAnswer: -902, -1\/5, 2692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + n + 4. Suppose -l - 6 = g - 13, 3*g + 4 = 2*l. Let b(h) = -6*h**2 - h - 5. What is l*r(o) + 4*b(o)?\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8609?\nAnswer: 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2336 (base 9) to base 5.\nAnswer: 23414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5147 - -1?\nAnswer: -5146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 7*r - 1. Suppose -4*m - 93 = -5*b, -38*b = -40*b + 2*m + 38. What is the remainder when x(-7) is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.35, -2\/5, 3, -11, 2 in increasing order.\nAnswer: -15, -11, -2\/5, -0.35, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 5*m. Let u(z) = z. Let x(q) = q. Let h(d) = -u(d) + 2*x(d). Give h(l(n)).\nAnswer: -2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/20)\/(s*s\/s**(7\/9))*s**(-1\/37)\/(s\/s**(2\/3)) assuming s is positive.\nAnswer: s**(-10873\/6660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 655807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3\/7 + 103476*l**2\/7 + 3522676*l\/7 + 3419196\/7 = 0. Calculate l.\nAnswer: -33, -1, 25903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*w + 200*w + 170 + 196 = 62 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 - 3571*o - 3576. What is k(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) - (-132)\/30\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 59. What is the nearest to -2\/5 in -0.3, w, 30?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-136)\/(-3) + 20\/(-15). Let s = o + -46. Let u(g) = -g**3 + g**2 - g - 1. Determine u(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 4*i**2 - 4*i**2)*(-2 + 3 - 3) + 5 + 3 - 3 + i - 2*i**2 + (-5*i + 3*i + i)*(2*i + 1 - 1) + 0 + i**2 + 0 + 3*i - 2*i**2 - 3*i.\nAnswer: 9*i**2 + i + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 11 - 403*l + 279*l - 793*l + 15.\nAnswer: -917*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8 = 4*z, 18 = -3*l - 4*z + 59. What is the units digit of 5\/l + 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 730, 1145, 1606, 2125, 2714, 3385, 4150?\nAnswer: 5021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 36 = -4*m, 5*m = -5*p + m + 42. Let k(y) = 3*y - 3. Let s be k(3). What is the greatest common divisor of s and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3292*d - 12 = -3296*d. Solve -5*v - 14 = -b, -d*b = 2*v - 0*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4667 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1344*y + 4056*y - 2 - 1372*y - 1335*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert 340d (base 15) to base 11.\nAnswer: 8325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24816 times -46?\nAnswer: 11.41536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 13*o - 60. Determine r(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(-2 + 0 + 1) - 3 + 1 + 1)*(3*x - 4*x - x)*(20 + 26 + 85).\nAnswer: 786*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 2160?\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1630 or 1\/829?\nAnswer: 1\/829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**3 - r**2 - 3*r - 6. Let x(a) = 3*a**3 + a**2 + 2*a - 2. Calculate 2*x(d) + z(d).\nAnswer: 10*d**3 + d**2 + d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 3)*(-3*g**2 + 16*g**2 - 4*g**2)*((-3 + 3 + 1)*(-2*g + 0*g + g) - 6*g + g + 4*g).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 347.1074 to one decimal place.\nAnswer: 347.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -15. Let r(h) = h. Let c(b) = 3*b. Let w(x) = -4*c(x) + 11*r(x). Let n be w(-3). Solve -o*t + 8 = -5*k, n*k + 0*t + 7 = -t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -0.2743 (b) 3 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1\/2*4 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 9, o: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c - 7*c + 9*c - c. Let x(s) = s**2. What is x(q(j))?\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**4 - 23993352*b**3 - 707288263*b**2 wrt b.\nAnswer: -168*b - 143960112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58038 * -63.\nAnswer: -3656394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 10 + 199*i - 12 - 121*i - 77*i.\nAnswer: i - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -187*d - 13. Calculate the smallest common multiple of j(-1) and 11.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -11. Suppose -n*a = 2*u - 5*u + 22, -4*u + 21 = -a. Calculate the lowest common multiple of u and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6028, 6091, 6156, 6223, 6292, 6363?\n\"Answer: a**2 + 60*a + 5967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 10.123.\nAnswer: 4.0492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 14 = 5*q, -26*z + 27*z - 4*q = -13. Suppose 0 = z*v - 4*u - 9617, 2*u = -2*v + 4*u + 6408. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 0*c - 119 + 106 - 90 + 103.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(300)\/sqrt(6).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (22 - 2) + 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:02 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*g**2 + 30*g**2 + 7*g**2 + 1 - 9*g**4 to p*g**2 + c*g + s*g**3 + q*g**4 + h and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*l - 5 = 0, -2*u - 3*u - 3*l = -28. Suppose 5 = -8*s + 3*s. Let p be s\/(1\/(-1 - -2)). Sort u, -5, p in ascending order.\nAnswer: -5, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2436444 and -26\/3.\nAnswer: 2436444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4851104, -3, -4 in decreasing order.\nAnswer: 4851104, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1405\/18 or 78?\nAnswer: 1405\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -1163.\nAnswer: -5815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wcp when three letters picked without replacement from {p: 1, w: 1, c: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from apppaaqyaqaqqapaqa?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13683 + 13571.49. Let h = 114 + s. What is h rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34 - (0 + 3)\/3. Let g = 40 - s. Let j(x) = -9 - 12*x - 1 + 22*x + g*x**2 - x**3. Determine j(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 5*u - 1584 = 0. Suppose -58 + u = -2*x + 3*b, -5*x - 3*b - 257 = 0. Let v = -44 - x. Solve 4*t - 5*y = 17, -2*t - v*y - 24 = -y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**5\/60 - w**4\/6 + 2*w**3\/3 - w**2\/2 + 2. Let p(x) be the second derivative of c(x). What is p(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-36)*w)\/(w*w**26)*((w*w**(-3\/8)*w)\/w*w)\/(w**(-2\/71)*w) assuming w is positive.\nAnswer: w**(-34845\/568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 373742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 154 = -130. Suppose 5*l + r = 2*t, 3*t = -4*l + 277 + 103. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -1011200?\nAnswer: 1011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 5*j**2 + 9)*((-2 + 5 - 1)*(3 - 3 - 2*j) - 10*j - 22*j - 7*j) as t + g*j**3 + b*j**2 + u*j and give g.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 54. Let k(w) be the second derivative of 1\/80*w**5 + 0 + 0*w**3 + 1\/120*w**6 - v*w - 1\/168*w**7 - 1\/48*w**4 + 0*w**2. Factor k(t).\nAnswer: -t**2*(t - 1)**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -87*j + 37. Give k(-5).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0812? (a) -2 (b) -5 (c) -1\/473407 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -731 divided by -2?\nAnswer: 731\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Suppose 3 = -m - 5*z - 27, -2*m = 2*z + 12. Sort -6, m, x, -4 in ascending order.\nAnswer: -6, -4, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.29 - -0.19. Let g = 229\/5 + -46. Let l = 254 - 2796\/11. Which is the nearest to -0.1? (a) l (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12247*k - 12247*k - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 363*g + 424*g + 2 - 647*g - 2 in the form f + u*g and give u.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8457 - 75?\nAnswer: -8532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/78 in -2\/5, 2, -2025?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -1265, -2267, -3245, -4193, -5105, -5975?\nAnswer: -6797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 6:44 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 4*i + 7. Let q be x(5). Suppose -5*n - 3*j = j - 298, 0 = -5*n + q*j + 316. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 0, -5.\nAnswer: -6, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*a = 14*a + 79 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*c - 1)*(6 - 7 + 12)*(0 + 3 + 2)*(-1 + 3 + 0) in the form i + s*c and give s.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -980238?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5 - 7. Let a be (-3)\/(-2)*4\/3. What is the greatest common factor of d and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -200248, -398492, -596736?\n\"Answer: -198244*f - 2004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283417.\nAnswer: 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.336417?\nAnswer: -1.009251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 1338e349?\nAnswer: 1338e34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 0.5, 1\/5, -1\/7, -711 in descending order.\nAnswer: 0.5, 1\/5, 0.03, -1\/7, -711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 3*s - 6*s)*(275*s**2 + 233*s**2 - 418*s**2)*(2*s - 2*s - 2*s).\nAnswer: -180*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and 0.4?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.96 + 1.112. Let r = t + -0.352. What is the third smallest value in r, 2, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3332221 + 12310?\nAnswer: -3313311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**6\/10 + 35*p**4\/12 + 8*p**3 - 109*p. Find the second derivative of y(o) wrt o.\nAnswer: -36*o**2 + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11373879*v**6 - 8155*v**2 - 2*v - 36 wrt v.\nAnswer: 1364865480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388 (base 14) to base 16.\nAnswer: 2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4023\/(-149) + 106\/15 - -19?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/5 - 8094*v**3\/5 - 16394389*v**2\/5 - 13096092*v - 13089620.\nAnswer: -(v + 2)**2*(v + 4045)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/7, 1\/6, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38558, -77113, -115668?\nAnswer: -154223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 172418, 344819, 517220?\n\"Answer: 172401*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12611 (base 11) to base 2.\nAnswer: 100011001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q + 9. Let r = 1 - 3. Let s(m) = -m - 2. Let d(a) = r*b(a) - 9*s(a). Let p(t) = -3*t + 3*t + 3*t. Give p(d(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(((-6)\/(-2))\/(-3))*2. Suppose -n + 84 + 160 = q*v, -3*n - 468 = -4*v. Calculate the greatest common divisor of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -712112*r**5 - 5*r**2 + 3*r + 12659937?\nAnswer: -14242240*r**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/(-72) - 12\/36 and -17.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**2 - h**4 + 5*h**2 + (-h**4 + h**4 + h**4)*(1987 - 827 + 1385).\nAnswer: 2544*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Round -18349.85414 to the nearest ten.\nAnswer: -18350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 28. Solve h = g*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81*(-3)\/(-351)*2*2\/(-6)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 24159430\nAnswer: 3\/24159430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51902135 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lem when three letters picked without replacement from eumlstte?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 4:58 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 14*t**2 + 656*t - 8528. Determine j(13).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dd - 0?\nAnswer: dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 8*d**2 + d - 1. Give h(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooooookoooko?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -240141032340?\nAnswer: -240141032334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2. Let a = -22 + 22. Suppose -5*q + 66 + 154 = a. Let o(f) = -87*f**2 + 45*f**2 + q*f**2. Determine b(o(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -2*w - 5*n + 27, 0 = -2*w - 3*n + 303. What is the remainder when 594 is divided by w?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*q + 11 = -6, 4*k - 4*q = 20. Suppose 4*v - 2 = k*v. Put 0, -4, v in descending order.\nAnswer: v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0*b**2 - 5180*b + 10364*b - 20 + 18 - 5185*b - 5*b**2. Let i(l) = l - 3. Let r be i(0). Determine h(r).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 20*h**2 + 18*h - 10. Let j be o(-19). Suppose -1662 = j*n - 15*n. What are the prime factors of n?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 763 = 3*p - 3727, 4940 = 5*n - 3*p. Calculate the smallest common multiple of n and 572.\nAnswer: 10868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 16*k + 55. What is l(15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -620243\/355 + 8723\/5. Which is bigger: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 8333.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {t: 1, u: 9, j: 1, i: 1, m: 1, l: 4}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - -22. Let o = -23 + p. Let j = o + -2.3. What is the second smallest value in -0.1, 5, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*i + 1. Let u(z) = -z**3 + 2*z**2 - 2*z - 2. Let m be u(i). Let f = 6 + m. Which is the closest to -2? (a) 0.5 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8210, 13921, 19632?\n\"Answer: 5711*b + 2499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -192, -2\/41, -11565?\nAnswer: -11565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000804 to five dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 6. Let u = -1607\/12904 - 3\/6452. Sort c, -0.4, u, -4 in increasing order.\nAnswer: -4, c, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 = 4*a. Let s be 88\/182 - a\/14. Let q = s + -4\/39. What is the closest to q in 3, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y + 10. Let x(s) = 7*s - 12. Let u(z) = -3*k(z) - 2*x(z). What is the smallest common multiple of 8 and u(6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 6. Let p be n(8). Suppose -2*c + 121*c = -357. Suppose 0*u - 4*u + 8 = 0. Put u, c, p, 0 in descending order.\nAnswer: p, u, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189 - 155. What is the remainder when 133 is divided by n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3900\/(-182))\/5*(-112)\/24.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9234982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 5\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6340759 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30.237 and 323185.\nAnswer: 323154.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 7327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 4:29 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z - 13. Let p be j(3). Let c(w) = w**2 - 3*w + 9. Let y(d) = -d**2 + 4*d - 13. Calculate p*y(m) + 7*c(m).\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u + 547 - 4*u + 80 + 502 in the form t + o*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11257809163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4840 = 4*x, -2*x + 3*r = r + 2424. Let z = -568 - x. Suppose -972 = -4*t + z. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2709 = 4*x - 0*x + 3*u, u = -3. Let o = x + 678. Solve -3*s = 4*w - 23, w - 21 = -2*w - o*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -447*y**3 + 22*y**2 + 103*y + 23. Is p(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/3, 1\/1949, -0.5, -1 in descending order.\nAnswer: 10\/3, 1\/1949, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q, 0 = -2*m - 5*q + 2*q + 1. Let b be 47\/(-329)*((-19)\/2 + m). What is the closest to 0 in b, -2\/3, -0.08, 0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 b when four letters picked without replacement from {t: 4, y: 4, v: 10, b: 1}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (sqrt(68)*2*-1 + sqrt(68) - sqrt(68))\/sqrt(4)) + 5*(3 + ((sqrt(204) - -1*2*sqrt(204)) + sqrt(204))\/sqrt(12)).\nAnswer: 6 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -8, -24, -56, -110, -192?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 964*j + 38178. What are the prime factors of w(0)?\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001597 to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1906*j + 499. Is w(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*x**2 - 54 wrt x.\nAnswer: -70*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t + 4. What is s(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*q + 42 = 5*a + 52, -6*a + a = -8*q + 5*q + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 139 - 21 = 0. Suppose 15*p = i*p - 2. What is the tens digit of 120\/p + (11 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7646 + 875?\nAnswer: -6661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357152 is divided by 1134?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -25. Let c(u) be the third derivative of -u**6\/120 - u**5\/12 + 3*u**4\/8 + 5*u**3\/6 - 135*u**2. What is c(t)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 256862, 256847, 256820, 256781, 256730, 256667, 256592?\n\"Answer: -6*l**2 + 3*l + 256865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = -3*z. Let g(w) = -2*w**2 + 7*w - 1. Let y be g(3). Let d = y + z. Which is smaller: 1\/6 or d?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -116. Let k = 57.511531175 - 8.511530405. Let z = b + k. Round z to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**3 - 1\/2*q + q**2 + 1\/2*q**5 + 0 - q**4.\nAnswer: q*(q - 1)**3*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 5:56 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 8:34 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:34 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 - 95*g = 0 for g.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 346, 121, 3, -1\/2?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is the tens digit of (-4)\/(-2) + 276\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*3128024.\nAnswer: 5004838.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388370061.\nAnswer: 3, 53, 814193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -13.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 4*q = -57. Suppose -q*f + 6469 = -2*u, -3*f + 7*u = 3*u - 6479. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.57 and -0.6.\nAnswer: 0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 17?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l + 1. Let c be p(1). Solve c = -o - 0 + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 2, p: 2, y: 1, g: 4}. Give prob of picking 2 i.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4956 and 456.\nAnswer: 188328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/24)\/(9\/(-36)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(2448) + -4*(sqrt(2448) + 2 + sqrt(2448)))**2*6 + -3) + -2.\nAnswer: -2880782 - 36288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 - 3*j + 2. Let l be h(4). Let t = -59 - l. Calculate the remainder when t is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 - 3033600366677 + 3033600366677.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 295*a**2 - 39025*a + 790125.\nAnswer: 5*(a - 35)**2*(a + 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -b2 (base 15) in base 8?\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -379*q + 2619 + 1929 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -18*i**2 + 242*i + 52. Let f(z) = 2*z**2 - 27*z - 6. Let a be (-1 + (-63)\/(-75))*5*-65. Let t(v) = a*f(v) + 6*l(v). Solve t(u) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -4\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4\/4)\/((-3)\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370920.\nAnswer: 2, 5, 34273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12730 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 + -0.03. Which is the nearest to -0.3? (a) l (b) -0.21 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752 + 6*i**2 - 2255 + 753 + 750.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 1656854245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: b\"What is the uth term of -215, -225, -229, -227?\n\"Answer: 3*u**2 - 19*u - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 + 3)*12\/(-9). What is the highest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v = -4*f - 1, -4*f - 16 = -4*v. Solve -b - 3*z = z - 18, 5*b - 22 = -v*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190 divided by 26.\nAnswer: -95\/13","meta":{"dup_signals":{},"source":"arithmetic__div_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: Calculate prob of sequence tvoo when four letters picked without replacement from votootvvottoootott.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 4*c + 35 = 0, 5*c - 38 + 83 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/3, 3, 0, 4\/3, -0.2 in increasing order.\nAnswer: -4\/3, -0.2, 0, 4\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*x + 3*x - 3, 0 = -x. Let s(n) = -4*n + 20. Let h be s(8). What is the lowest common multiple of (-1)\/((-3)\/(h\/(-2))) and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 25*c**2 - 28*c + 149. Give n(21).\nAnswer: 1325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 12:07 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -3*t - 50. What is the third derivative of -r**5 - 49 + 13*r**2 + 26*r**t - 15*r**2 wrt r?\nAnswer: 1500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -219*y + 29. Let q(l) = l**2 - 217*l + 22. What is 3*j(x) - 4*q(x)?\nAnswer: -4*x**2 + 211*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3 - (-1)\/3)*(-872)\/9156\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*d**2 + 25*d**2 - 5*d**6 - 2*d**6 wrt d?\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 588675?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -30 and -486\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -22219 = -155535\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 2\/17 (b) -119 (c) -3\/5 (d) 5\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 + 3*z**3 + 402494 - 402539 + 2*z**2 - 2*z**2 + 2*z as g + r*z**2 + u*z**3 + a*z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 + 3*n + 13. What is h(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a + 832 = -4*w, -3*w = -3*a + 603. Let i = -199 - w. Calculate the least common multiple of i and (-4)\/(-10) - (-36)\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 7472*b + 22380.\nAnswer: 4*(b + 3)*(b + 1865)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (9 + -18 + 9 + -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-3)*1)\/((-2)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 423008225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -26. Let q(k) = -k**3 + 8*k**2 - 3*k - 8. What is the remainder when (-6)\/(p\/219) + 5 is divided by q(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*a + 146 = 0, 429726*q = 429724*q + 4*a - 128 for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3037, 12148, 27329, 48580, 75901, 109292?\n\"Answer: 3035*b**2 + 6*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*x, -18 = -2*x + 4*z - 0*z. Suppose 4*a + 3*d = 51, -d - x = -2*a + 20. What is the least common multiple of a and ((-8)\/(-10))\/((-1)\/(-10))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 2. Let z(s) = -s**2 - 9*s + 5. Let w(n) = -10*p(n) + 4*z(n). Find j such that w(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/6 + 197*r**2\/6 + 4964*r\/3 + 24854 = 0. What is r?\nAnswer: -129, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 42\/157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/12 and 82\/2865.\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2243166941 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15384897887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -446, -669, -892?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 18\/175?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 4*r**2 - 3*r. Let v(c) = -6*c - 27. Let w be v(-5). Determine z(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 62*h = -58*h - 5210, -2*x + 5220 = -h. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6925 and 9972?\nAnswer: 249300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 - 192*z + 21199. What is the tens digit of t(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2648922\/(3 - -3))\/((-6)\/((-24)\/4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 10*x - 20. Let t be u(-4). Suppose n = 5*j + t*n - 86, -j - n = -18. Suppose j*l = -759 + 4647. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 17*w + 1884. Is q(16) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/2 - 4699295*d**3 + 22083335902633*d**2\/2 + 88333569176820*d + 176667288731208.\nAnswer: (d - 4699299)**2*(d + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18765 + 18806. Calculate the smallest common multiple of w and 1763.\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*s + 4 + 21, 4*s + 23 = 5*i. Suppose 0 = -4*p - 0*p + 8. Suppose 2*l = -2*u + 8, -i*l + p = -1. Solve -3 - 6 = -u*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2219250 to the nearest ten thousand.\nAnswer: 2220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(12)*1 + (2*sqrt(3))**2 + 0).\nAnswer: 6*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131\/7 - -19. Factor 2\/7*t**5 + 0 + 4\/7*t**4 - 4\/7*t**2 - w*t + 0*t**3.\nAnswer: 2*t*(t - 1)*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 10*t**2 + 2*t - 23. What is v(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n**5 - n + (3 + 2 - 3)*(-3*n**5 + 4*n**5 + n**5))*(25 + 34 - 63).\nAnswer: -24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22798.\nAnswer: 2, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 221206 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1902 - 804. Calculate the highest common factor of 36 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9709 is divided by 1387.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/2 + 1560*t**3 + 2668767*t**2\/2 + 178387210*t - 547213242 = 0?\nAnswer: -1478, -167, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/281 - 305\/3372. Let l be (-589)\/(-380) + 3\/(-4) + -1. What is the second biggest value in 0.3, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4455 + -4475.1. Which is smaller: y or -7\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.76 - 0.24. Let w = f - -20. Is w equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 77\/56307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003816470066 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 66*f - 147. Calculate a(4).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 16*t + 19*t + 12*t - 45*t. Let l(f) be the third derivative of 19*f**4\/24 - f**3\/6 + 61*f**2. Determine o(l(i)).\nAnswer: 38*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5798329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**2 + 3*v - 3. What is s(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31849650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 23*o**2 + 25*o + 28. Let x be (-1)\/(-6)*-8*18. Let s be q(x). Suppose 7*r = -s*r + 44. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1943, -3757, -5431, -6965, -8359, -9613?\nAnswer: -10727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnnf when four letters picked without replacement from {f: 3, x: 2, n: 2, o: 1, p: 10, w: 1}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 33. Let t be z(16). Let m = -13 + t. Suppose m*x = 2*w - 10, 2*w - 4*x = -9*x - 17. Which is smaller: -8 or w?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 332893\/5, 6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93501431 to the nearest integer?\nAnswer: 9670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + u + 8 = -7, 3*s - 3*u - 18 = 0. Suppose -f + 24 = h, 0 = 5*h - 0*f - s*f - 80. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*z + 10439 + 25525 = 0 for z.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2914*n = -2906*n - 26, 0 = -2*b - 3*n - 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n + 21. Suppose 0 = -2*i - 2*x + 60, 2*i - n = -x + 36. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*50\/(-25).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23569 in 2, 1.5, -2, -1, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -6421?\nAnswer: -6422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, o: 1, z: 3, u: 4, m: 2, h: 1}. Give prob of picking 1 z, 1 u, and 1 m.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 s when three letters picked without replacement from sppppsssspspppps.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 107*j - 558. Calculate the remainder when 146 is divided by l(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1106, 4508, 10198, 18182, 28466, 41056, 55958, 73178?\n\"Answer: a**3 + 1138*a**2 - 19*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1856 and -79\/78.\nAnswer: 72384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 7*r**2 - 2*r + 8. Let w(j) = 2*j**3 + 7*j**2 - 3*j + 7. Let h be 5\/(-10) + 5\/2. Let k(s) = h*m(s) - 3*w(s). Is k(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2086 and 216.\nAnswer: -450576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 0 - b**2 + 0*b + b**3 + 5\/4*b**5 + 13\/4*b**4 = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**5\/7 - 6*p**3\/7 + 4*p**2\/7 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + 1965*y**2 + 41364*y + 39411. Give j(-961).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/((-2 - 3) + (-715)\/(-140)). Solve -18*g = -21*g - y + 14, 0 = -2*g - 3*y + w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 13*s**3 - 6*s**2 - 7*s + 7. Let m(h) = h + 20. Let o be m(-18). Let c(z) = -4*z**o - 438 - 7*z + 9*z**3 + 443 + 2*z. Calculate 7*c(l) - 5*q(l).\nAnswer: -2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/50)\/(-12*1\/(-20)). Let j(b) be the first derivative of 0*b**2 + 1\/3*b**3 + 0*b + p*b**5 - 5 + b**4. Let j(y) = 0. Calculate y.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13, -4, -3462 in descending order.\nAnswer: 13, 2, -4, -3462","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-8)*-2)\/(0 - -1). Suppose -4*u = -f + 2919, -5*f + z*u + 14499 = 9*u. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 = f, 2*f + 0*y - y - 30 = 0. Let p be (6\/5)\/(6\/f). Let t(z) = -3*z**2 - 4*z**2 + p*z**2 - 7 + z**3 - 3*z. What is t(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2124893mg in grams?\nAnswer: 0.0002124893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*t - 2 + t**4 - 2 + 3 - 3*t**3 - 79*t in the form j*t**2 + r*t**4 + a + u*t**3 + c*t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21798928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*l - 2. Let g(c) = -5*c + 9 + 14 - 5 + 3*c. Calculate the least common multiple of g(4) and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -753.928 rounded to the nearest ten?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 376.6 * -405.\nAnswer: -152523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11201 (base 4) to base 10.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3451*h - 1338.\nAnswer: -3451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2736805 at most 2736784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cauacaf. What is prob of picking 3 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 27*l**2 - 48*l - 29. Determine o(29).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9671252.5 to the nearest one hundred thousand.\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -7, -2, 7, 20?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, 120, -2\/13 in ascending order.\nAnswer: -2\/13, 4, 12, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 160 = -3*k, 2*d - 20 = d - 3*k. Suppose -71*q + 5072 = -55*q. Suppose -11*o + q = 196. Calculate the remainder when d is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, v: 1, a: 10, l: 2, k: 2}. Give prob of sequence vlu.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -37 (b) 3\/5 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944425129 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let l(v) = 75*v. What is o(l(p))?\nAnswer: -150*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -36, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.4, 0, 46, -1780, 3\/5 in decreasing order.\nAnswer: 46, 3\/5, 1\/3, 0, -0.4, -1780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, f: 2, m: 1, p: 1, e: 4}. What is prob of sequence ew?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 63 = 117. Suppose 0 = -2*a - a + x. Let z(o) = 2*o + 10. Let v be z(-3). Solve a = -y + v*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2823479 divided by 5.\nAnswer: -2823479\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -6) + 22 + -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*g - 72 = 12 + 17 + 49 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a5378a (base 12) in base 5?\nAnswer: 1131121143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 5:34 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4321333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19147 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 9*g - 14*g = -3*g - 6*g - 22, 4*m + 2*g + 16 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.925 - -1.025. Is q >= -604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 18. Suppose r = -5*u - 0*u. Let f be -1*(-1)\/u*0. Which is bigger: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 7*m + 31, -6 = 2*m - 2*u - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.2 (c) 0 (d) 1370 (e) -7 (f) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -161, -109, -9, 1, 5.\nAnswer: -161, -109, -9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 2. Let z be t(2). Solve 6*s = z*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 491, 492, 481, 452, 399?\n\"Answer: -i**3 + 8*i + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*a = 229, -n + 6*n - 275 = -4*a. What is the remainder when n is divided by (-2 + 15)\/(1\/1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 x when three letters picked without replacement from {x: 4, s: 1, h: 3, v: 2, d: 3, r: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 756*c - 4 + 11.\nAnswer: 756*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 5 = 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 88*x - 92.\nAnswer: 4*(x - 1)*(x + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 16) to base 13.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910*c + 65*c = 10725 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*m - 5*m - 1660, -5*m = -y - 404. Which is smaller: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -u - u = j - 3*u - 26, -18*j - 7*u = -44*j + 14*j + 207 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 11*w**2 - 2*w. Give c(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 + 6*l + 278 - 48996*l**3 + 48998*l**3 - 2*l**2 - 5*l to the form x*l**3 + f*l + j*l**4 + h*l**2 + g and give g.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(25)\/sqrt(5))*-2)\/((sqrt(2) + -3*sqrt(162))*6))**2.\nAnswer: 1\/3042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 37. Let a be -6*b\/(-24)*(6 - 0). Suppose 2*h = -a*h + 935. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185.12 - -187.12. Let g = 43\/3 - 14. Let b = 0 + 0. What is the nearest to b in -0.2, g, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 692335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-6))\/((-1)\/6). Let d = q - -23. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43013403 (base 5) in base 12?\nAnswer: 15473a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83524 is divided by 282.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 - -196. What is the smallest common multiple of 114 and i?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/(-287))\/((-4)\/(-2))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 7:54 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124081377 is divided by 180.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -1\/3 (c) -0.5 (d) 0.5 (e) -0.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 135887. Is p(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8 + 0*g + 1 - 12 - 20*g. Suppose 5*w = w - 16. Is h(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16934, 67790, 152566, 271262, 423878?\n\"Answer: 16960*f**2 - 24*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let -22*x**3 - 22*x**5 - 75*x**2 + 87*x**3 - 17*x**5 - 3*x**4 + 34*x**5 + 18*x**4 = 0. Calculate x.\nAnswer: -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2963 + 1505. Which is bigger: g or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2538854705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**3 + 2*x**2 + 55*x - 162. Let w be f(5). Calculate the highest common factor of 1449 and w.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103603 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 129 = -3*q, -45 = -p - q - 18. Suppose 59*m = 51*m + p. Solve -m*v - 6*z + 4*z = 8, -z = 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 16*l. Let p(y) = -1187*y. Give i(p(x)).\nAnswer: -18992*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 140\/35 - 252\/62. Let b = -3.78 + 3.68. What is the closest to b in 0.4, 2, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 76175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 189558 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, b: 6}. Give prob of sequence bp.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 1 - (60 - 37).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/36)\/(58\/464)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 12 + -35 - (-12 + -8 + -7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 1. Let y be n(1). Suppose q = 10 - 5, 2*x + 2*q + 110 = y. Let m = x + 131. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/15 + k**5\/3 - 2*k**4\/3 - 2*k**3 - 45*k**2 - 2. Factor h(f).\nAnswer: 4*(f - 1)*(f + 3)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = -8, 0 = -2*k - 2*d - 4. Solve 2 = -k*w + 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145 + 145.3. Let w = 0.6 - 0.3. What is the nearest to y in -2, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v - 30*v = 27*v - 2580. What is the least common multiple of 903 and v?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*l = 369, 2*b + l - 378 = -b. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 187*q - 190*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -35 times -10\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = 3. Suppose -2*g = 3*g - 2*b + 29, -g = b + l. Sort -1, g, 4, 0 in descending order.\nAnswer: 4, 0, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - p**2 - p**4 + (0*p - 4*p**2 + 0*p)*(0*p**2 + p**2 + 0*p**2).\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.52715 hours in seconds?\nAnswer: 279097.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - p - 4*p**2 - 3*p - 3*p**3. Let d(f) be the second derivative of f**4\/12 + f**3\/6 + 67*f + 1. Determine 4*d(l) + w(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -7*y**2 + 6*y + 2. Let i(s) = 21*s - s**2 - 42*s + 22*s. Determine -c(p) + 5*i(p).\nAnswer: 2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*g*u**4 - g*u**3 - 285*g*u**2 - 69084*u**4 + 3*u**2 + 870*u wrt u?\nAnswer: 192*g*u - 6*g - 1658016*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + 0*i + 2*i)*(1 + 0 + 1) - 5 + 5 + 5*i)*(3*i**3 - 4*i**3 + 2*i**3).\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6 - (-573)\/4) + (-6)\/(-8) is divided by 47.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 378 + -381. What is the closest to 1 in 1, 0.4, q, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 (base 12) in base 8?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.0607, -3\/4 in ascending order.\nAnswer: -3\/4, -0.0607, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 63, -45, -271, -657, -1245?\nAnswer: -2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -543\/5 - -108. Let b = -2 + 5. What is the nearest to 1 in b, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-13 - ((-189)\/14 + 8)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (40 - 72) - 35?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 4*x**3 + x**2 + 4*x.\nAnswer: -x*(x - 1)*(x + 1)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - -558) + 42\/(-42).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d + 82. Let i(v) be the first derivative of 2*v**2 - 28*v + 24. Let p(h) = 3*a(h) + 8*i(h). What is the derivative of p(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from jxinjnnwjnj?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -105 and -777.4?\nAnswer: 81627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2221 + 2221 + 3*q**3 + 2*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(60)\/(sqrt(24)\/sqrt(2)) + sqrt(20)\/sqrt(4)*2.\nAnswer: 1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -116, -3, 2, 0 in increasing order.\nAnswer: -116, -3, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2351 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 81. Suppose -3*c + 20 + 10 = -5*f, 0 = -3*c - 3*f + 6. Let a(b) = -b**2 + 5*b + 5. Let j be a(c). Calculate the greatest common factor of j and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose 4*g = 3*w - 115, 5*w + 0*g = -4*g + 245. Round w to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 552\/10 + 1 + (-4)\/20. What is the greatest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, o: 3, b: 3}. Give prob of picking 1 o and 1 b.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -q + 2*p, 3*q = 175*p - 178*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 0 + 22*l**2.\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1599038, 3198080, 4797128, 6396182, 7995242, 9594308?\n\"Answer: 3*j**2 + 1599033*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 277403 (b) 9\/11 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 52 + 17 = 3*v, 5*f + 94 = 4*v. Let s be 6\/v + 48\/28. Solve k + 2 = -s*y - 3, -k - 3*y = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-2)\/8*(137020\/(-2925))\/(-31)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*q + 21. Let b be -9 + (-13 - -3 - -14 - -5). Put b, 1, 5, q in increasing order.\nAnswer: b, 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -57404, -459343, -1550322, -3674861, -7177480, -12402699, -19695038?\n\"Answer: -57420*c**3 + c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 5*t**3 + 3*t**3 + 6*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -10\/11, -264, 2\/15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702 = 5*c - 158. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u**2 + 16*u + u)*(3*u + u - 7*u)*(-14 - 14 + 22 + (0 + 2 - 1)*(0 - 6 + 3)).\nAnswer: 54*u**3 + 351*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let i = 13 + -8. Suppose 4*u - i*t = 3*u + 21, -4*u - t = 0. Is u less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 350 = 5*w, 6*w - 82 = -n + w. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -109?\nAnswer: 54.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527 - 228 = -99*j + 457 + 1263 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -13*n - 251. Let d be r(-26). Calculate the greatest common factor of 203 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-510)\/25)\/(16\/1735). Let k = w - -2215. Calculate the common denominator of (5\/12)\/((-3)\/(-114)) and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5834510 + -10162.\nAnswer: -5844672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 40662*g**2 + 1296*g - 2592. Let h(s) = -157*s**2 - 5*s + 10. Let o(k) = -1296*h(k) - 5*q(k). Let u(l) = 2*l**2. What is o(u(y))?\nAnswer: 648*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/12689 or 1?\nAnswer: -2\/12689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -24)*576\/2736. Suppose -3*p = 2*f - 17, f + 2*p = -0*f + 8. Calculate the highest common divisor of m and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - -12)*(-2)\/2*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)\/(sqrt(8)*3))\/(sqrt(20)\/(sqrt(12)\/sqrt(6))))**2 + (sqrt(105)\/sqrt(3)*4)\/((-2*sqrt(70))\/sqrt(10) - sqrt(7)).\nAnswer: -4*sqrt(5)\/3 + 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(45\/(-6) + -2). Suppose 2*t + 0*t = z. Solve -3*h - t + 7 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*l - 4 - 281*l + 5 - 225*l - 1.\nAnswer: -667*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -23. Let n(y) = 2*y + 3. Let l be n(h). Suppose -l*a - 2*a + 32 = 3*s, 5*s - 4 = 4*a. Solve r + 16 = -s*j, 0 = 2*j + j + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -37. Solve 8 = -4*n + 4*q, -2*n + i*q - 4 = -4*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 6:27 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8437 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o. Let m(c) = 5*c. What is a(m(g))?\nAnswer: -75*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10336.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9995, -19903, -29733, -39485?\n\"Answer: 39*x**2 - 10025*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 22*d**2 + 1732*d + 117. Give a(-32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/5, 5, 0.08, -54, -1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -346 - 12\/3 - 4. Let v = -115 - x. Suppose 0 = 4*g - 5*p - 186, 2*g = -3*g + 3*p + v. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*9 + (-28673)\/2164.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20.83 * 109599\nAnswer: -2282947.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 281342?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -5*s**3\/3 + 62. Let z(c) = -30*c - 2. Calculate p(z(l)).\nAnswer: -4500*l**2 - 600*l - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41137 - -164549\/4. What is the closest to 12 in -0.1, 4\/3, l, -1\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 37, 2\/7, 2\/3, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16855 + 22383. List the prime factors of b.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 24. Determine x(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/256 and -17\/36615584?\nAnswer: 292924672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18681)\/(-57480))\/((-2)\/(-16)*2).\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = -1. Suppose -5*d + t + 12 = -c*d, -13 = -2*d - t. Is d\/2*(-5 - -9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 233 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/255468 and 94\/2745?\nAnswer: 3832020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q, -x + 2*q - 68 = 0. Let c = 79 + x. Suppose 0 = -c*j + 8*j + 285. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/12 + 3*w**2\/2 + w + 2. Let d(n) be the first derivative of o(n). What is the units digit of d(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**3 + 0*u**3 + 0*u**3 + (-2*u**3 + 1 - 1)*(-6 + 247 + 307) as r*u**3 + w + t*u**2 + i*u and give r.\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from fkffffkffffff.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 117*s**2 + 1440*s - 5376.\nAnswer: 3*(s - 16)**2*(s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 6*w + 3. Let i be m(-6). Solve 0 = -i*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.936 - -0.036. Let r = -26 + 26.3. Which is the smallest value? (a) k (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046452?\nAnswer: 2, 11, 17, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v + 11 = -20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-2))\/(2\/(-4)). Let u(d) = 3*d**3. Suppose 2*y = -3*j - 3, -3*j - 2*j - 25 = 0. Let i = -8 + y. Let a(v) = 7*v**3. What is i*a(c) + s*u(c)?\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -0.3287.\nAnswer: 3.6713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5325.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18534 + -18295. Solve 18*u = 185 - l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y - 1. Let p(s) be the third derivative of -3*s**4\/8 + s**3\/3 + 4*s**2. Let v(q) = 14*k(q) + 6*p(q). Differentiate v(x) with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1350 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h + 1643 + 17833. Let l = 6475 + h. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as -0.45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arar. Give prob of picking 2 a and 1 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -25, 0.09 in increasing order.\nAnswer: -25, 0, 0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-1\/8)*z\/((z*z**(1\/2)*z)\/z)*z**(-10) assuming z is positive.\nAnswer: z**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - 52*l - 14. Determine f(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -2*x**7\/21 + 19*x**3\/3 + 9*x**2. What is the derivative of w(s) wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -73, -290, -661, -1192, -1889, -2758, -3805, -5036?\n\"Answer: -q**3 - 71*q**2 + 3*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 4:46 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/30 + 11)\/((-16)\/18).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 3*i - 44 = 0, 544*i - 546*i = 3*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5456 and 528?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = 36. Calculate the greatest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -1\/12*m**4 + 0 + 1\/6*m**3 + 0*m + 2*m**2. Determine z(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 + 11 = -63*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 a when four letters picked without replacement from {a: 3, m: 3, d: 5, w: 6}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (325\/(-210))\/13*44\/(-55)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32638 - 2937553\/90. What is the common denominator of p and -14\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*k - 6 = 3, 2*c + 5*k = 21. Solve 1 = 4*b + 4*p - c, b + 5*p = -15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, i: 1, t: 2, h: 1, r: 1}. Give prob of picking 1 u and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.8 - -11.1. Let y = z - -14. Let f = -4 + 2. What is the third biggest value in 0.2, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1166, 1144, 1124, 1106, 1090?\n\"Answer: r**2 - 25*r + 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3303, -6678, -10107, -13596, -17151, -20778, -24483?\n\"Answer: -p**3 - 21*p**2 - 3305*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 49 + 23. Suppose -5*v + 2*k + a = 0, -2*v + 5*k + 45 = 3*v. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (847 - 839 + 18*d + 22*d)*(d**4 - d**3 + d**3).\nAnswer: 40*d**5 + 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 15*f + 30. Suppose 5*w + 15 = 0, 52 = 4*s + w + 3*w. Let a be k(s). Solve 4*z + d = -14, -4*d - a = 2*z - 0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) 1437 (c) 2 (d) 18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 18 = 2*b. Suppose -3*q - 14 = -119. What is the remainder when q is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/7 - 1840*g**3\/7 - 868023*g**2\/7 - 2820248*g + 20611600\/7 = 0.\nAnswer: -908, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*54\/210)\/(((-405)\/50)\/(-27)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-140)*2)\/(144\/504). Put 0.2, -2\/3, x in decreasing order.\nAnswer: 0.2, x, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((((sqrt(80)*-1 - sqrt(80)) + sqrt(80))*3)\/sqrt(5))\/(sqrt(72)\/(sqrt(90)\/((sqrt(50)\/sqrt(5) - sqrt(10)) + sqrt(10)) + sqrt(9))).\nAnswer: -6*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(2) + -5 + sqrt(32) - (sqrt(36)\/sqrt(3))\/sqrt(6))*4 + (-3 + sqrt(98)*1 - (sqrt(98) - (sqrt(98) + (-1 + sqrt(98))*3))))*-3)**2.\nAnswer: -20592*sqrt(2) + 40932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u + 4. Let d(j) = 11*j + 13. Let h(w) = 6*w + 7. Let q(b) = -4*d(b) + 9*h(b). Let a(f) = -2*q(f) + 7*v(f). Determine a(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, 95, 276, 513, 806, 1155?\n\"Answer: 28*n**2 + 41*n - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/((-17)\/((-32844)\/(-736))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 6 = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1470)\/(-56))\/(3\/(-24)*-2). Let v = 131 + d. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31535.\nAnswer: 5, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164369 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 + (-345)\/(-25))*2\/(-1). Sort -1, 1\/2, 8, f.\nAnswer: -1, f, 1\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1121330?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 25*k**2\/2 + k + 6976. Let s(x) = 10*x + 7. Let r(g) = -g - 5 - 2*g - 3*g - g. Let z(l) = 7*r(l) + 5*s(l). Calculate z(f(j)).\nAnswer: 25*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15650553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + g - 2. Let n be a(1). Let h be (n + 1\/2)*-2. What is the tens digit of 9 + -3 + h + 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205 + 362. Let a be (10 - -1)*((4 - 0) + 7). Suppose 4*v - a = -3*l, -4*l - v = -0*l - y. Calculate the remainder when l is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8))**(6\/13)*(c**(-6\/13))**(-10\/7) assuming c is positive.\nAnswer: c**(-276\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 n when four letters picked without replacement from {q: 6, t: 4, b: 3, n: 4}.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -2, -2\/115, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/34)\/((-3623)\/(-10869))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283024 - 1419521\/5. Is n equal to -879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((522\/(-9))\/(-58))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*c - 98 = 0, -731*d + 11*c - 51 = -733*d for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 130968051053.6 and -87?\nAnswer: 130968051140.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72053, -72860, -73667, -74474?\nAnswer: -75281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 576\/7 - 82. Let q = 0.52 - -1.87. Let r = -1.39 + q. Is r greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - s + 251 - 235 = 0, -3*s + 15 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1531 - 1071. Suppose -458*v + u*v - 66 = 0. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + p = -8782, 1780*p - 8 = 1782*p. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(3\/5))**1 assuming w is positive.\nAnswer: w**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a + a. Let t(q) = -3*q + 4. Let c be t(a). Let i(h) = h - 5. Calculate i(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-12) - ((-52)\/(-16) - 3). Suppose -y + 4 + 1 = n. Differentiate -3*p**3 + y - 21*p**3 - 7 - 6 wrt p.\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29*(-30)\/(-580) + -674*(-53)\/4.\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + -4 + 4 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 5*j**2 - 2*j - 13. Let f be q(-3). Suppose -t + f = t. Suppose t*r + 14 = 47*r. What is the remainder when 55 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.3, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*m + 5 - 13 = -6 - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v = 410. Let z be (15\/9)\/1 + (-1)\/(-3). Let b be v\/140 + z\/(-7). Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55546389 - 32046389. What is g rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.4501198 rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 24 = -4*k, 3*l + 0*k = 5*k + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10291*k + 10291*k - k**2 + 98)*(-4*k - 3*k + 3*k) + (0 + k + 0)*(2*k**2 + 2*k**2 - 7*k**2) + k + k**3 - k as a + t*k + o*k**2 + g*k**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-748)\/704)\/(16\/(-512)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 241 or -2584\/343?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.987768 millilitres to litres.\nAnswer: 0.008987768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, -56, -2\/651, 3, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 891?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11030 - -562507\/51. Let n = v + 2\/17. Which is the smallest value? (a) -9\/7 (b) 1\/4 (c) -0.3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-8 - -24) - -19 - 48.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 + 0*x**2 - 22*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 1069526845618.\nAnswer: 1069526845618.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -5*s. Let y(a) = -a**2 - 13*a + 18. Let r be y(-13). Suppose 2*v = -k - s*v + r, 2*v = k. Solve -2*z + i = -6, 2*z = -i + 4 - k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/6 - -2 - 39\/(-78). What is the fourth smallest value in -1\/2, c, -5, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26047 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4233 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000849 rounded to five decimal places?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13942? (a) 0.5 (b) -1684 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3435 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i. Let j(l) be the third derivative of 985*l**4\/24 + 2*l**2 + 95*l + 6. Determine w(j(v)).\nAnswer: 3940*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwn when three letters picked without replacement from nnwwwwnwwnnn?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*l = -177*l + 48. Let f(w) = -w + 14. What is f(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 360, 5\/4, -0.2, 5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - a = 27, -141*q - 5*a = -147*q - 33 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 2*b**2 + 67*b + 43. Give y(10).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 124 - 20)*((-1 + 1 - i)*(-2*i**2 + 2*i**2 - 3*i**2) - 2*i**3 + 0 + 0).\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3\/2 - 74147586*u**2 - 1832621354913951*u\/2 + 1832621651504307 = 0.\nAnswer: -24715863, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34551 + -34502. Suppose 5*b = 242 + 18. Let l = b - 26. Calculate the remainder when j is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*k - 9 = 4*k, -2*j - 7 = -5*k. Let z(c) be the second derivative of 0 + 0*c**3 + 3*c + 1\/12*c**j + 0*c**2. Let p(w) = w. What is z(p(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 40952 = -3*u, 3*u - 27283 = u + 3*v. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 75*h**2 - 261*h + 189.\nAnswer: -3*(h - 21)*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*(-7 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 702978720 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 60, 123, 220, 363, 564, 835, 1188?\n\"Answer: 2*m**3 - m**2 + 30*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 2691?\nAnswer: 18837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-4\/9)*i))\/i*i\/i**12)**(2\/7) assuming i is positive.\nAnswer: i**(-208\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -616452 divided by 3?\nAnswer: -205484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 9:48 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(6048) - ((-1*sqrt(6048) - sqrt(6048)) + sqrt(6048)) - sqrt(6048))\/(-4*sqrt(6)*-2 - sqrt(6)).\nAnswer: 60*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -4, -6\/67, 5 in descending order.\nAnswer: 5, -6\/67, -0.16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8209986 years in centuries?\nAnswer: 0.008209986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - d + 1. Let l be (5 + -3)*3\/6. Let q be c(l). Suppose 4*t - q*x = 1, 3*t - x - 3 = -1. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*u + 413*u = 3*z - 44, -12 = -z - 2*u for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 60*s + 4929. What is i(-47)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 38. Suppose 0*f - f + l = 4*a, -4*a - 8 = 0. Suppose -2*n + z = -35, 2*z = 3*n - 12 - f. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.131 + 10?\nAnswer: 9.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 9:32 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*n = -n + 414, -4*a + 3*n + 833 = 0. Let d = a + -141. Suppose -2*s = -d + 16. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*u - 17, 15*u - 2*f = 13*u - 2. Suppose -u*a - 11 = -5*m, 6*m - 3*a = 3*m + 3. Solve m*i - 19 = -3*q, 6*i - 2*i + 1 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4641 and 4368?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 2*v**2 + 2*v + 4. Let a be d(4). Let k be (3*4)\/((-2)\/a). Suppose -k = -4*p - p. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyy when three letters picked without replacement from {p: 7, y: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/8, -27, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4670 - -443658\/95. Let t = 571\/1140 - h. Let y = -1 - -1. Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2478267000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**4\/8 - h**3\/3 - h**2\/4 + h - 1. Solve i(x) = 0 for x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 47. Let p be w\/18*-4 - -3. Let y = 2\/35 - 43\/140. What is the nearest to p in y, -2\/13, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + -7 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8924526 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**3 - 113*t**2\/2 + 1040*t + 445. Find the first derivative of q(v) wrt v.\nAnswer: 6*v - 113","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1575886, -3151785, -4727684, -6303583, -7879482, -9455381?\n\"Answer: -1575899*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 617 + -390. What is the remainder when s is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -126, -1, 3\/4, -0.4, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83.77*0.04769.\nAnswer: 3.9949913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let j(s) = -s**2 - 11*s - 8. Let z be j(-7). Suppose -q - 5*h = q - 18, 2*h - z = -4*q. Sort q, 0, n in increasing order.\nAnswer: 0, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21002.75 millilitres in litres?\nAnswer: 21.00275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-2)*(-7)\/(-3). Let s(k) = -k - 3. Let g be s(4). Let y = g - z. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/45)\/(-3*2\/(-30)). Find the common denominator of 39\/43 and o - (-4)\/(16\/130).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1560 divided by -60.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 - 3*x - 174. Determine d(0).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) 3 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 1:56 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/3, 3, 0.04.\nAnswer: -4, 0.04, 5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1235.9976 months?\nAnswer: 10.29998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1145272210 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {w: 3, i: 1, u: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4748 + -4440. Solve -305*q = -j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 374809749998 - 2\nAnswer: 374809749996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91258.59ml to litres.\nAnswer: 91.25859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 + 15*k + 27. Let o be h(10). Let s = o - -154. Solve 5*c = -s + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-1 + 25\/10). Solve -4*c + 7*c - 14 = 5*b, -5*c = -2*b + y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 696187100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-18) - (-8)\/3. Let b(u) be the third derivative of 0*u**4 + 0 - u**x - 1\/3*u**3 + 0*u + 1\/30*u**5. Differentiate b(m) with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 0. Let f = x + -9. Let p = f + -40.9983. Round p to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 + 51008*a\/3 + 34004.\nAnswer: (a + 2)*(a + 51006)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c81 + -21a1?\nAnswer: -4152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10312 (base 7) to base 13.\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 451.1398nm in centimeters?\nAnswer: 0.00004511398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72848 and 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qufrqruussqsf. Give prob of sequence rs.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 - 295*i - 13*i - 57*i + 155*i.\nAnswer: -210*i - 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.5 - -3. Let z = 390.7 - 446. Let r = z - -47.3. What is the nearest to 1 in -0.4, l, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -0*m + m + 3*y - 61, -4*m + 114*y = 105*y + 163 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/(-4))\/(-3)*132\/198. Let y = 0.13 - 5.13. Which is the third biggest value? (a) h (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4464)\/(-180) - 26)\/((-198)\/(-45))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12651891?\nAnswer: 3, 7, 19, 37, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -21*v**2\/2 - 4*v - 98. Determine j(-5).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53857*k**3 + 94 - 1223*k**3 - 94.\nAnswer: 52634*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3843 and 2745?\nAnswer: 19215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2445, -5720, -8995, -12270, -15545, -18820?\nAnswer: -22095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 22*i**2 - 42. List the prime factors of u(-23).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2107 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-3 - -7 - (8 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2301)\/52*(-7 + -1) - -3. What is the greatest common divisor of 231 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515*l - 520*l = -32275. Suppose 0 = -o - 2*v + 1633, -v + l + 1737 = 5*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -17*x + 44. Let v(b) = -6*b + 15. Calculate 4*d(s) - 11*v(s).\nAnswer: -2*s + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**2 - 58*k**2 + 61*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1 - (0 + 21\/(-6))). Let m = 0.026 + -27.026. Let o = m - -27.3. Which is the closest to -1? (a) o (b) n (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 859385752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-63)*(-3069)\/(-1364).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**3 - 595*u**2 - 2485*u + 3075 = 0.\nAnswer: -5, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(8\/9)*p*p*p*p**(-2\/17))**(-1\/18)*((p\/(p**(-5)*p*p))**(6\/7))**(-3\/10) assuming p is positive.\nAnswer: p**(-62347\/48195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/91)*f\/((f\/f**(-13\/4))\/f*f))\/(f**(-1\/10)\/f**(1\/12)) assuming f is positive.\nAnswer: f**(-4156\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19670, 78692, 177070, 314810, 491918, 708400, 964262, 1259510?\n\"Answer: o**3 + 19672*o**2 - o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*9\/3*(-33)\/891*9*15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 + 4130 = 85*j + 644. What is the remainder when 167 is divided by j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -7.92.\nAnswer: 0.1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 9:59 AM?\nAnswer: 412","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m - 16. Let o be x(2). Let w = -115 - -117. Solve 0 = o*g + w*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*v - 24 = 0, -5*s + 5*v = -0*v. Let m = 8 - 5. Let g be (5\/(-5))\/(1\/m). Is s > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-1) - 2*2. Let x be 0 + v\/(10\/8). Differentiate 5*k**x + 0*k**4 - 24 + 31 + 4*k**4 wrt k.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571230.2l in millilitres?\nAnswer: 571230200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/10 + 1)\/((-248)\/32 - -7).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 470, -3, -5?\nAnswer: 470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3578.18 rounded to the nearest ten?\nAnswer: -3580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*f*z**2 - 921*f*z - 71*f - 2*z**2 + 25869298 wrt f?\nAnswer: 6*z**2 - 921*z - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 1 - 5. Let q = m - -2. Suppose 3*r = d + 50, d - 19 + q = -r. What is the remainder when r is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tzo when three letters picked without replacement from {x: 1, g: 4, h: 1, t: 11, o: 1, z: 1}?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -64 - 6?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4446\/(-24))\/(4 + 51\/(-12))?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 2522465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.00000032 - -13. Round r to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h - 12. Let y(t) = 13*t - 11. Let l(b) = 5*o(b) - 4*y(b). Is l(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 172\/(-7) + 12\/21. Let r = i - -50. Let p = -93 - -98. What is the remainder when r is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -4*c. Suppose -2*q + c + 4 = 0. Suppose 4*m - d = 12 + 70, 5*m - q*d - 104 = 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -167 - 67. List the prime factors of j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70220.\nAnswer: 2, 5, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-2)\/8)\/(2\/60))\/((-28)\/(-24937920)). Round w to the nearest ten thousand.\nAnswer: -6680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 s when three letters picked without replacement from {s: 1, p: 11, g: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - 6*u**3 - 2*u**3 + 39 + 4*u**2 + 6*u**3 as t*u**3 + c*u + b*u**2 + v and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 1) + (-8 + -3 - -18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5692 = 4*p - 936. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/145 and -38\/7633045?\nAnswer: 221358305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 11. Suppose 27 = g*v + f, 3*f - 21 = -3*v - 0*f. Suppose -6*i - w = -i - 71, 0 = 3*i - v*w - 37. Calculate the greatest common factor of 42 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbzbbbbzbbbbbbzb. What is prob of picking 2 b?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3443605.93 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*j + 480168 = 99717, -4*j = -4*p + 507316. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7150858 is divided by 29794?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 2*g**2 - 45 + 116 - 44 to r*g**2 + z + f*g and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 22*k**2 - 67*k - 90.\nAnswer: -(k - 18)*(k - 5)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((1 - 0)\/(-1)). Let i = 52 - 20. Let a = i - 23. Solve 3*z + d*q - 4*q = 15, 3*q + a = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from moxlyyooooolly. Give prob of picking 3 o and 1 l.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3 + (sqrt(68)\/sqrt(4))**2 + sqrt(17)*-1*-1 - (sqrt(17) + (-2*sqrt(204) - sqrt(204))\/sqrt(12) + 5)) + 4).\nAnswer: -95 - 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-150))\/(3\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2094 + 2094 - 24*s**2 to the form w + b*s**2 + d*s and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 8. Let p be r(6). Suppose p*t - 3459 = 3597. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 5217*t + 752946.\nAnswer: -3*(t - 134)*(t + 1873)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/30 and 127\/51150.\nAnswer: 51150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*c - 990, 2*b - 1986 = 18*c - 21*c. Calculate the lowest common multiple of 36 and b.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -878 (base 15) in base 4?\nAnswer: -131321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 102*h + 437979. Let t(d) = 2*d**2. Calculate k(t(u)).\nAnswer: 204*u**2 + 437979","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143\/((-16)\/3456*132*-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2639964 by 5.\nAnswer: 2639964\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1740401?\nAnswer: 13, 133877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - 4.89. Let i = -34\/1419 - -904073\/7095. Let d = 128 - i. Which is the third biggest value? (a) 5 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 1, h: 1, o: 3, x: 8}. Give prob of picking 1 x and 1 h.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (((-314272)\/(-21))\/46)\/(319\/(-321) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3 + 7. Suppose t*f - 124 = 2*g, -2*g = -3*f - 4*g + 191. What is the highest common factor of f and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250303921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*q - 221945 = 3488*q - 22407 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120523?\nAnswer: 13, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/21 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49982 = 2993*q - 69863 + 45020 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 - 5*p**2. Let i(l) = -11*l**2 - 6*l**2 + 13*l**2 + 3*l**3. Give 5*i(f) - 4*z(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 69212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(484)\/(1*sqrt(77)\/sqrt(7)))\/(-5*(sqrt(144) - ((sqrt(144) + sqrt(144)*2 - sqrt(144)) + sqrt(144))) + (sqrt(144) + sqrt(144)*-1)*-6).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3197120 and 10300.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 + 14*y**2 - y - 3. Suppose -h - b = 6, 32 = -4*h + 2*b + 2*b. Let z be l(h). Solve -5*f = z*u + 22, -u = -3*f - 2*f - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p. Suppose 0*s - 33 = -4*g + s, 4*g + 5*s = 3. Let r be x(g). Let q = -18 - r. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 + 22\/(-99). What is the nearest to 2 in f, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1546 + 2280. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -56, -40, -12, 28, 80, 144?\n\"Answer: 6*g**2 - 2*g - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u - 4, 3*w - 3*u = -516. Is -169 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwabbbwab. What is prob of picking 1 a and 1 b?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from jyaswly.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*x + 3*j + 2*j, -5*x + 38 = 4*j. What is the greatest common factor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((186000\/(-279))\/(-125))\/60.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2 + 4*z + 5. Let j(l) = -l**3 + 2*l**2 + 7*l + 1. Let n be j(4). Let y(o) = -4*o**2 - 2*o - 3. Determine n*m(k) - 5*y(k).\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 0 - 3\/20*h**6 + 0*h + 0*h**7 + 0*h**3 - 3\/8*h**4 + 1\/112*h**8 + 2\/5*h**5 - 13*h**2. Determine d, given that o(d) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3 + 1. Let c(b) = b + 5. Let q be c(-4). Let v(a) = 3*a - a - q + 0*a - 1. Give v(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/12*1 + (-11420)\/(-120). Suppose 0 = 2*z + y - 289. Suppose z = -16*b + 17*b. What is the remainder when b is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12045 and 73.\nAnswer: 12045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a milligram in micrograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.8 + -5.8. What is the biggest value in z, 78, 1\/3?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/10)\/j)\/j**14)**(-32\/5))**(1\/4) assuming j is positive.\nAnswer: j**(556\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g - 3 - 1 - 11*g.\nAnswer: -g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(sqrt(175) + -2 + sqrt(175)).\nAnswer: -10 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**3 - 3 + 3 + 4*g**2 - g**2 + 2*g**3 - 5*g**2 + (0*g - 3*g + 4*g)*(0*g**2 + 4*g**2 - g**2).\nAnswer: -2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0 + (0 + 0 - 1)*(0 - 3 + 2) - 2 + 2 - 1 + 5 - 2 - 2 - 2 + 0 + 6 - 1 + 2 + 0)*(-3 - 2 + 2)*(0*b - 4*b + 3*b).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -192 (b) 6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -128*k - 24519. Determine q(-185).\nAnswer: -839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -11*z - 87. Let q be g(-8). Let h(n) = 5*n**3 + 15*n**2 - 15*n. Let x be ((-10)\/(-6))\/((-17)\/(-153)). Let a(p) = -p**2 + p. Give q*h(d) + x*a(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1401 and 206036664?\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42075.57l in millilitres?\nAnswer: 42075570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4951493247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -59, -0.1, 9555116?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-6))\/((-465)\/(-1240)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/353349 and -151\/102420?\nAnswer: 7066980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, m: 1, p: 2, f: 2, c: 6}. Give prob of picking 1 f, 2 s, and 1 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((-500)\/(-6292)) - 14\/(-175). Calculate the greatest common factor of 483 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3\/4 - 30*i**2 + 61*i = 0.\nAnswer: -122, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*m**2 + 503916*m**4 + 259*m**3 - m**5 - 503916*m**4 + 2*m wrt m?\nAnswer: -60*m**2 + 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + (sqrt(1900) - (-1 + sqrt(1900)) - sqrt(1900)) + -5 + sqrt(1900) + 0 + -5)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-45)\/(-50))\/(18\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 + -3)*8\/6. Let a = 689 + -688.9. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8450 is divided by 2773?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*l - 2*l - 2, l = -k + 2. Solve 3*q - 3*z - 21 = k, 4*q - 14 = -0*q - 3*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5\/2 (b) -14 (c) 1.6 (d) -2\/429 (e) 1 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.31 - 16.69. Let m = 17.11388 + -0.08588. Let a = h + m. What is a rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 0*d + 0 - 5*d**2 - 1\/60*d**5 + 1\/6*d**4 + 2\/3*d**3. Let w(z) = -z**2 + 3*z + 3. Give 3*v(u) - 4*w(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 38 = -4*l, 5*c + l = -3*l + 58. What is the remainder when (-7)\/((-35)\/24) + 2\/c is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/308682 and 17\/66.\nAnswer: 308682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 + 2*j**3 - 4*j**3 + (-2*j + 1 - 1)*(2*j**2 + 2*j - 2*j) + (0 - 3*j**2 + 0)*(0*j + 16*j + 10*j) in the form k*j + m*j**3 + f + r*j**2 and give m.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 1:34 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2017 + 651 + 1694*b**4 - 6114*b**4 - 3153 wrt b.\nAnswer: -17680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-31851)\/12*16\/72*-24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16404305 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -356aa?\nAnswer: 356a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19089 - 19087)\/((-226)\/(-112) + 3 + 0 + -5).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 724 and 188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) -51 (c) -2 (d) -3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 - -255. Let w = 28.9 + z. Is w > 2\/193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0*g**3 - 1\/42*g**7 + 0*g**4 + 0*g**6 - 1\/10*g**5 + 0*g + 0 - 18*g**2. What is the third derivative of p(t) wrt t?\nAnswer: -120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 - -222. Let j be ((-6)\/(0 - v))\/((-8)\/(-30)). Let j - 3\/4*t**2 - 3\/4*t**3 + 3\/4*t = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - p + 9 = 0, -5*r - 5*p - 5 = 0. Let w be 1 + (-3 - (r + -1)) + 1. Solve -d - 2*z - 2*z + 15 = 0, w*d + 3*z = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/7)*j*j**(4\/9))**(2\/25)*((j\/j**(-4\/5))\/j**4)\/(j**(-2\/7)*j**(-1\/3)) assuming j is positive.\nAnswer: j**(-458\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74104996 and 42378.\nAnswer: 222314988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*j = 3*f + 5, 5*j + 12 = -2*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*u**2 - 8*u**3 + 296*u**2.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 - 128. Let c = -51 - a. Let w be (-6)\/c*(-3)\/(-6). Is w bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 52, 76, 96?\n\"Answer: -2*o**2 + 34*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 38. Let q = -6 - l. Let m(d) = d**3 + d**2 - 6*d + 5. Is 13 a factor of m(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10 + 7 = -u, 3*u = -6. Solve -b*w + 28 = -s, 0 = 5*w - w + 4*s - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/114)\/(3465\/1881)\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46\/6 - 2\/3. Suppose 3*r - k = 11. What is the lowest common multiple of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from jaacacaabaacacccac.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = 0, -6*j - 4*f = -10*j - 7788. What is the tens digit of 7 - 6\/1 - j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + 77. Calculate y(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26503.07 + -26503. Let j = 0.05 + 0.35. What is the closest to -1 in x, 2, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -25197?\nAnswer: 1763.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8265 and 2033480.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314472 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*(sqrt(52)\/sqrt(4))**2 + (1 + sqrt(468) - sqrt(468)))*-6 + (sqrt(195)\/(sqrt(15)\/sqrt(3) + sqrt(5)))\/sqrt(768)).\nAnswer: -1368 - 3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 + 7*s + 18. Calculate v(-3).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from ypfupyupppp.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -633.6 - -634. Let b = 1.9 - 2.1. What is the smallest value in b, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, e: 6, j: 1, x: 1, a: 4}. Give prob of sequence ajqx.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8372 and 159666.\nAnswer: 2235324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/(-8))\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 16, -7, -40, -83, -136, -199?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 6*j**2 + 2. Let w be k(6). Suppose -2*x - 18 = -4*v, -3 - w = -2*v + 5*x. Suppose u + 5*y = -u - 2, v*y + 20 = 0. 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 product of -28.5 and 0.1?\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -37, -143, -309, -535?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 4*a - 2. Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 42. What is n(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:05 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/48 + (-6)\/36.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, i: 4}. Give prob of picking 2 i and 1 r.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 - 113.0000087. Round g to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13728 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -18*o + 5. Calculate the remainder when v(-2) is divided by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 10. Find y such that y**4 + 0 - 4*y - 4*y**3 + 2*y**2 + 0*y**3 + 1 + o*y**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 64 = -18*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209419 = 13389*q - 588564 - 326693 for q.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 23*k**2 + 123*k + 39. Let q be -1*(-4326)\/(-294) - (1 + 10\/(-14)). Give m(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/18*(-96)\/(-64))\/10.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(79 - -31) - (-4)\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*c**4 - c**3 - c**2 - 979*c wrt c?\nAnswer: 1488*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*s**2 - 91*s - 123*s - 110*s - 52*s**2.\nAnswer: 7*s**2 - 324*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -38. Suppose f = 7*a + 597 - 4461. What is the remainder when a is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oouu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*v**2 - 44*v + 44*v)*(3*v + 10 - 10)*(12*v - 32*v + 16*v) as o*v**4 + c*v + x + l*v**2 + f*v**3 and give o.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 - 167. Let t = -6 - -5. Which is the smallest value? (a) -0.5 (b) h (c) -5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19129416 divided by 18376\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6247571 and 2271844?\nAnswer: 24990284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h + 217 = 10*h. Which is the third biggest value? (a) h (b) 3 (c) 8\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1 - 3) + 0. Suppose -2*k + 5*n + 76 = a, 5*k - 107 = 2*k + 4*n. Let m = 411 + -408. Calculate the highest common factor of k and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79175485 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*j + 56692 = 0, -45350 = -4*t + 25*j - 30*j. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 46, 82, 116, 136, 130, 86, -8?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.07726 rounded to 2 dps?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + b + 4*b = -1485881, -4*h - b = 1485877. Let x = h - 138531. Round x to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108827 divided by 1\nAnswer: 108827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l + 32. Let x(c) = 6*c - 21. Calculate 5*i(j) + 8*x(j).\nAnswer: 3*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 237, 1935, 6549, 15537, 30357?\n\"Answer: 243*n**3 - 3*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-15 + (-855)\/(-54))*8\/(-6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.501 in -4, 5, -0.5, 2\/3, -3\/19, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 1 + 0*s + 11\/5*s**5 - 5\/3*s**3 + 0*s**2 + 0*s**4. Find the third derivative of f(d) wrt d.\nAnswer: 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 9. Suppose -m = -0*q + 5*q. Let c = 1 + -3. What is the third smallest value in 2, q, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 20*b - 4*b - 10*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47, -90, -147, -224, -327, -462?\n\"Answer: -l**3 - l**2 - 33*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -11*o**2 + 4*o**2 + 42*o**3 - 9*o**4 + 7*o**2 + 47*o**3 + 10*o**2 = 0.\nAnswer: -1\/9, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2\/5, 1.75, 256\/13, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90.2 - 548.2. Let b = 455 + a. Put b, 5, 2\/11, -2 in increasing order.\nAnswer: b, -2, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29705 is divided by 5854?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*s - 100, -p - 4*s + 47 = -3. What is the remainder when p is divided by 3*4 + (-5 - -9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 4*g = 50. Let w be (-42)\/(-5) - (-2)\/g. Suppose w*j + 6*j = 4102. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + j - 0*j - 26, 0 = d - 4*j - 1. Solve -d*p = 7 + 18 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29221 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(2\/3)*f)*f)\/f)**(3\/11)\/(f**(-2\/7))**(-11) assuming f is positive.\nAnswer: f**(-235\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*1*-5)\/((sqrt(35)*2)\/sqrt(5)) - (sqrt(209)\/sqrt(11)*5 - 1*sqrt(1216)))**2 + -3.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 213*a**3 - 11*a**2 + 6*a + 3. Is v(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606350089.\nAnswer: 606350089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaavavvaaaaaaa. What is prob of sequence av?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/3534)\/((-27)\/162)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) - 678\/1050. Let s = k + 174\/25. Calculate the common denominator of s and 10\/15 + (-1)\/12*-142.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:04 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(1408\/(-48)))\/(6\/64)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/5 - 55\/(-25). Suppose -s*d + 46 = -0. Suppose -2*g - 3 = 5, -5*n + 2*g = -d. Calculate the least common multiple of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 908645?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/4))**(17\/7)\/(a**(-8)*a**1*a) assuming a is positive.\nAnswer: a**(253\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 0*i + 10*i**2 + 0*i**2 + 2*i + 9*i**3. Let n(x) = 18*x**3 + 21*x**2 + 9*x. Let q(y) = -4*n(y) + 9*p(y). Factor q(v).\nAnswer: 3*v**2*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14119*g + 5859*g - 8629*g = -8057*g - 2813870 for g.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1712961479.\nAnswer: 1712961479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368\/(-24)*39\/(-26).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -371\/4 - -6315\/68. Which is the closest to 1? (a) -4 (b) -2\/13 (c) f (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + 0.8. Let w = v + -0.2. Let z = -7\/3 + 5\/3. Which is the closest to z? (a) 3 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/27 (b) 0.5 (c) 52 (d) -2\/171 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h. Let d(l) = -604*l**2 - 5. Let g(v) = 3927*v**2 + 33. Let s(a) = -33*d(a) - 5*g(a). Determine s(t(o)).\nAnswer: 2673*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6927454 to the power of 1\/2, to the nearest integer?\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1245*p**2 + 5.\nAnswer: -1245*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -550606 (base 8) to base 2\nAnswer: -101101000110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 - 33*h**3 + 28*h**3 + 6*h**2 + 0*h**2 - 19*h**4 - 4*h**2 to the form w + d*h**2 + p*h**3 + q*h + v*h**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 8.\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.100607232 and 0.11.\nAnswer: 0.009392768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15089 divided by -15.\nAnswer: -15089\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*x - 3*x. Suppose -x = 5*r - 11. What is the nearest to r in -1, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.104 and 0.1.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2. Let k(d) = -5. Let u(w) = -3*k(w) - 7*n(w). Let j = -7 - -12. Let h(f) = -2*f + 6. Give j*u(b) - h(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 0. Let y = v - 30. Let b = y + 13.99966. Round b to 5 decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(147)*-4*4 - (sqrt(147) + sqrt(147)*3 + sqrt(147) + sqrt(147))*-5*-5) + 1)**2*5.\nAnswer: -9380*sqrt(3) + 13197665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 31906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5121748 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = u, -56 = -3*n + 4*u. What is the lowest common multiple of 18\/(-48) - 54\/(-16) and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/(-19) + (-4)\/38. Suppose -10*k + 9*k = -9. Suppose -k = 3*n - 3, 0 = -a*c - 4*n + 88. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271.66 + -340.6. Let z = u + 70. Let h = 0.06 - z. Which is the second smallest value? (a) 1\/4 (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 - 59. Let p = -45.000001239 + c. What is p rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/204670710 and -98\/95535.\nAnswer: 2251377810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 104304655 (base 7) to base 10\nAnswer: 6287524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380643984.\nAnswer: 2, 3, 7, 377623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 - 192*v**3 + 216*v**2 + 992*v + 588 = 0 for v.\nAnswer: -49, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*j**3 - 3 - 3)*(6 - 4*j**2 - 6).\nAnswer: 8*j**5 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 42. Let j = 206105\/88 - 2342. Calculate the common denominator of (-1 - n) + -3 + 154\/(-24) and j.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 811?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + (sqrt(175) - ((sqrt(175) + sqrt(175) + -1)**2 + sqrt(175))) - (sqrt(49) + sqrt(196)\/sqrt(4)*-6)\/(sqrt(7) - (sqrt(7)*1*-4 - sqrt(7)) - sqrt(7)).\nAnswer: -694 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9786872*d**3 - 5441*d**2 - 129.\nAnswer: -58721232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.25484l in millilitres?\nAnswer: 14254.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 22. Let t = -184 - -409\/2. Calculate the common denominator of t and -3*2\/z - -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -685 - -688. Let y(r) be the second derivative of -7\/2*r**2 + 0 - 1\/2*r**m + 7*r. Differentiate y(h) with respect to h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1835938185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 771266 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + 5 + 2*k**2 - 3 - 3*k**4 + 0*k**2 as i*k**2 + t*k**3 + s*k + n + p*k**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 2. Let c be m(2). Let i be 2583\/41 - (c + 1). Calculate the highest common divisor of i and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-1)\/5*-5. Suppose 6*d - 48 = t*d. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 3 + 2*i**3 - 11563*i**2 - 64*i + 5803*i**2 + 5763*i**2 as r*i**2 + m*i**3 + q + l*i and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 3771362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8230518 and 1676587?\nAnswer: 90535698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 13 - 44 - (1 + 6) - -76\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 3*g**2 + 2*g + 2. Let p be r(4). Let l = -26 + p. Factor l*y - 1\/3*y**2 + 0 - 1\/3*y**3.\nAnswer: -y**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183440, -183441, -183442, -183443?\nAnswer: -183444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqqppqqpqppqqp. What is prob of picking 2 q and 2 p?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c - 276 = 8*c - 25*c + 60*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 36044 and 36043 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30078 by 2620.\nAnswer: -15039\/1310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 - 862*h + 861*h - h**3 + 7*h**3. What is o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215091.7452 rounded to the nearest 1000?\nAnswer: 215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-55)*(-10)\/36.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-7)*h)**(6\/11))**46)**(-9\/8) assuming h is positive.\nAnswer: h**(1863\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 20999 - 20999. Let p(u) be the third derivative of -u**4\/3 - u**3\/6 + 2*u**2. Give p(v(x)).\nAnswer: 16*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 + 40*r**3 + 13*r - 26*r + 13*r.\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(-1*((sqrt(2057)*2 - sqrt(2057))**2 - sqrt(2057)) - (-1 + (sqrt(2057) - -2*sqrt(2057))**2))*2.\nAnswer: -44*sqrt(17) + 82276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 325 by 578.\nAnswer: 325\/578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310179502 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 - 1 - 219\/(-1) is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45484, -88286, -131088, -173890, -216692?\nAnswer: -259494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34736, -69548, -104360?\nAnswer: -139172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 - -8057?\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20395 - 20394.8. Let b = -1 - -1. What is the nearest to b in 3, v, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -47*n**3 + 5968*n**2 + 134*n - 1008. What is h(127)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d*z**3 - 408852*d*z**2 + d*z - 3*d + z**3 + 69039*z**2 + z + 17 with respect to d.\nAnswer: -z**3 - 408852*z**2 + z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 8:16 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, s: 6, a: 1, o: 1, j: 1, h: 1}. What is prob of picking 1 t, 1 s, 1 o, and 1 j?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-1 + (-12)\/(-3) - -3). Put -5, -46, y, -3 in ascending order.\nAnswer: -46, -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 214, 300, 408, 538, 690, 864, 1060?\n\"Answer: 11*g**2 + 53*g + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.011 + -0.011029. What is g rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 16. Let b(a) = -8*a - 73. Let k(p) = -b(p) - 5*t(p). Let h(j) = -j - 7. Give -3*h(y) + 2*k(y).\nAnswer: -y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a second in microseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2 of a litre in millilitres?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millennium in years?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*163.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 7) to base 13.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3 - 364870*f**2 - 174236497*f - 20814435432 = 0. Calculate f.\nAnswer: -364392, -239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.19 + -0.29. What is the closest to -0.1 in 4\/5, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + 0.43. Let d = -0.18 + y. Let c be 15\/(-9)*1\/(-2). What is the smallest value in 1, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*v - f + 20, -5*v - 41 = -4*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-14) + (-6)\/(-4) - -2. Suppose -3*i = -4*d - r, -5*i + 5*d = -10*i + 30. Suppose g - i*g = 138. Which is smaller: g or -45?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3267 and 8349.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 718759276 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -7045, 50 in descending order.\nAnswer: 50, 5, 1, -7045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*y = -18 - 24, -29 = -m + 4*y. Let q = m - 13. Suppose q*r - 9*r = -180. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o**(4\/7))**(-3\/2)\/((o**(2\/7))**(2\/13))**38 assuming o is positive.\nAnswer: o**(316\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*t - 950 + 606 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*(v**(7\/2)*v)\/v)*v*v*v*v*v**(-1))\/(v\/(((v\/((v\/(v\/(v\/((v*v**(-2))\/v))))\/v))\/v)\/v)*v**(-2\/15)) assuming v is positive.\nAnswer: v**(-101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xllx when four letters picked without replacement from llllxlxllx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 8*d + d in the form n*d + m and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*y + 41 = 5*h - 158*y, h + 3*y - 16 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 13, 2, 1.\nAnswer: -6, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 220*z = -218*z + 7, 27 = -3*w + 3*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 14. Let y(o) = o**3 - o**2 - o - 2. Let k be y(2). Let m = k + a. Sort 3, m, 5 in descending order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/4)\/(30\/(-12)). Let h = 2 - 1. Let q = -39 + 44. What is the third smallest value in h, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -16778\nAnswer: 8\/8389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1931, 3855, 5773, 7685, 9591, 11491, 13385?\n\"Answer: -3*f**2 + 1933*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = -12. Let z(f) = f**2 + 14*f - 30. Let n be z(-16). Solve -n*u + p*u - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -7, 0.304, 8.4, 3 in decreasing order.\nAnswer: 8.4, 3, 0.304, -2\/11, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 5, -11\/3, 1\/7, -4 in decreasing order.\nAnswer: 5, 2\/7, 1\/7, -11\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 28 = z - 2*x, z + 2*x - 4 = 0. Let n be (88 - 2) + (-2 - -4). Let w(c) = 87 - 3*c - n + 2*c. Let q(h) = -h - 1. Calculate z*w(u) + 5*q(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a factor of 4056448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24309179 + 9649179. Round h to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 106 = -22479*f + 22465*f, 3*h - 78 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 73.5778 from -0.83.\nAnswer: -74.4078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 1242 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 950\/357 + 2\/357. Find l such that 16\/3 - 2\/3*l**5 + 8\/3*l - 2\/3*l**3 - 20\/3*l**2 + t*l**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 998621182 to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44825 divided by -13?\nAnswer: 44825\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + s**2)*(1367101 - 1367101 + 1841*s).\nAnswer: 1841*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 36743 + 11102 = 0. What is the highest common factor of 27 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 319 + -13120?\nAnswer: -12801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 18*f**2 + 17*f. Let v be d(-17). Suppose 3*r - 580 + 46 = v. Calculate the remainder when r is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:50 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -57*f**2 + 33*f + 33. Let c(x) = -13*x**2 + 10*x + 22. Let d(v) = -14*v**2 + 11*v + 25. Let t(y) = -7*c(y) + 6*d(y). Determine 4*i(j) + 33*t(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/275 and -143\/300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 24*w - 6. Let i be q(5). Let g = i + -3. List the prime factors of g.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 16. Solve 1 = 2*g + v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17040659?\nAnswer: 313, 54443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(448) - sqrt(448)*1) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 0.529 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 4*h - 75. Suppose -h*l - 5*g = 3*l - 210, 210 = 5*l - 5*g. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1) + (72 - 71)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 24. Let h = d + 18. Suppose 0 = -2*l + 3*l - 28. What is the remainder when l is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27248982?\nAnswer: 2, 3, 4541497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 568 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6.4 (b) -1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-4)\/(-10))\/(-1))\/4 + (-39177009)\/(-90). Round l to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5*z - 8, -16*z + 5*y - 24 = -17*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 774 - 6. Do -95 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/9822 and -11\/52384?\nAnswer: 157152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**4\/24 + 3*g**2. Let b(f) = 13*f - 1062. Let h(k) = -3*k + 236. Let r(i) = -2*b(i) - 9*h(i). Determine r(w(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1291327.9911 + 1291177. Let n = 24 - -127. Let k = z + n. Round k to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**2 - 9*o + 13. Suppose 4*u = 5*c + 4, 0 = -0*c + 2*c + u + 12. Let a(n) = 0*n**2 + 2*n + 4*n**2 - 3 - 5*n**2. Calculate c*f(d) - 18*a(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*((-38)\/(-78) + 12\/(-78)). What is the third derivative of -16*a**2 - 150*a**6 + 44*a**2 + 15*a**3 - 15*a**3 - w wrt a?\nAnswer: -18000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(0 - 4 + 2)*(-1 - 1 + 6)*(22 + 55 + 4*o - 63 - 4*o + 3*o + 3*o + (-3 - 2*o + 3)*(1 - 1 - 1)) to v*o + q and give v.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 243.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 381872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1708, -2710, -3306, -3292, -2464, -618, 2450, 6944?\nAnswer: 13068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhhhshhhsshhhh.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32109*q + 5*q**2 - 32109*q - 2*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -6 - 1)*29. Is c < -232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 172 = -4*o - 3*q, 5*o + 4*q - 216 = 0. Let d(l) = 6 - 7 + 8 + o*l - 44*l. Let y(p) = 3*p**2. Give y(d(h)).\nAnswer: 48*h**2 - 168*h + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n + 577. Is 18 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81329 and 241552?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9563870 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + 2*p)*((6 + 1 - 1)*(-4*p - 3*p + 2*p) + (-1 + 1 - 13)*(0 + 0 + 2*p)).\nAnswer: -112*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3)*w\/w**(-3))\/(w**(-2\/11)\/(w*w**(-3))))\/((w*(w\/((w*w**(-1\/4))\/w))\/w)**49*(w\/(w\/w**5))\/(w**(-1\/3)\/w*w)) assuming w is positive.\nAnswer: w**(-8413\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 4*h**2 - 4*h - 2. Let f(a) = 16010*a**3 + 1852*a**2 - 40*a - 20. Let l(j) = 10*d(j) - f(j). Find the third derivative of l(m) wrt m.\nAnswer: -96120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6472 = -4*z, -46*d + 5*z = -41*d - 16180. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let k(n) = -5*n - 11. Let i(g) = -k(g) - 4*q(g). Let u be i(-8). Suppose -u*f - y + 76 = 0, f + 3*y = 2*y + 22. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 173*m + 2598. Let g = -10 + 12. Suppose 0 = g*v + 3*v - 5. What is the remainder when j(-15) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 8. Let s = -309 + 533\/2. Find the common denominator of s and (28\/z)\/(80\/(-105)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5972, -11946, -17920, -23894, -29868, -35842?\n\"Answer: -5974*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**4 + 8*u**3. Let g(v) = -7*v**4 + 7*v**3. Let b be 21\/5 - (-4)\/5. Let q(t) = b*n(t) - 6*g(t). Suppose q(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (90\/14 - 3)*-7. Let a be -3 + (3\/3 - u). Suppose 2*v - 14 = -2*m, 3*m = -0*m - 4*v + a. Solve -m*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331196.5 hours to seconds.\nAnswer: 1192307400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyxbbbbbwxbb. Give prob of sequence yyx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7418 - 7403. Let s(g) = g + 5. Let a be s(-7). Put 3, x, a in ascending order.\nAnswer: a, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250 - 133. Calculate the highest common divisor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -19*x. Let t = 0 - -4. Let k(n) = 4*n - t*n + n. Give k(p(s)).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 1 + 3 - 216909*z**2.\nAnswer: -216909*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -4\/5, -5\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 22710?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*i = 1, -i + 6*i + 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-918)\/25245)\/(2\/(-20))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 559345 + 563197. Let c = p - 1122541.9000001. Let g = 0.1 - c. What is g rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 j, and 1 o when four letters picked without replacement from jjttjjjoosj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 54980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-56)*-6 - (35 - 36)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 1. Let u be j(-1). Let m be 6330\/(-6)*(-1 + u). Round m to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 0*i**3 - 1 - 3*i**3 to the form j + m*i**2 + l*i**3 + u*i and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*c + 480, -2*b + 0*c - 4*c - 316 = 0. Let l = 218 + b. What is the greatest common factor of 216 and l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 9 = 5*f. Suppose 0 = 12*w - 13*w. Suppose -16*x + 6*x + 40 = w. Solve f*j - x = -4*u, 4*u - j - 8 = -5*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = i, c + 3*c = i + 4. Suppose 0 = 2*g - 9 - c. Let k = g - 2. Solve -14 = k*y - x, -38 = 3*y - 3*x - 14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -48 and 44.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/200 and 69\/20?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.08, 1\/2, -2\/9, 64, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**4 - 15*a**3 + 29*a**2 + 23*a - 28. Let k(r) = -3*r**4 + 12*r**3 - 31*r**2 - 22*r + 29. Let y(w) = -4*k(w) - 5*s(w). Solve y(t) = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 16 + 4*q - 28)*(-2*q + 4*q - q) + 1 - 1 + 2*q**2.\nAnswer: 6*q**2 + 34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150817.99902513 - -150818. What is t rounded to five decimal places?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -24. Is 1*(r + -1) - (-108)\/2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3126640 divided by -5\nAnswer: 625328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-3\/4)*k))\/k**(-17) assuming k is positive.\nAnswer: k**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -209*c + 1906. Let f be i(8). What is the highest common factor of f and 3798?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (sqrt(3) - (sqrt(3) + -1*sqrt(3) + sqrt(3)))))**2 + 2 + sqrt(3)*1*3.\nAnswer: 3*sqrt(3) + 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/120 + 17*m**4\/24 + 11*m**3\/4 - 44*m**2 + 171*m. Let r(f) be the first derivative of a(f). What is b in r(b) = 0?\nAnswer: -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**4 + 4*q**4 + 4*q**4 + (0 - 1 + 3)*(-30*q**3 - 6*q**3 + 689*q - 693*q + 2*q**4) to z + t*q**3 + r*q + s*q**4 + u*q**2 and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfff when four letters picked without replacement from mmfmfmmmmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/505 and 49\/20402?\nAnswer: 102010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 11*k = -5*g - 29, 5*k = -3*g + 33 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96\/13 in 5\/3, 1\/9, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*w**2 - 542*w**2 - 360*w**2 + 1247*w**2.\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -110, -143, -156, -143, -98, -15, 112?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**5 - 5*v**5 + 4*v**5)*(-1 - 3 + 5) + 43*v**5 + 610*v**5 + 748*v**5.\nAnswer: 1403*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 13384?\nAnswer: 66920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -202522 (base 6) to base 4\nAnswer: -3330302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124668 divided by 41556.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3069, -6136, -9203, -12270, -15337?\n\"Answer: -3067*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.007 - 0.007. Let o = -0.9 - 0.1. What is the closest to h in 2\/3, o, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 5*i - 3. Let r be n(-6). Let a be (1\/r)\/((-6)\/(-54)). Suppose 2*k = -a*k + 10. Solve 3*j + k*j = 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.9 - -25.9. Let q = -2\/9 + 5\/9. Let c = -20 - -41\/2. Put j, c, q in descending order.\nAnswer: j, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3. Let q be 170\/((2\/(-2))\/(-2)). Calculate the common denominator of q\/(-70) + (-2)\/j and 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -198c - -39bc?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3*w = 41, -7*w + 2*w - 75 = 5*z - 10*w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597141.9 milligrams to grams.\nAnswer: 597.1419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 600*k - 8476.\nAnswer: 4*(k - 163)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + o = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 60, 83, 106, 129, 152?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315521215 is divided by 2527?\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-92)\/(-32) - (-3)\/24. Find the second derivative of -615*q**2 - 586*q**g - 1 + 4*q + 1172*q**2 wrt q.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*s - 51*s + 20*s - 15*s + (-1 + 1 - 2*s)*(0 + 0 - 1).\nAnswer: -47*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 707416571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4060393 is divided by 3019.\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) - 66\/(-12). Suppose -2*u - 80 = -b*s, 4*u + 48 = 3*s - 0*u. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1084 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 12 = -6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3\/8)*x)\/x)\/x*x**(-1\/2))\/(x\/x**(8\/13))**(-34) assuming x is positive.\nAnswer: x**(1165\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niqwilw. Give prob of picking 1 n and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**(-1\/4))\/z*z**(-4))\/(z**(-12\/7)\/z**8) assuming z is positive.\nAnswer: z**(181\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21537 in 2\/7, -23, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = a + 5*i, -3*i = 3*a. Let u(p) = p. Let v(t) = 2*t**2 + 4*t + 1. Calculate a*v(j) - 5*u(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 2*n**2 + n + 2*n + 7 + 4*n. Let h(t) = -t**2 - 6*t - 6. Calculate 7*h(r) + 6*x(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 8?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-422)\/4*(-3 - (-3 - -2)). Let o = n + -167. What is the highest common divisor of o and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*q + 21, 5*m - q = -5*q + 34. Suppose 141 - 1689 = -m*p. Let i = -170 + p. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 1 + -6 + 13. Let r(b) = -b - 9. Let d be r(9). Let h be 1\/(-3)*-4*d\/(-84). Put -3, 4, y, h in descending order.\nAnswer: y, 4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - 2*o + 0*o)*(-2*o + 2 - 2) - 11*o + 11*o - 20*o**2 as y*o**2 + h + d*o and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 53 = -20. Let q = g - 7. Solve -s + 0*s - q = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 - (-48578)\/535 - (237\/20)\/(-3)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10724*q*u**5 - 24*q*u**4 - 148530*q*u + 2*q wrt u.\nAnswer: -214480*q*u**3 - 288*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 12:01 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*c - 0*a - 362, 4*c + a = 729. Suppose -c = -4*z - 2. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74670518959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4160\/(-2944))\/65)\/((-2)\/(-12)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*y + 1955 = 2*j - 108*y, 0 = -y - 1. Calculate the remainder when j is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from aaoo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.337268 days to minutes.\nAnswer: 4805.66592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z - 112 = 0. Let r(y) = -2*y**2 + 18*y - 36. Let h be r(8). Let j = h - z. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8736+0.374\nAnswer: 8736.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -106, -77, -22, 65, 190?\n\"Answer: s**3 + 7*s**2 + s - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 1270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 0*j + j)*(4*j - j - 2*j) + 3*j**2 + 0*j**2 + 0*j**2 + (-2 + 2 - 3)*(-3*j**2 + 5*j**2 - 4*j**2).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49718*p**3 - 13922 wrt p.\nAnswer: -149154*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let d(x) = x**2. Let f be d(n). Let a be 3\/6 - (-18)\/f. Solve 0 = a*h - 3*o - 1, h + 2*h - 4*o - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -r - 16. Suppose -2467 = -5*y - 3*i, -2439 = -7*y + r*y + 4*i. List the prime factors of y.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768\/(-60) + 12 - -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(sqrt(1008) + (sqrt(1008) - (3 + sqrt(1008) + -5 - sqrt(1008)))) + -1 + 3)**2.\nAnswer: 96*sqrt(7) + 16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/5491509 and 67\/15.\nAnswer: 27457545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3890 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -3*w + 56. Suppose 0 = 4*j + 2*t - 92, 2*t + 1293 - 1235 = 2*j. What is the lowest common multiple of w and j?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -2.4. Let w = -1.1 + 0.6. What is the third biggest value in 1\/2, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 5:29 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/408 and -91\/8.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2123779 is divided by 8495.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 38*y = -22*y + 252 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 11) in base 4?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 10*g - 16. Determine i(6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 280 + 176. Suppose 3*s = t + 126. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77922\/(-888) + 98 + -4.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25460)\/25458 - (-4 + 3). Let f = 827417\/407328 + y. Let r = 43\/125 + -8563\/2000. What is the common denominator of f and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-3 - -9) + -22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 10:49 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11 - (1 + 0 + -3). Let r(v) = v - 4. Let z be r(9). Suppose z*l - y = d, 5*l - 26 = -4*d - 3. Solve -2*w + d = -0*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*m - 22 - 3 + 25 in the form s*m + d and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*j - 1, j + 3*c - 4*c - 1 = 0. Let f be 1 - 5 - (j + -6). What are the prime factors of (110\/(-40))\/(f\/8)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*u - 3, 1 = 5*y + 2*u - 2. What are the prime factors of (21 + y)*(-2)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4455*d**3 + 6220*d**3 + 38314*d**3 - 630*d**3.\nAnswer: 48359*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/35)\/(14\/(-7)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.69 and 80056793355?\nAnswer: 80056793363.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 5*j - 192 = -5*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 4. Let s be i(6). Let x be (2\/1)\/(-4 - -1). What is the nearest to -1 in s, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - ((-4)\/(-2) - (10 + -7)). Let r(f) = -2*f - 3. Let i(b) = -b - 1. Let d(h) = -h - 1. Let z(n) = d(n) - 2*i(n). Determine j*z(a) + r(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.230701 and 0.9.\nAnswer: 0.2076309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 119*g - 35. Let d(m) = -178*m + 53. Determine -5*d(h) - 7*v(h).\nAnswer: 57*h - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1886, 3860, 5834, 7808, 9782, 11756?\nAnswer: 13730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -8 (b) -3 (c) 2\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - 2*t + (3 - 3 + 2*t)*(-1 + 4 - 1))*(-5 - 30 - 31).\nAnswer: -330*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103, -282, -773, -1732, -3315, -5678, -8977?\nAnswer: -13368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = -1. Let g(i) = -2 + 1 - 3*i**2 - 3*i - i + 4*i**f. Let l be g(4). Sort 5, l, -3 in descending order.\nAnswer: 5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*h**2 - 1930559*h + 685844616?\nAnswer: -20*h - 1930559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14001 and 2652.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -12)*((-248)\/(-600) - 4\/50). What is the fourth biggest value in -5, -11\/6, g, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sso when three letters picked without replacement from soso.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-5*-4)\/((-1*sqrt(72))\/sqrt(6)).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 19*l**7\/840 + 69*l**6\/160 + 217*l**5\/120 - 61*l**4\/8 + 3*l**3 - 96*l**2. Suppose j(x) = 0. What is x?\nAnswer: -6, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*3\/(-6) + (-9653)\/(-14).\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 14*p**2 + 27*p - 46. What is m(12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.98 + 1.98. Let y = 1.8 + -2. Which is the biggest value? (a) 0.1 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n - 2. Let b be a(-6). Let q be 0\/(-1) + (b - 4). Let k be (55\/(-55))\/(1 + (-49)\/48). What is the greatest common divisor of q and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {a: 6, d: 6, p: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -12201222200?\nAnswer: -12201222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -230, 0.1, 5?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*i**2 + 2 - 1 - 3*i**3 + 25*i + 17*i**2 to the form s + t*i**3 + x*i**2 + g*i and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-one sevenths of a week?\nAnswer: 1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 11*u - 136. Let p be x(18). Let a(o) = o - 3. Let l be a(3). Put p, 3, l in decreasing order.\nAnswer: 3, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31114240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = v - 4*v + 105, -5*x - 140 = -4*v. List the prime factors of (-908)\/(-5) - (-14)\/v.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + (29 - 58) + 24 + (-19 - -1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 13019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*q - 1086 = 0, z + z = -4*q - 1068. Find the common denominator of (-4)\/6 + (-1750)\/z and 151\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 3 + c**2 + 16*c**2 + 24*c**2 + 101*c**2 - 2*c**2 + c**2 + 3*c**2 + (2*c - 1 + 1)*(-2*c + c + 2*c) - 4*c**2 + 5*c**2 - 3*c**2.\nAnswer: 144*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15306471 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*b - 880 = -99*b. Suppose -5*g = -997 + 12. Calculate the remainder when g is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14220 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392\/(-14)*4\/8*(-4)\/154.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 at least -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 15. Let m be u(-6). Let l(n) = n**2 - 2*n**2 - 27*n**3 + 1 + 7*n**m. What are the prime factors of l(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = -3*n. Let w = 9546 + -9545. Let k = 1.7 + 0.3. What is the nearest to n in k, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k + 19 + 12*k - 98*k.\nAnswer: -111*k + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9.266 times -0.27\nAnswer: 2.50182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*o = 458*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**3 + 39*z**2 - 39*z**2)*(202 - 15 - 3) in the form c*z**3 + o + l*z + t*z**2 and give c.\nAnswer: -736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) -0.2 (c) 1\/6 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1467 + 686. Let z = 1302 + p. What are the prime factors of z?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*w + 9, -3*l + 8 + 3 = 2*w. Suppose -l*f + 2*y + 4 = 0, -y - 2*y = 2*f - 20. Solve f*v - 21 = -a, 5*a + 19 + 1 = 5*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 806, 803, 800, 797?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 v when four letters picked without replacement from kvvkkvkkvvkk?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 16 = -4*w, -l + 8*l - l + 104 = 26*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 858 + 733. List the prime factors of o.\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4449 + 44377\/10. Let m = -5427 - -24991334\/4605. Let i = m - 112049\/27630. Calculate the common denominator of b and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -387 - -453. Suppose 11 = -11*x + q. Calculate the smallest common multiple of x and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23765 less than -23765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.129 and 4.5.\nAnswer: 0.5805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -511 - -597. Let w = 631 - s. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5\/6 - 291*g**4\/2 - 16171*g**3\/6 + 39587*g**2\/2 - 38337*g + 21384 = 0.\nAnswer: -24, 1, 2, 3, 891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-36)*3 + 13\/2. Calculate the smallest common multiple of s\/(3 - 42*(-3)\/(-48)) and 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = c, 4*w = c + w - 4. Let j = 4 - c. Calculate the common denominator of 124\/(-6) + (-3)\/j and -1\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-32)*22*(-240)\/840.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 302 and 389119903?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15966 divided by 1250.\nAnswer: -7983\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -289, -1135, -2475, -4249, -6397?\n\"Answer: 10*f**3 - 307*f**2 + 5*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 8*y**2 - 7*y - 25. Let m be c(6). Suppose m*j = -3*w + 145, -6*w - j = -w - 205. Calculate the remainder when w is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8*4\/1600)\/(6\/(-18)))\/(54\/(-45))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(20) - (sqrt(6)\/sqrt(3) + 0))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -0.3, -427\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -96\/37, 0.5, 7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -14821.1.\nAnswer: -133389.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:24 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**4\/10 + 2*c**3\/15 - 56*c**2\/5 - 6936. What is d in w(d) = 0?\nAnswer: -8, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 31\/6 (b) -4 (c) -54 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -3.11?\nAnswer: -1.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -34. Suppose -5*x = -70 + k. Suppose 14 = g + 2*y - y, 0 = g + 5*y - 34. Calculate the greatest common factor of g and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101963 + -1257\nAnswer: -103220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(5445))*4 - (-6*-5*sqrt(5445))**2) + 0)*4.\nAnswer: -19602000 + 528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 52 = 3*l. Let w = 17 - l. Let n(y) = -y**3 + 2*y**2 + 2*y. Let u be n(3). Put -4, u, w in ascending order.\nAnswer: -4, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 899.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 232347.7 rounded to the nearest one hundred?\nAnswer: 232300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6\/11)*z)\/z**(-2))\/((z\/z**(-8))\/(z\/(z**(-1\/6)*z)))*(z*((z**(-6)*z)\/z*z)\/z*z*z)\/z**(-2\/3)*z**(-2\/15)*z*z\/z**(-2\/5)*z assuming z is positive.\nAnswer: z**(-599\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123510 + -123453.721. Round q to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 738, 2950, 6636, 11796, 18430?\n\"Answer: 737*n**2 + n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -20*n**5 + 335*n**4 + 145*n**3 - 1045*n**2 + 415*n + 170 = 0?\nAnswer: -2, -1\/4, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 540989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 2 - 3*t - 7 + 2. Let m be v(-2). Let k be m\/(-2)*1\/3. Sort k, 0, 4 in increasing order.\nAnswer: 0, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1101106 or -1101078?\nAnswer: -1101106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + -2 - (sqrt(32) + 1))*-1 + ((sqrt(162)*-1)**2 + -5 + sqrt(162))*5.\nAnswer: 44*sqrt(2) + 788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -886*b**3 - b**2 + b - 15. Is t(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.1, -1\/8, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 14 = 4*w + 2*r, -5*r = -3*w + 25. Let g(m) = -m**3 + 2*m**2 + 3. Let k be g(-2). Suppose 0 = -w*h - 4*l + k, -h + 13 = 2*h + 2*l. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*d**2 - 111*d**2 + 60*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130386 is divided by 48?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 14.5. Let d = 4.3 - s. Which is greater: d or -17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71307 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4124688 + 22248566981\/5394. Calculate the common denominator of p and 75\/2.\nAnswer: 5394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(57)\/(sqrt(9)\/sqrt(3)))**2 - (2 + (sqrt(19) - (sqrt(19) - (1 + sqrt(171)) - sqrt(19)))**2))*-5.\nAnswer: 40*sqrt(19) + 2105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 80658001 to the power of 1\/2, to the nearest integer?\nAnswer: 8981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1752045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -128, -196, -266, -338, -412, -488?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 6*a - 18. Let f be t(8). Let u be (7 + -5)*(-113)\/f. Let d = -96 + u. Solve -g + d = -4*y, -2*y = -g + 7 + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434887 is divided by 144958.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*8*2\/(-41 + 1). Solve 2*b - 5*b + 8 = -o*s, -3*s - 31 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30523494 a multiple of 2719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 440422 times 1\nAnswer: 440422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.117 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) 2\/7 (b) 0.162 (c) 0.5 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1025*a + 5639. Let j(o) = -1025*o + 5645. Let c(v) = -7*j(v) + 6*w(v). What is the derivative of c(x) wrt x?\nAnswer: 1025","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.239 - -133.239. Let h = i - 133.000002. What is h rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5284 - 3319. Calculate the common denominator of 145\/6 and (k\/50)\/(-50 + -1).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 7*d + 7. Let k be a(1). What is the nearest to 0 in k, 25, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/((630\/(-4))\/(-7)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-90)\/(-5)*(-95)\/285.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-67754826 + -6)\/(-24))\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 163, 1.445, -2\/7, 0.4, -2 in decreasing order.\nAnswer: 163, 1.445, 0.4, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(165)\/sqrt(3))\/sqrt(5))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 2\/5*d**3 - 1\/350*d**7 - 1 - 3\/100*d**5 + 1\/8*d**4 + 0*d - 1\/40*d**6 + 9*d**2. Find p such that k(p) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3155*j + 273 = -3194*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 16*f - 10. Let l be g(2). Suppose -p = -0*p - l. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b*d**3 + 15*b*d**2 + 3*b*d - 325*b - 5799*d**3 - 2*d**2 - 1922 wrt d?\nAnswer: 36*b*d + 30*b - 34794*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11204615*z**3 + 138425*z**2 + 11*z + 3 wrt z.\nAnswer: 67227690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 298 + -5806?\nAnswer: -5508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(104) + 1*sqrt(104))\/sqrt(2) - sqrt(156)\/(sqrt(12)\/sqrt(4)*-5))**2.\nAnswer: -44*sqrt(13)\/5 + 6317\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from hiihihhiiiiiwi?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4232507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4991*b = -363*b - 347100 for b.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 4*i + 3. Let t be s(2). Let u = 31886\/581 + -384\/7. Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 2285?\nAnswer: 228.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1458)*-2 + sqrt(1458)))\/(2*(sqrt(9) - sqrt(36)\/(1*sqrt(4)) - sqrt(9))).\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1975932*y**4 - 25*y**3 + 902562298*y?\nAnswer: 23711184*y**2 - 150*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pliqwlwwlplwwiillhp. What is prob of sequence lqh?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.894681 years to centuries.\nAnswer: 0.05894681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 5*n - 3*n + (21 - 21 - 10*n)*(1 - 1 + 1) + (0 + 1 + 1)*(n + 2*n - n) + 0 - n + 0 - 2 - 4*n + 0 + 3.\nAnswer: -17*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3334 (base 7) to base 10.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8824957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from rveevverrrrzrze?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 6178906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2))**23)**(-10) assuming g is positive.\nAnswer: g**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46953 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000100111111011101011 - 10?\nAnswer: -10010000100111111011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10384 and 2288.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**4 - 9*m**3\/2 + 26*m. What is the second derivative of a(j) wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -5, 1, 23, -10, -7738 in ascending order.\nAnswer: -7738, -10, -5, -3, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*u = 145, 4*z - 2*u - 3*u = 120. Suppose -2 = -2*w - c, -z*w + 26*w - c = 4. Solve -3*f - 4*h = -3, -w*f + 2*h + 5 = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 21*d**2 + d - 15. Let y be b(21). What is the highest common factor of 9 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17374, -34746, -52118, -69490, -86862, -104234?\nAnswer: -121606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.045664?\nAnswer: -0.045664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.72778 and 0.3?\nAnswer: -0.218334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - 87*s**2 - 41*s - 95. What is a(44)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 16 = 2*r. Suppose 0 = -4*h + r + 12. Let y = 4 - h. Solve y = 3*q + 9 - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from nnsne?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25415636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.72 - 13.53. Let a = -0.81 - s. What is the biggest value in -163, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 26 = 6*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**5 - 996*a**4 - 75180*a**3 - 1309100*a**2 + 25406784*a + 86052096 = 0.\nAnswer: -104, -51, -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 0. Let o = -2 + l. Let f = 1 + -1. What is the closest to f in -2, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyy when three letters picked without replacement from {y: 2, x: 1, k: 2, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 9*u - 67. Suppose 0 = z - 1, 3*z + u = v + 7*z. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2465540 divided by 11207.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10242590*y**5 - 15483945*y.\nAnswer: -204851800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 12. What is the common denominator of 3\/q - (-411)\/(-36) and -43\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46.0884 - -0.7734. What is c rounded to one decimal place?\nAnswer: -45.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 9 = 5*o. Let i(x) be the second derivative of -x**4\/12 - x**3\/6 + 2*x**2 - 47*x + 1. What is i(o)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -467 + 467. Solve -4*w - 5 = 5*m, i*w - 2*w + 4*m + 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 25. Solve 0 = h + 3*h - w for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/126 + -3 + 5 + -2.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*i - 3032 = -1324 + 2492 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 5?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1962502.99969 - -1962515. Let y = l - 12. What is y rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -16351 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-200)\/(-32) + -7 + (-5)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11648 (base 10) in base 11?\nAnswer: 882a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**3*j**3*r - 20*f**3*j**2*r**2 - 2*f**3 + 5*f**2*j**3*r**2 + 206*f**2*j**2*r - 6*f*j**3*r**2 wrt f.\nAnswer: 36*j**3*r - 120*j**2*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 5 - 2 - 1 + (-27*q**3 + 120*q - 120*q)*(-1 + 0 - 1)*(0 - q + 0).\nAnswer: -52*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/279 and 91\/14871258.\nAnswer: 14871258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 49\/2*756\/441. Put g, 1, -2 in ascending order.\nAnswer: -2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 21 = 3*h - 90, 4*i - 5*h = 77. Let m be 3*4\/(-3)*-1. Suppose 3*p - 23 = -4*w + m*p, i = -w + 5*p. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-4))\/((-9605)\/(-904))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 158159 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/3)\/(4\/36). Let m = j + -7. Factor 3 + 3 - 2 - 9*q + 3*q**2 + m.\nAnswer: 3*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 61870.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -465787 - -455?\nAnswer: -465332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 258561 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 a factor of 662590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9\/23, -7, 2\/19, -5 in descending order.\nAnswer: 9\/23, 2\/19, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -120107.55834.\nAnswer: -120107.85834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52251072*d**2*m**3 + 122*d*m**2 - 4*m**3 - m**2 + 2*m + 45 wrt d?\nAnswer: 104502144*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6))\/(34\/68) + (-9 - -1). Which is bigger: q or -70\/11?\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*o - 2*i, -3*o + 5*i = 2*o - 45. Let b = 9 - o. Let y(z) = 5*z - 2*z - 6 + 0. Give y(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*f - 4, -4*p + 14 = f - 0*p. Suppose 2*g = d - 105, -3*d + 373 - 58 = -f*g. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/13560 and 19\/32.\nAnswer: 54240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 426*g**3 + 2*g**2 + 151*g - 2225. Find the second derivative of m(p) wrt p.\nAnswer: 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 199?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1932154mm in micrometers?\nAnswer: 193.2154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 6*r**2 - 7*r - 17. Let m be z(-6). Solve 0 = 2*j + 3*j - m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*k = -20, 21 = 9*p + 22*k - 19*k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 - -38. Let t be (25 + -1)*(-2 - 15\/(-6)). Let q(y) = -y + 33. Let r be q(t). What is the highest common factor of b and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 259*l**3 + 21*l**2 + 21*l. Let x(a) = -26*a**3 - 2*a**2 - 2*a. What is 2*m(d) + 21*x(d)?\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*k + 141 = 31*k - 6355 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d**3 + 6 - 8*d**3 - 9*d**3 - 5 + 13*d**3. Suppose n + 4*o + 11 = 0, -4*n = -o - 2*o - 13. Determine h(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -197*g + 183*g - 70 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 25. What is the units digit of (-448)\/(-6) + h\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -286*l - 1. Let v(t) = -45*t. Determine d(v(x)).\nAnswer: 12870*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a64c + 23?\nAnswer: 2a670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1611\/4 + -403. Let q = -43 - -131\/3. Which is the closest to w? (a) 1\/3 (b) 9 (c) -4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 12:25 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*i + 90 - 273 = -1051. Sort 1, i, -4, 6, -14 in descending order.\nAnswer: 6, i, 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*p**2 + 203*p + 4215?\nAnswer: -18*p + 203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132013 - -3?\nAnswer: 132021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -669.4334 - 0.4666. Let k = a + 670. Sort 0.2, 0.3, k, 4.\nAnswer: k, 0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, and 1 k when three letters picked without replacement from ukkuuuuukuufukjuu?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + 2. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 541176 + -2?\nAnswer: 541174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfh when three letters picked without replacement from hsfhhhbhfhhbhbb.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6188 - -6187.97331. Round d to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, 238, 899, 2164, 4231, 7298?\n\"Answer: 33*k**3 + 5*k**2 + 9*k - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.386, -40\/7, 3\/2.\nAnswer: -40\/7, 0.386, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/4 (b) -4 (c) -2\/5 (d) -14 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156.20001458 - -156.2. Round n to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 3*n**2 + 3*n - 19. What is x(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -500289 times -0.2\nAnswer: 100057.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2) + (-8 - -4). Let m be 1\/q + 3\/9. Suppose m = -w - 2*w. Is w less than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-348)\/(-5) - (-18)\/(-30). Suppose 102 = 3*s - r. Suppose -33 = -9*k + s. What is the remainder when 58 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16195456 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**3 + 96*j**2 + 26*j - 47. What is y(14)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6600)\/500*20\/8. Suppose -t = -s - 0*t - 20, -2*s = 4*t + 64. Which is greater: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.03 (b) -24 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86418754?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 21*y**4 + 6*y**2 - 29. Let s(t) = -63*t**4 - 17*t**2 + 86. Suppose 14*w - 97 = 141. Let a(h) = w*j(h) + 6*s(h). Differentiate a(p) with respect to p.\nAnswer: -84*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 668202741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 7*f - 7. Let y be c(-5). Suppose 324 = y*b + 5*k, -b = 5*k + 74 - 192. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59571 and 19857?\nAnswer: 59571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21006 and 7.\nAnswer: 147042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.419992 and -5.1.\nAnswer: 2.1419592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 9994.1.\nAnswer: 9994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -27\/5, -11, 4\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1587.1839ms?\nAnswer: 0.026453065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Suppose q*s + 5*g = s + 57, -g - 32 = -s. Suppose -d + 3*o - o + 13 = 0, 5*o = 5*d - 60. What is the remainder when s is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*x - 5, -7 = -5*x - 0*x + 3*f. Sort x, 1, 4 in increasing order.\nAnswer: 1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -48*f + 52*f - 19, f = -k + 3. Calculate the greatest common divisor of 16 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oogogsssoggsoooggooo?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(-4 + 4 + 3*w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-1 + 3))\/(-2). Let c be 1\/(-5) - (-16)\/f. Let g(o) = o**2 - 6*o + 2. Calculate g(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 19 = -58. Let m(x) = -x**3 + 13*x**2 + 2. Is 2 a factor of m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and (-1 + -5)\/(-11*9\/330)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*u = -2*u + 8, 0 = -5*o + u + 4. Let s be ((-2)\/(-4))\/(o - -1). What is the third biggest value in 1\/3, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 9*k**2 - 9*k - 158. Let o be p(-8). Let a(z) = z**2 + 15*z + 6. Does 20 divide a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(21\/(-2))*-7. Let c(p) = -5*p**r + p**2 + 0*p**2 - p**2. Let f(q) = -q. Give c(f(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*n = -55996 + 176004, -2*y + n + 239998 = 0. What is y rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-5) + (-6)\/(-10). Suppose 3*o = 4*o - m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1302)\/(-10) + (2040\/200)\/(-51). Solve -145 + c = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.15596 from -0.11.\nAnswer: -0.26596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2370.6188 rounded to the nearest integer?\nAnswer: -2371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**2 - 41352250*y - 85500429003125 = 0 for y.\nAnswer: -4135225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.508054 months in centuries?\nAnswer: 0.014590045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 253453 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(1\/5)\/(g\/((g\/(g\/(g*g**1)*g))\/g))**(2\/35)*((g\/(g*g\/(g*g**(1\/3)*g))*g)**40)**43 assuming g is positive.\nAnswer: g**(84283\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 133\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2203 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 5*l + 6. Let f(t) = -t - 2. Let d be f(-6). Let k be v(d). Suppose 0 = -4*x + k*x + 6. Solve -3*c + 5*j = -c - 5, x*j - 8 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 152255.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - 2*w**2 + 0*w**2)*(-4*w**3 + 0*w**3 + 3*w**3 + (2 - 4 + 0)*(0*w**3 + w**3 + 0*w**3) - w**2 + w**2 - w**3).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -213, -244, -309, -420, -589?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 84, -793, -1670, -2547, -3424?\n\"Answer: -877*p + 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 2*s - 3. Is 4 a factor of f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 44 = -4*n + 58, 5*i - 46 = -2*n. What are the prime factors of n - (-4 + (-3)\/(-3))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045490204.\nAnswer: 2, 11, 37, 239, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352762 (base 12) to base 8.\nAnswer: -3205272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3\/((-21)\/(-245)) + -140 + 142)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 17. Let o be 1 + f - (1 + -2). Is 13 a factor of (19\/4)\/(2\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 184, 202776, -2 in ascending order.\nAnswer: -2, 184, 202776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + -176354?\nAnswer: -176346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rky when three letters picked without replacement from kfvkyir.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(7*z**3 - 5*z + 5*z + (-3*z**2 - 2*z**2 + 2*z**2)*(-z + 0*z + 0*z)).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 3. Suppose -2*t = -r + 1, 3*t = -0*r - 4*r + 4. Let v be y(t). Let s be v\/(-5) - 17\/(-5). Solve 3*j = -4*z - 1 + 25, -s*j + 19 = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-57 - 13) - (-26 + 24) - -6.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/9)\/p**(-12)*p**10\/(p\/(p*p**(-2\/29)*p)*p) assuming p is positive.\nAnswer: p**(5782\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.22 - 7.22. Let o = 0.8 - 3.8. What is the third smallest value in o, t, -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -336350 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 74\/4)\/((-3)\/(-4)). Let g = 17 - b. Is (-96)\/(-40)*g\/(-1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 69485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*o - o - 1767, -2638 = -3*f + 5*o. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700) + -4 + -1 + sqrt(700))**2 - (sqrt(112)\/sqrt(4) + (sqrt(700) + 1 - sqrt(700))).\nAnswer: -302*sqrt(7) + 6324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1954, 1950, 1946?\nAnswer: 1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57265 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 2:50 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2427, 4823, 7219, 9615, 12011?\nAnswer: 14407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 122*h**2\/5 + 677930*h + 55568\/5.\nAnswer: 2*(h + 27784)*(61*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171777.3299 + 171767. Round f to 1 decimal place.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 27*w - 27. What is the hundreds digit of r(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2540240375623233 + -2540238327689191.999173. Let j = c - 2047935505. Let r = j - -1464. Round r to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310595925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14\/55, 1.1 in increasing order.\nAnswer: 0, 14\/55, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20020 and 2912.\nAnswer: 160160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -21. Suppose 0 = -b - g + 7. Find the second derivative of -b*k - 2*k + 0*k + 5*k - k**2 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 48*p - 133. Give c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/16690050 and -161\/234?\nAnswer: 16690050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 36 + 6 = 0. Suppose -5 = x*t, -3*f + 9*t = 4*t - 299. What is the remainder when f is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34800 and 881832?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*t - 2058 + 2099 = 0, -4*o - 3*t + 61 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3956603.415 rounded to the nearest one hundred?\nAnswer: -3956600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*f**3 - 7*f**3 - 9*f**3.\nAnswer: -94*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -501 - 715 + 102 - 1771*w**3 wrt w?\nAnswer: -5313*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82.56 - -83.56. What is the closest to 1\/3 in 0.27, t, -2\/19, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14888 + -465669\nAnswer: -450781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1203, -1254, -1305, -1356, -1407?\n\"Answer: -51*p - 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29456*f*t*y + 19*f*t - f + t + 27 with respect to y.\nAnswer: 29456*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20588538 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 7093 = 1692. Suppose -179 - q = -6*h. Calculate the remainder when h is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 60 = 3*y, 3*u = -4*y + 2*u + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12999 + 13000. Which is the third smallest value? (a) 2\/9 (b) p (c) 2\/3 (d) -2\/7 (e) 9.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 10*g - 251. What is the remainder when g is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81244781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 5*w + 11. Suppose 0 = -4*n + h + 217, 2*n - 67 - 37 = 2*h. Let k = 100 - n. What is the remainder when k is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169239\/7964 - 1\/1991. Let h = -21 + t. Let f = 13\/7 + -74\/21. Which is the third smallest value? (a) h (b) 2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3164\/(-476) + 21*4\/12.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 2. Suppose -3 - 1 = -4*f. Let k be f + -1 - 6 - 1. Determine h(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -291606, -3, -5.\nAnswer: -291606, -5, -3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eag when three letters picked without replacement from ekeaeawwgeefeee?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 317609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -28. Let p = z + -103. Let k = 66 + p. Which is the fourth smallest value? (a) -5\/2 (b) -0.4 (c) k (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - g**2 - 3*g**2)*(2*g**2 + 3*g**2 - 6*g**2) + 8*g**3 - 50*g**3 + 342*g**4 - 315*g**4 - 25*g**3 - 146*g**3.\nAnswer: 28*g**4 - 213*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191 + -320. Let p = -1638049.07 + 1638178.069691. Let k = p + b. Round k to five decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**3 - 9*g - 5. Let k(t) = -t**3 + t**2. Let v(a) = -5*k(a) + x(a). Let d(m) = m**3 + 3 + 0 + 9*m + 3*m**2 - m - 3*m. What is 5*d(q) + 3*v(q)?\nAnswer: -q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.053, -1, 1\/4, -0.1?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 1246, -3\/2 in decreasing order.\nAnswer: 1246, 4\/3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 889276 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3050 - 1087. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -576 - -574. What is the nearest to 1\/4 in 2\/5, 0, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:26 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*q - 66*q + 1 + 18*q + 27*q - 481*q**2 as i + o*q + r*q**2 and give r.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 585\/819 + 673\/(-168) - -3 and 19\/453?\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, 119 in descending order.\nAnswer: 119, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 86?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -7*y**6\/120 + y**5\/30 - y**3\/6 - 2*y**2. Let h be r(-1). Calculate the highest common divisor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o. Let w = 1 - o. Put -0.2, w, -0.3 in increasing order.\nAnswer: -0.3, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(1724976\/(-21384))?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Work out -0.5 * -85885399.\nAnswer: 42942699.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -1.1. Let p = 5.2165 - 4.232. Let o = p - -0.0155. Which is the second biggest value? (a) m (b) o (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*t**2 + 49*t**2 - 11*t**2 + 2 - 66*t + 64*t to s*t**2 + z*t + x and give s.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 470615?\nAnswer: 1\/470615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(11 - (-2 - -14)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 2331*d - 70967. Determine q(30).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 3. Let m(p) = -p**2 - 4*p + 4. Suppose 2*u + 1 = -5. Let c(y) = u*m(y) - 4*d(y). Let f(h) = 3*h**2. What is c(f(k))?\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - (sqrt(168) + (sqrt(168) - (sqrt(168) + sqrt(168) + 2*sqrt(168)))*1))*4)\/(-3*2*(sqrt(6) + sqrt(24) + sqrt(6))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 575007 = 4*f, 4*f + 431252 = 7*f + d. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 41*z**2 - 29*z - 390. What is the hundreds digit of i(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*v - 64*v + 2 = 0. Let z(r) be the second derivative of 0 + r**v + 4*r + 0*r**4 + 0*r**3 - 2\/15*r**6 + 0*r**5. What is the derivative of z(s) wrt s?\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a factor of 1403317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*(3*sqrt(7) + -1 + sqrt(7) + sqrt(175) + 3) + 5))**2.\nAnswer: 3150*sqrt(7) + 15400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufcuzvccczcccucccvc. What is prob of sequence zzcf?\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(891) + 2 + -3 - (0 + sqrt(891) + -3 - (-2 + sqrt(891) + -5)))**2.\nAnswer: -180*sqrt(11) + 991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 1589.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -293, -1195, -2707, -4835, -7585, -10963, -14975?\n\"Answer: -q**3 - 299*q**2 + 2*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of s*v*w**2 - s*v*w + 18*s*v - 2*s + 2*v - 39*w**2 wrt w?\nAnswer: 2*s*v*w - s*v - 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - z + 3. Calculate q(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 + 48*a**4 - 192*a**3 + 328*a**2 - 252*a + 72 = 0. What is a?\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*x**3 + 392672*x**2 + 77*x - 340092 wrt x.\nAnswer: 108*x + 785344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85778 is divided by 69?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 618 + -618.2. Let n = -0.1 + 4.1. Which is the closest to 5? (a) u (b) -5\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, j: 9, b: 4}. Give prob of sequence jyb.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 2 - 2) + 1 - 0) + 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 101 = -61 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrqbrl. What is prob of picking 1 l and 1 q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -18 (b) -50 (c) -0.381 (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 1. Suppose 0 = 12*v - 13*v - 4*t - 178, 0 = -5*v - 4*t - 874. Let x = v - -176. Calculate p(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i + 2*i - 15*i + 1 + 15*i - 62*i.\nAnswer: -44*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**2 - 53*r + 53*r + (-1 + 2 + 0)*(3*r**2 + r**2 - r**2) - r + 3*r**2 + r in the form z*r + i + u*r**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000082280278 rounded to 7 dps?\nAnswer: -0.0000823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urrwuvuu. What is prob of picking 1 v and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**8\/56 + 16*m**6\/15 - m**4\/4 - 2*m**3 + 2*m - 15. Find the third derivative of s(h) wrt h.\nAnswer: -120*h**3 + 768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.3, -1, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 0.29, 0.2, -3, 25, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0*v**3 + 0 + 0*v + 15*v**2 + 1\/6*v**4 - 1\/60*v**5. Let a be f(2). Solve o = 2*j + 5*o - 16, 0 = -a*j - 2*o + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135077061 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 62*d - 260.\nAnswer: -2*(d - 26)*(d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - (28 - 37) - (-5 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -507808842*z**3 + 1752*z - 59447?\nAnswer: -3046853052*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-75) - (-2)\/5 - 0\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268736, 537509, 806282, 1075055, 1343828?\nAnswer: 1612601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**6\/105 + 4*o**5\/35 - 4*o**4\/7 + 32*o**3\/21 - 16*o**2\/7 + 10*o. Factor q(d).\nAnswer: -2*(d - 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/2)\/(8 - 9). Suppose 4*b = -4*f + 20, 3*b - 3*f - 9 + n = 0. Put 2, -5, b in increasing order.\nAnswer: -5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cucvccvcccvscvc. What is prob of picking 1 c and 1 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*d**2*s**2 + d**2*s + 3*s**2 + 158*s wrt s?\nAnswer: 166*d**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 583.4109894 + -583.316. Let x = 0.095 - k. What is x rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2. Let b(g) = 28*g**2 + 6*g. Suppose 2*j + 8 = o - 2*o, 5*o - 20 = 0. Let c(r) = -55*r**2 - 11*r. Let i(m) = j*c(m) - 11*b(m). Give i(t(h)).\nAnswer: 22*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -23 + 7. Is 24 a factor of ((-106)\/4)\/((-2)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + l - 1 = 0, -2*l + l = -3*d - 1. Suppose -3*i - x + 78 = d, -3*i + 56 = -3*x - 22. Does 17 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - 4*m + m + (3 - 5 + 4)*(m + 0*m + m) + 8*m - 4*m + m in the form g + k*m and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422419, -422368, -422317?\nAnswer: -422266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129\/2 - -64. Suppose -3*d - 15 = 0, 2*t - 2*d = 1 + 3. Put t, 1, x in descending order.\nAnswer: 1, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9756547 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-41)\/(-9) - (-8 + 104\/8). Let r = -1 - -1.3. What is the third biggest value in r, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13f + 8?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000701275 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 93633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -206*z**6 + 2*z**5 + 1542*z**2.\nAnswer: -24720*z**3 + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 9*s + 7. Let o be y(7). Sort 5, o, -2 in descending order.\nAnswer: 5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118929013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**2 + 2*z + 3. Suppose 2*q = -1 - 3. Determine n(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c + 5 = 0. Let t be (c - -14) + (-1)\/(-1). Let o = -9 + t. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1)**2 + 5 + (1*sqrt(6)\/sqrt(3))**2.\nAnswer: 2*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000010 + -1?\nAnswer: 10010000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25688.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 divided by -26?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153)\/51*1333\/129.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139359 = m - 42*m. Find the first derivative of n**2 + 117*n**4 + 0*n**2 - 3290 + m wrt n.\nAnswer: 468*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -26 + (0 - -2 - 3). Let j be (1924\/(-39) - 8) + 2\/6. Let z = k - j. Calculate the smallest common multiple of z and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-21457821\nAnswer: -21457820.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 5*k**6\/18 - 5*k**5\/3 + 5*k**4\/2 + 10*k**3\/9 - 35*k**2\/6 + 5*k - 140. Solve r(d) = 0 for d.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 142 + (2 - 8\/(-4)). Suppose 5*k - u - 174 = 0. Let y(h) = -62*h + 694. Calculate the least common multiple of k and y(11).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/(-6))\/(-11*(-60)\/220)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/7044 and -27\/20848.\nAnswer: 36713328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8397527902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w + s, -20*w - 25 = -26*w + 5*s. Solve f = -m + 5 - 7, w*m = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035590838 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/229122888 and -107\/12?\nAnswer: 229122888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + sqrt(75) + -1 + sqrt(75) + sqrt(75) - (2 + (sqrt(75) - -2*sqrt(75) - sqrt(75)) + sqrt(75))) + -3)**2*-6.\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -19b9?\nAnswer: 1a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, 0.07, -83\/7, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, b: 11, w: 3, t: 1}. What is prob of sequence bnwt?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -2277, -7556, -17839, -34806?\nAnswer: -60137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 427098.4 rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3)*3\/(-15))\/1 + 0\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 197 (c) -350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 130*q**2 - 2070*q + 7. What is the remainder when 2170 is divided by n(16)?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 235723003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 355999 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 172*t**2 - 509*t + 9. Let h be m(5). Calculate the greatest common factor of 735 and h.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 30783 = o, -p - 19*o = -24*o - 15364. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1))\/(-1)*(-4)\/576*-8.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1104, -981, -858, -735?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4447346 + 1054861 = 0. Let q = c - -1004069. Round q to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-2 + -2) - (7 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199751317*y**2 - 389*y - 54319.\nAnswer: -399502634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 460844928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 3 + 4*d + 5 + 3*d. Suppose 0*c = 5*a + 5*c - 10, a + 18 = 3*c. Give j(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c**(-3)*c*c))\/c*c))**19*(c*c*(c*c\/c**(-21))\/c*c)\/(c*c**(2\/37)*c))**(-2\/73) assuming c is positive.\nAnswer: c**(-4\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 4\/(-2))*(-39)\/39. Let n(x) = -3*x**2 - 2*x + 4. Let p(y) = 8*y**2 + 6*y - 11. Give m*p(f) - 11*n(f).\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 b when three letters picked without replacement from bbbvsbvbbbvbvvbbbbbb?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*l = 13*o + 15, 5*l + 25 = -o. Sort -0.1, o, 48\/7.\nAnswer: -0.1, o, 48\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.1 - -14. Let n = -5\/2797 + 137553\/279700. Let p = n + -6\/25. Which is the closest to u? (a) 3 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694.294468 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 205425348, 205425352, 205425356, 205425360, 205425364, 205425368?\n\"Answer: 4*p + 205425344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**4\/4 - d**2\/2 + d - 1. Let m = 591 + -592. Let g(s) = 3*s**3 - 2*s + 2. Give m*g(b) + 2*t(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439933*p - 1190 = -440018*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2296 - 634. List the prime factors of h.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - -3 - 20*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32844?\nAnswer: 2, 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**9\/216 + g**5\/20 + 7*g**3\/3 - 2*g. Let f(j) be the second derivative of i(j). Find the second derivative of f(l) wrt l.\nAnswer: -280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 163810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 5, -3, 0.3, 70565, -1 in increasing order.\nAnswer: -3, -1, -0.2, 0.3, 5, 70565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8738.\nAnswer: 2, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115090 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 121*c**5 - 1650*c**4 + 4680*c**3 + 10800*c**2 + 6480*c - 186. Determine j so that w(j) = 0.\nAnswer: -6\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13b93 - -1b8?\nAnswer: -139b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13038743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2717*b**4 - 2*b**2 + 3*b + 58?\nAnswer: 65208*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3, -27490508?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.957 + 21.093. What is x rounded to 0 dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -31.4. Let m = 0.5 + v. Sort m, -0.4, -8 in increasing order.\nAnswer: -8, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a - 976 = 312 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/5*c**3 + 16\/5*c + 4\/5*c**4 + 4\/5 + 24\/5*c**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in 1, -4\/37, -119?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 278628593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3127654?\nAnswer: 2, 503, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -159, -148, -121, -72?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 75*u**2 - 5*u - 5. Suppose 5 - 1 = -4*l. Is 3 a factor of g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*j - 28 = 0, 8*z + 36 = 12*z + 5*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 2*u**2 - 3*u + 4. Let n be g(2). Let a(z) = 13*z**2 - 3*z. Let h be a(n). Calculate the greatest common divisor of h and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165 + 120*z**3 + 0*z**2 + 67*z**3 - 3*z**2 - 2*z - 118*z**3 wrt z.\nAnswer: 414*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 2*g + 4. Let k = 0.05 - 0. Let c = 0.15 + k. What is the second biggest value in c, g, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + 3 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.15 + -3. Let b = h - 0.05. Let w = 153\/10 - 74\/5. What is the nearest to 2\/9 in b, w, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x - 10*x**2 - 3*x**4 + 11*x**2 - 3*x**2 as c*x + f*x**2 + y*x**3 + j + s*x**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 31150?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i**5 - 699698*i**4 - 3498250*i**3 + 10495050*i**2 + 3498256*i - 9795352 = 0. What is i?\nAnswer: -349834\/3, -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42681 = 7*o - 40*o - 7701. What is the least common multiple of 40 and o?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + -43220?\nAnswer: -43154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 69 + -16 + -34.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, f: 1, e: 3, b: 2}. What is prob of sequence ef?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/2*(55\/(-7) + 8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 4*s**2 - 2*s - 4. Let w(p) = -2*p**3 + 3*p**2 + 2*p + 3. Let r(b) = -3*q(b) - 4*w(b). Find the second derivative of r(k) wrt k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 0)*(104\/(-6) + 2). Let f be (-168872)\/(-1045) + (-3)\/5. Calculate the highest common factor of a and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 8) in base 5?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18877, 27293, 35709?\n\"Answer: 8416*w + 10461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046624719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:39 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -59438 - 174330481?\nAnswer: -174389919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11615 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 21*j**2 - 275*j - 3728. Does 26 divide v(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 664 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1686.985 to the nearest integer.\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -157, -237, -319, -403, -489, -577?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80052181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -308 + 408. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:01 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1842*v - 22*v - 1266*v to j*v + q and give j.\nAnswer: -3130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1002145, 2004923, 3007701, 4010479, 5013257, 6016035?\nAnswer: 7018813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.2 - 10.9. Sort v, 32, 5 in decreasing order.\nAnswer: 32, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + -3.79. Let d = s + -0.18. What is the nearest to -1 in 0, d, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 1. Let o be p(-2). Let d = o - -26. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/((-21)\/(-15)) - (-1436)\/(-2513)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 1773 - 473. Suppose -77 - f = -i. Suppose 5*q + 197 = 3*t - 34, 3*q - i = -4*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.2 - 7.2. Let o(s) = s**3 - 4*s**2 - 10*s - 5. Let f be o(6). Which is the smallest value? (a) -1\/8 (b) p (c) f (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -20. Let z = -6 - -9. What is the second derivative of 4*f**3 + f + 5*f**z + r*f**3 wrt f?\nAnswer: 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 13*t - 7. Let l be d(12). Suppose -l = o - 8. Solve -o - 7 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 4, -28 in descending order.\nAnswer: 23, 4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbn. What is prob of sequence bj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -484 divided by -17?\nAnswer: 484\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1660 = 55*f - 355 + 90 - 1265 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxr when three letters picked without replacement from {d: 1, r: 1, x: 2, n: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from nporppnnrrpnrrrprr?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 f when four letters picked without replacement from {o: 3, f: 3, r: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3629917 is divided by 263?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-884)\/(-4))\/17*(-5)\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 342\/26 + (-2)\/13. Suppose s = c - 9. Calculate the least common multiple of c and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 - (4 + -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.306164 + 0.10618. Let w = -0.2 - c. What is w rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*h - 5*m + 120, -136*h - 461*h + 120 = 5*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*(-1)\/(-10) - (-33)\/15. Solve 2*r = 5*r + 5*w, -k*r - 2*w - 9 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(-1*sqrt(110) - sqrt(110))*-3)\/((sqrt(490) - sqrt(490)*1 - sqrt(490))*-2).\nAnswer: -12*sqrt(11)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**4\/12 - 89*x**3\/6 + 439*x**2 - 2. Determine i(43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 7*l - 1. Let j be (-8)\/(-32)*-8*10\/4. Determine q(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 2, -180 in descending order.\nAnswer: 5, 2, -5, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 20*w**3 + w**2 + 60*w - 76. Calculate x(6).\nAnswer: 4640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 10*h = -18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-1))\/(d\/d**(-1)))**(7\/9))**(-7) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1440*b - 7136. Determine a(5).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*p + 2 - 4)*(30 + 61*p - 30 + (-2*p + p + 0*p)*(3 + 0 - 2) + 2 - 2 - 2*p).\nAnswer: 116*p**2 - 58*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 0*c**3 - 11 + 2*c**3 + 42*c + 12 + 12 - 83*c**2. What are the prime factors of a(41)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*j**3 - 4*j**2 - 11618*j - 204*j**3 + 11618*j + 4*j**2.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26089309229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**6 - 1378*o**3 - 26*o**2 + 68*o + 5 wrt o?\nAnswer: -120*o**3 - 8268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 101332 (base 7) to base 12\nAnswer: a034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -10 + v - 2*v - 4*v + 4*v. Let i be f(0). What is the lowest common multiple of 858\/65 + 2\/i and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 165*s - 38. Let u be d(3). Suppose n = -168 + u. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8013412201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 31300?\nAnswer: 31314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 5*b + 9. Let m = -38 - -45. Suppose -2*u - m = -o + 2*o, 0 = u. Determine y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -4226488.\nAnswer: 8452976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j + 14. Let a = -11 + 37. What is the remainder when p(6) is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/53)\/t**(-8))**(-48) assuming t is positive.\nAnswer: t**(-20448\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 179 = -20*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 14*g**2 - 3 + 4*g**2 - 24*g**2 + 4*g + 11*g**2. Let l be u(-3). What is the first derivative of 4 - 3*v + 6*v + v + l*v wrt v?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0238249 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 1:41 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 25, 2*p - 4*p - 35 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 * -87.\nAnswer: -382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 10 = 5*n. Let h(g) = -24 + 11 + 140*g + 16. Does 24 divide h(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*((-120)\/14)\/(-6).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136430904 to the nearest integer?\nAnswer: 11680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3755461*x**2 + 1444842*x?\nAnswer: -7510922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15*m - 1. Let y = -1 + 5. Suppose 3*g - 3*q = -8*q - 2, -2*q - 32 = -y*g. Is i(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/12*9)\/3. What is the highest common divisor of 3 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, 4, -10280, 2\/11 in decreasing order.\nAnswer: 4, 0.4, 2\/11, -2, -10280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1252 + 7513\/6. What is the closest to -1 in 15, 3, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19702369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 80, 4.\nAnswer: -113, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/63, -8\/35, -3, -1660 in ascending order.\nAnswer: -1660, -3, -8\/35, 2\/63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 81*v - 82*v + 31, v - 61 = 11*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5999983.97 to the nearest 10000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 5*o**2 - 4*o + 2. Calculate the remainder when 1345\/25 - (6\/10)\/(-7 - -4) is divided by f(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 329 - 203. Suppose 6*s - 3*s = -4*t + 168, -q = -3*t - 3*s. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from uuw?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 549\/2)*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {b: 1, c: 4, g: 1, l: 2, x: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -11. Suppose -z = 3*k - 39, -41 = -x*k - 2*z + 1. Solve -3*c + 6 = 0, -g + 0*g = -5*c + k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166510?\nAnswer: 2, 5, 157, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61555?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r - 1. Let v(l) = -l**2 + l + 1. Let g(x) = 3*x**2 - 19*x - 17. Let n(t) = -g(t) - 4*v(t). Suppose -25 = 7*f + 73. Let s be n(f). Determine k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*l + 48 = 0, -2*r + 5*l - 86 = 1. Let n be ((-3)\/r)\/((-8)\/(-36)). What is the smallest value in 0.08, n, 0.4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -168339*n + 40549.\nAnswer: -168339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5058304*u**2 + 10116514*u**2 - 5058525*u**2.\nAnswer: -315*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -53 + -14 + 29 + 13 + -1 + -6\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.73 and -1239187?\nAnswer: -904606.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 37*u**3 - 2*u**2 - u + u**2 - 1 + 39*u**3 + 4*u**2. What is the units digit of k(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 2*p + 1. Let g be l(2). Suppose g = -3*n + 10. Suppose 11 = a + n. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 611 = 4*x, -2*x + 0*x + 5*u = -293. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 45*y**2. Let d(v) = 4*v**2. Give d(b(n)).\nAnswer: 8100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -13*x + 6*c + 129, -2*c - 109 = -4*x + c + 2*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 618 and 374136?\nAnswer: 38536008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + sqrt(1008) + 1 - (0 + sqrt(700)))**2 - (-5*(sqrt(252) - (sqrt(252) + 2)))**2.\nAnswer: 28*sqrt(7) + 1273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012222101 - 12112222?\nAnswer: 1000102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = -3. Let c(n) = -122*n - 2562. Let d be c(-21). Solve -z*h + 4*h + 6 = d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 19*x + 0 + 26*x - 1 + 1.\nAnswer: 45*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f4cc4 + -e?\nAnswer: -f4cd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huuumumm. Give prob of picking 1 h and 2 m.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyzy. Give prob of sequence yc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*c + 1 - 124*c - 266*c**2 - 3 to i + v*c**2 + q*c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 99*a**2 + 210. Let l(d) = 49*d**2 + 105. Let t(j) = -10*l(j) + 6*y(j). Find the first derivative of t(w) wrt w.\nAnswer: 208*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*q + 85*q = -378. Let b = 0 + 2. Suppose -f - q = -4*a - 503, 2*f = b*a + 904. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 13*f**2 + 89*f - 35. Determine s(-6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -45. Let o = 1 - z. What is the second derivative of -6*k - o*k**5 - 2*k + k wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 49597*m\/2 + 495995\/4.\nAnswer: -(m - 99199)*(m + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -664 - -686. Solve -f = -5*n - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -31.9. Suppose 3*j - 4*m + 3 = 0, 0 = -0*m - 2*m. Is z smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -825, -2997, -7277, -14385?\nAnswer: -25041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**4 - 2500946*y**3 - 226*y**2 - 1555*y.\nAnswer: -48*y - 15005676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-2534)\/56)\/((75\/12)\/5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 30*h - 45. Let t = -19 - -47. Let n be v(t). Let p(k) = k**2 + 2*k + 7. Let r be p(3). Calculate the highest common factor of r and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + 3992\/(-444))\/((-2)\/(-14)). Is 0 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from qpyqwypywupypp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20826 is divided by 194?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.13 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14099772 times -1.2?\nAnswer: -16919726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*j + 62 + 108 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051032.\nAnswer: 2, 3, 43793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 12. Solve b - 3*b - h = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 78 + 94 = -4*u, -b = -4*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 42046, 4, 15 in descending order.\nAnswer: 42046, 15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 0*h**2 + 6*h**2 + (-2 + 3 + 1)*(7*h**2 + 3 - 81 - 31).\nAnswer: 17*h**2 - 218","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28963?\nAnswer: 11, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*i = 8, -6*i = 2*b - i - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -40 - (32 - (4 + -9 - -7) - 4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 30 = -5*d, 2*c + 2 = -d - 3*d. Solve -h**c + 0*h**4 - 597*h**2 + 598*h**2 - h**4 + h**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 3*z**7\/2 - 5*z**4\/4 + z**2\/2 - z + 3. Find the third derivative of t(m) wrt m.\nAnswer: 3780*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4653 + -4470. Calculate the remainder when 16835 is divided by d.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253411401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/20)\/(-9) + 539532\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18448 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398441?\nAnswer: 398441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3398*u + 74240. Give o(-24).\nAnswer: -7312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.089, -7, -15\/2, 5, -36?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/4 - 67\/36. Which is the nearest to -0.1? (a) k (b) -4 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 21911760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3630138049.\nAnswer: 83, 43736603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 7972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 5185116.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 298141866 - 298141866 + 2802*l. Let h(g) = 2*g. What is c(h(u))?\nAnswer: 5604*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 17 = -10. Suppose 3*l = -12, 4*l = -2*d - l + 8. What is the remainder when a is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 331025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3, -q - 3*h = 10 - 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28686013 is divided by 1167.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 2*k. Let a(x) be the third derivative of 1\/24*x**4 - 32*x**2 - x + 0*x**3 + 0. Give -10*a(y) - 5*h(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.4, 40, -3\/7, -3, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 28*c**2 - 5*c + 7. Let h be k(3). Let a = h - -141. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + s - 2. Suppose -71 = 5*i - 56. Calculate a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 77. Calculate the smallest common multiple of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1039 + -1036. Solve 12 = 3*g - k*f, -4 = 3*g - 7*g + f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 5. Let y be n(-7). Suppose l - 3 = -r, -6*l + 34 = -4*l - 5*r. Find the third derivative of -3*x**3 - 7*x**3 + y*x**3 + l*x**2 wrt x.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4968121, -4968122, -4968123, -4968124, -4968125?\n\"Answer: -h - 4968120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 g, and 1 r when four letters picked without replacement from grppfsfxpsxgfp.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 9*b**2 - 15*b + 9. Let i be j(-7). Solve 2*d + i = -5*x, 2*x = -2*d + 1 - 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/2 - 15*n**3 + 18*n**2 + 60*n - 96.\nAnswer: 3*(n - 8)*(n - 2)**2*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 12*j**2 - 10*j**2 + 0*j**2 + 21*j + 48*j as i + y*j**2 + z*j and give z.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/21 and -85\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 1:18 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v - 195. Let k = 43 + v. Suppose -k*l + 532 - 96 = 0. What are the prime factors of l?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*(sqrt(9)\/sqrt(3) + sqrt(3)) - (-1 + sqrt(3) + -5)).\nAnswer: -27*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6326*r + 113871. Let f be l(18). Let b = 19\/7 - 111\/28. What is the nearest to f in -4, -13, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*4\/(0 - 4). Suppose 0 = -2*k + 1 + n. Let h be (-2)\/(-5) - 18\/(-5). Solve -4*q = -k - h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p = -42*p - 3*c + 11, 11 = -p - 5*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 100011110 (base 2) to base 4\nAnswer: 10132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - z = -5, 0 = 2*t - t - 2*z. Which is the third biggest value? (a) t (b) -120 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -48. Suppose 2*h + 5*z - 1276 = u, -4*h + 3*h + 5*z = -623. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2317 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*g - 25*g + 20. What are the prime factors of (-18469)\/(-143) + g\/(-26)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*c + c + 3*c + 5*c + 3*c - 6*c + (0 + 3 - 4)*(-184 + 184 - 25*c) - 2*c - 3*c + 2*c.\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -841?\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2 = -2*n, 4*n = b - 143. Suppose 459 = 2*g - b. Suppose -5*t = -2*t - g. Calculate the highest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8761.904l?\nAnswer: 8761904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*g - g = -2*f - 11, 2*f + 27*g - 6*g = 155 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 13*l + 4. What is f(10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9401.4 less than 848?\nAnswer: 10249.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (sqrt(114) - sqrt(114)*-1)\/sqrt(6)).\nAnswer: -15 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 217825\nAnswer: 871300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*h**2*w**3 + 8657494*h**2*w + 25784*h*w**3 + 6*h*w**2 + w**3 wrt w.\nAnswer: 270*h**2 + 154704*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113094 at least as big as 113065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4755672 to 3 decimal places.\nAnswer: 0.476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2580*l + 7831*l - 2623*l - 2575*l.\nAnswer: 53*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 23*b + 45. Let n be v(-21). Let t = -0.11 + -3.89. What is the closest to 1 in 1\/4, n, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/39 - 372\/(-2418) - (0 + 63)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421102 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 p*p**(2\/21)*p*p**0*p\/(p\/(p\/p**7))*p**(6\/13) assuming p is positive.\nAnswer: p**(-940\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = g + 6, -g + 6*g - 39 = 3*y. Calculate the remainder when g is divided by ((-2)\/12 - 210\/(-180)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/((-5)\/30*1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6908429066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*15\/100.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 2*i - 25 - 7, 13*i - 18 = 3*r - i + 121 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 4, 1, 0.1, -19\/3.\nAnswer: -19\/3, 0.1, 0.2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00526136 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 11829630*k + 11829627.\nAnswer: 3*(k - 3943209)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 1. Let l(m) be the first derivative of -2*m**2 - 14. Let a(z) = l(z) + 3*p(z). Let o(t) = 2*t + 4. Calculate -3*a(i) - 2*o(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1154*v - 559671. Determine k(-485).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.18 (b) 0 (c) 9 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-125))\/(198\/60)*(5\/(-4))\/5.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3630\/(-1100) - 6\/(-2). Let p be (-4)\/6*(-3)\/40. Let q = p + r. What is the common denominator of q and 39\/74?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 2*j**3 - 9*j**2 + 257*j + 20. List the prime factors of y(12).\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -477 - -479. Let b be j\/2 + -4 + (-8)\/(-2). Let k = 21\/170 + -8\/51. Is k smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 15. Let b be -1*3\/3 - -4. Suppose -7 = -5*n - z, -z + b = 5*n - 2*n. Solve n*g = -k + 1, -3*k - w = -g - 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*m - 13, -2*o - 1 = -5*m + 9. Is 12 a factor of ((-24)\/o)\/((-2)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/6 + 131\/78. Let l = 0.26 - -0.14. Let z = 4.05 + -0.05. What is the third smallest value in z, n, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlljfvfs. Give prob of picking 1 f, 1 s, and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + -23. Let u = -44 - m. Let j(y) = -32701*y + 1. Let p be j(u). What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*y + 2*y. Suppose -13 - y = -5*v. Solve -v*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -11) + 10 + 186 + -81 + -16.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-15)*(0 + -1). Let g = -0.023 + 0.022. Let p = 0.399 - g. Which is the nearest to i? (a) 5 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.2 + -10.2. Which is the nearest to z? (a) -2\/23 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2536 - 5515?\nAnswer: -2868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -19\/4, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235 a factor of 318039668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let l = 121 + -124. Let q(f) = -66*f**2 - 3*f + 6. Let r(c) = 67*c**2 + 2*c - 4. Let k(y) = l*r(y) - 2*q(y). Calculate k(h(n)).\nAnswer: -69*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4166 + -4166. Solve 11 = 4*i + 11*z - 8*z, -i - 5*z + 7 = t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 3*t = 3*j + 98, -8 = 4*t. Let d = -15 + j. Is 14 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132530803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22835027*x**4 + 10012877*x?\nAnswer: -274020324*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2491 or -13?\nAnswer: -2491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9925964 litres to millilitres.\nAnswer: 992.5964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {e: 1, t: 1, x: 1, q: 2, p: 1, l: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 2*q**2 - 2*q. Let p be y(-4). Let d = p - 34. Is 4\/5 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-9)*(-21)\/(-2). Let w = 2 + -2. Suppose w = -2*a - l + 1003, z*a + 5*l - 2021 = 3*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2)\/((-1 - 0)*2). Let p(k) be the second derivative of 0 + 0*k**2 - 3*k - 1\/6*k**3 + f*k**4. What is the second derivative of p(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w**2 + 82*w - 16. Let x(d) = -6*d**2 - 80*d + 14. What is -5*b(f) - 6*x(f)?\nAnswer: f**2 + 70*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 0. Let s(a) = a - 14 - r + 20. Determine s(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*f + 510 = 0, -208*n + 2*f = -209*n + 84. Calculate the greatest common factor of 27744 and n.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184559932.\nAnswer: 2, 103, 447961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 4673 = -5057. Suppose 4*j - u = -163. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h**3 - 3*h**2 - 4*h + 9. Is k(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i. Let z = 2\/10201 + 193813\/30603. Let q(y) be the first derivative of -24 + 0*y + 0*y**2 - z*y**3. Give l(q(o)).\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.884 and 0.1304?\nAnswer: 0.1152736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7613 - 4833. Suppose -s = -0*s. Suppose -2*b + 738 + m = s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)*f**(-11)*f*f\/f**2*f\/f**(-2) assuming f is positive.\nAnswer: f**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 4*b = -5. Is b at least as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-528)\/369 + (-144)\/(-108))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + 1 + sqrt(1331) + 3 - -2*(-3 + sqrt(1331))*-5)**2 + 5.\nAnswer: -7722*sqrt(11) + 109332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 132319128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m**2 - m. Let j be (3 - -1)*(37 + -39). Let p = 9 + j. Determine r(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by -21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*13*72\/48*(-8)\/(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 11*i - 10. Let y be h(-12). Suppose -9*l + y*l - 42 = 0. What are the prime factors of (-5 - l)\/(2\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 303620371*h**6 + 125*h**2 + 11*h + 36000.\nAnswer: 36434444520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (749\/(-7))\/(-1)*1. Suppose -h*j + 106*j = 5. Let v be 0\/1 + (-10)\/(-15). What is the biggest value in 14, v, j?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) 61 (c) -0.4385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = 9*a - 3, 2*a + 6 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1573 or -7\/5?\nAnswer: -1573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239600137 = 172*h - 239606845 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12258\/(-42903)*((-10)\/(-4) + 2)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let c(f) = -5*f**2 - 3*f**2 - 17 + 4*f**2 - 14. Calculate a(c(h)).\nAnswer: 4*h**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/2, -244\/5, 7, 25, -2, 0?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -89 + (-22 - (67 - 198))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 27*j = 28. Calculate the greatest common factor of j and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6815, 13687, 20643, 27695, 34855, 42135, 49547, 57103?\n\"Answer: 2*m**3 + 30*m**2 + 6768*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c. Let k be r(-1). Let o be k\/3*3\/(-2)*5. Let d be (45\/30)\/((-3)\/o). Calculate the greatest common divisor of d and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-1\/9))**(-6\/19)\/(j**(-17)*j**14))**(5\/8) assuming j is positive.\nAnswer: j**(755\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1092168120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 158 and 711.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 19 - (0 - (0 - 2))) + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 14 - 28 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2654 + -367.\nAnswer: -367.2654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1024 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 0 - 1\/30*q**6 + 0*q**2 + 0*q**5 + 0*q**3 - q + 1\/3*q**4. What is the third derivative of a(u) wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2106361 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8427 and 318.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -60?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128280, 256692, 385104, 513516?\nAnswer: 641928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4034 times 4?\nAnswer: -16136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + s**3 - 23 + 48 - 48*s - 22 - s - 8*s to l*s**3 + i + m*s + x*s**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-1848)*-88)\/(4\/14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 1 - 5*p**2 - p - p**2 + 4*p**2. What is a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 + 5.06. Suppose -q - 3*q = 8. Let a be 1\/(-2)*((-68)\/20 + 3). Sort r, a, q in descending order.\nAnswer: r, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.1 * -0.03.\nAnswer: 1.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*y**4 + 26*y**3 - 749 wrt y?\nAnswer: -80*y**3 + 78*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*f = -7*f, 2*a = 2*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 6*c**2 + 39*c + 9. Determine h(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrlwrslsrsrrlrrlr.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4)\/((-2)\/(-156)). Let x(j) = g + j - 39. Let i be x(3). Solve -2*p = -i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdy when three letters picked without replacement from {d: 1, n: 1, k: 1, l: 1, y: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576491 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*y - 3*y. Let p = y + -3. Let i(a) = -2*a + a**2 + a**2 - a**2 + a + p. What is i(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29943\/2 + -14971. Which is the second biggest value? (a) p (b) 0.091 (c) -2\/5 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89\/(-356)*(-12)\/(-93)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-8 - -5) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 648.7587 minutes to milliseconds.\nAnswer: 38925522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 6*m - 20. Let k(d) = d + 2. Let h be k(-2). Suppose -5*x = -m - h. Solve 4*n - 8 = -i, -x + 3 = -i - n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 21*t**2 + 7*t + 2431. Is x(76) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 1. Let o be l(5). Let r be (-1 - 1)\/(-17 - o). Differentiate 0 - 7 - r*c - 1 with respect to c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*t - 9051 + 975, 0 = 3*t + 6. Suppose -2521 = -5*p - 3*d, -4*p + s = -0*d + 2*d. What are the prime factors of p?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -431.6 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 3*q**2 + q - 278. Let v = 4 - 2. Determine i(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 42 = -5*f + f, -65 = -5*f - 5*p. Suppose -3*g = f*g - 33. Let n(k) = k**3 + 2*k**2 - 4*k. What is the units digit of n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -851*p + 53*p**2 - 2584*p - 4906*p - 44*p**2.\nAnswer: 9*p**2 - 8341*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -7. Let n be 348\/(-720) + (-6)\/(-15). What is the second biggest value in n, w, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/21300 and -1\/60.\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -36*t - 25*t + 118584. Calculate the greatest common divisor of 204 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (14 - 12) - (2 + -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 318373 and 4.\nAnswer: 1273492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818451552 to the power of 1\/2, to the nearest integer?\nAnswer: 42643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 472 + -108. Is 52 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7.1. Let w = -566\/7 + 81. Put z, -4, w in descending order.\nAnswer: w, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*f**2*t + 190662*f**2*v**2 + 3*f*t*v + 184*t*v**2 + v wrt t?\nAnswer: -58*f**2 + 3*f*v + 184*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/5 - 0. Suppose b + 7 = -5*l + 45, -4*l = b - 30. Let g be (2 - l - -5)*-3. What is the closest to -0.04 in g, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i + 3. Let j be u(-2). List the prime factors of (-3)\/(((-9)\/(-39))\/j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16140*d**3 - 62565*d**2 wrt d.\nAnswer: -96840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.5100003.\nAnswer: 0.5100003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or 1286\/35?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 0.3. Suppose -2*n = 3*n. Suppose -m = -n - 3. What is the biggest value in m, z, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -41*g**3 - g**2 - g - 1. Let s be j(-1). Let w = s - 25. Let i = w + 7. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 - 2 + u + u**2 + 0*u + 2*u**3 + u**3 to the form b*u**2 + n*u**3 + v*u + a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -127, -361, -679, -1075, -1543, -2077, -2671?\nAnswer: -3319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237 + 237.109. Round c to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3510*v**3 + 0 - 2890*v**3 + 186*v**2 + 0 wrt v.\nAnswer: 3720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) -4 (c) -5 (d) 2 (e) 1\/3 (f) -1\/494\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23065, -23132, -23199, -23266, -23333?\nAnswer: -23400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -14*h + 2 + 1\/24*h**4 + 1\/3*h**3 + h**2. Solve g(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 50627 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - a17?\nAnswer: -a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/2223 and -47\/114.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**4\/12 - 203*r**2 + 4*r. Let x(t) = -6*t**2 + 18*t + 18. Let q(b) = -b - 1. Let h(u) = -72*q(u) - 4*x(u). Give h(z(w)).\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -259 and -277 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, h: 2, l: 4, w: 2}. Give prob of sequence hlx.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -499*r**6 + 2195*r**5 + 5*r**3 - 2*r**2 + 26758*r - 261.\nAnswer: -59880*r**3 + 131700*r**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5605b (base 13) to base 14.\nAnswer: 40c35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5467 (base 9) to base 16.\nAnswer: -fbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0.2, -5437, -1\/8, 666\/23?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -116. Calculate the remainder when f is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -n + 2*n - 73, -3*n + 3 = 0. Suppose -37 = -2*u + 59. Suppose 38*a = 50*a - u. What is the highest common factor of a and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2\/(0 - -2). Suppose f = 5*l + 2*k + 36, 4*l + 21 = k - 13. Let n(b) = -b**3 - 8*b**2 - b + 9. Is 6 a factor of n(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-7 - -7) + (0 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - l**2 + ((3 - 1 + 0)*(-l - 2*l + 2*l) - 4*l + l + l - 387*l - 449*l + 762*l)*(-l + l + 2*l) to m*l**2 + h*l + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 12. Suppose 47 - 11 = v*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q*q**(-25\/3))*q*q**(2\/13) assuming q is positive.\nAnswer: q**(331\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {l: 2, o: 1, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 625, 938, 1251, 1564?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92388752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17333.895 months to decades.\nAnswer: 144.449125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8114 and 15\/2399?\nAnswer: 19465486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.07 - -0.07. Which is the nearest to 1\/6? (a) l (b) 5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 17*h**2 + 20*h + 23. Give f(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 8 = -b, -2*b + 2301 = -y + 2308 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 16*a - 2. Let z be y(8). Let c be 8 + -10 + (-8)\/z. Solve -t - 4 = -c*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by 425751.\nAnswer: 92\/425751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 4:17 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + -3*(sqrt(2) + -1) + (-6*sqrt(144)\/sqrt(8))\/sqrt(9))**2 + 3.\nAnswer: -90*sqrt(2) + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100503 (base 9) to base 6.\nAnswer: -20355350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 746, -33 in decreasing order.\nAnswer: 746, 2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.8 or 116\/3117?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*m**3 + 142*m**3 - 11177*m**2 + 11177*m**2 + 134*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7594 (base 10) in base 13?\nAnswer: 35c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**3 + s**2 + 2*s - 4. Let z be g(3). Let u(r) = 10*r**3 + 2*r**2 - r - 1. Let b be u(-2). Let t = b - z. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336402.\nAnswer: 2, 3, 11, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(3 - (-15)\/(-10)). Let b(a) = -a + 9. Let w be b(6). Let p = w - c. Solve -y + p = -2*q, 4*y - 5*q = 3 - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.82 + -3.82. Which is the third smallest value? (a) -2\/3 (b) u (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.57365 and 3.\nAnswer: 1.72095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6587 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -841690 divided by -10.\nAnswer: 84169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-16)\/20)\/(11\/(-165))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Let o(w) = -20*w**2 + 11*w**2 + 15*w**2. Determine m(o(x)).\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -976092*a**2. Let x(i) = -13*i**2. What is r(x(k))?\nAnswer: -164959548*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/138890 and -161\/4184244.\nAnswer: 397503180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 4 - 49 + 5*n as w + i*n and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, -1, 723 in decreasing order.\nAnswer: 723, -1, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3 - 132*j**2 - 54422*j + 164400 = 0 for j.\nAnswer: -137, 3, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Round 950.604 to the nearest integer.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from xexbs.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4093680 and -57\/2470960.\nAnswer: 274276560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 176?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2248 - 44. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 15*n**2 + 2. Let w be -3*2*20\/8. Let k be x(w). Find the third derivative of -b**2 - b**2 - 5*b**k + b**5 wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3\/(-18)*381\/(-127).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -18. Let h be (-2 - -1)\/(3\/36). Let d = j - h. Solve 3*c - d*g = -0*c + 11, -2*c = -g + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -66, 0.6, 2\/9, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d - 21. Let j(n) = -n**2 - n - 1. Let t(s) = 5*j(s) + v(s). Let f be t(-6). Does -73 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -12, -33, -54, -75?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 6:18 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - 9)*10\/6. Suppose 2*v = -3*v - k + 23, 4*v - 31 = -5*k. Solve d*p = v*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*q - 15 = -2*v, -4*v - 2*q = -12. What is the highest common factor of 111 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 21, -14, -2\/17, 5\/4, 1\/9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/(1\/5). Let d be (2 + -1 - t)*4. Find the common denominator of 43\/6 and d*(-12)\/512*44.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -74935.\nAnswer: -4\/74935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -16, 862.5, 3, 19 in decreasing order.\nAnswer: 862.5, 19, 3, -0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*-3*-4*sqrt(68))\/(sqrt(16)\/(3*sqrt(256))) + 5.\nAnswer: -10368*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 34\/3)\/(889\/(-29337)). What is the closest to 2\/3 in 3, 0.05, c?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = 3*b - 2, -4*b + m + 18 = 0. What is the first derivative of 3 - 4*v**b + 2*v**4 - 5 wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f - 6. What are the prime factors of c(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/42146 and 113\/14?\nAnswer: 295022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 - 1 = 0. Let h = x + 6. What is the highest common factor of h and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5066 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30854.59 - 30204. Round h to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, v: 3, x: 1}. What is prob of sequence kx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1132?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 3 = 2*s - 4*u, 5*s - u = -26. Let h = -27730 - -27730.09. What is the third biggest value in s, h, 0.08?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 24 - -35 - 28.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + d - 1)*(-105 + 47 - 2 + (3 - 2 + 0)*(-6 + 4 + 1) + 0 + 4 - 2) as r + s*d and give s.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, -46, -151, -310, -529?\n\"Answer: -b**3 - 18*b**2 + 4*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 8*x - 9. Let t be p(-6). Suppose 5*q - s + 32 = 2*s, -s + 16 = -t*q. Suppose n - 6 = -3*k, -3*n + 84*k - 79*k = 24. Are n and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1200 (base 3) to base 13\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10943 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(468) - (sqrt(13) - sqrt(117)*-4).\nAnswer: -19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 1 + 1)*(-11*o + 8*o - 11*o).\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11305 and 475?\nAnswer: 56525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*f - 415 + 466 = 1836 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 399 and 3780.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 55. Calculate the greatest common divisor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 3, -10 in decreasing order.\nAnswer: 3, -3, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i + 12. Let o(g) = -13*g - 11. Calculate -6*o(u) - 7*w(u).\nAnswer: u - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i**3 - 7*i**2 - 38*i - 6. Let b(a) = -7*a**3 + 6*a**2 + 37*a + 5. Calculate 7*b(h) + 6*v(h).\nAnswer: -h**3 + 31*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 326689690177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4239206047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + s - 4. Let p(l) = -3*l**2 - 5. Suppose 3*q - 39 - 24 = 0. Let r be 4\/20 - q\/5. Let f(x) = r*j(x) + 3*p(x). What is f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1149 + 521 - 3891 - 3938 + 291)*(0*v**3 - 2*v**3 + 0*v**3).\nAnswer: 11736*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2700471690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 3*r + 2. Let x be i(5). Let l = -8 + x. Sort 3, l, -2 in descending order.\nAnswer: l, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 + 4*c. Let r be ((-2)\/3)\/(18\/81). Let w(p) = -p**2 + p. Determine r*f(q) + 12*w(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780260 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/5)\/i)*i\/(i\/(i*i**(-7\/5)*i)*i))\/(i**(-2)\/i*i\/(((i**2*i)\/i)\/i)) assuming i is positive.\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54637867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54495*l - 54710*l - 22790 = 0 for l.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*b**3 - 8 - 6 - 27*b**3 - 18*b**3 wrt b.\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9*f - 65686 = 0, -3*w + 76027 = 3*f - 120839. List the prime factors of w.\nAnswer: 2, 53, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j**2*j)\/j)\/j)**18*(j\/(j**(-1\/4)*j)*j)**(3\/5) assuming j is positive.\nAnswer: j**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -76*o + 64. Is 8 a factor of t(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x = p - 87, 0*x - 14*p - 5 = 7*x - 8*x - 9*p for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = 164426 - 17841. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (578\/51 - 32\/4)\/(2\/57). Solve 52*c = 33*c - n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-93 + 13)*-1*(16 + -4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 + 226. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -1, 718, -260 in decreasing order.\nAnswer: 718, 6, -1, -4, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 4*l, -3*u - 57 + 44 = l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1690428 is divided by 324.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 915*x - 918*x + 26, 0 = r - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Let r = -9.17 + 9.1. Put 4, p, r in decreasing order.\nAnswer: 4, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164658.8024 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5, 674295 in decreasing order.\nAnswer: 674295, 2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 523493051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -29. Let w be 2\/6 - 20\/6. Let b = f + w. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-8)\/c)**(-43) assuming c is positive.\nAnswer: c**344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*i - i - 1 + 45*i)*(-3 + 3 + 6*i**3).\nAnswer: 156*i**4 - 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 128, 213, 332, 485, 672?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q + 18. Let z = 46 - 36. Let p be l(z). Let x = 56 - p. What is the nearest to 0 in x, -2\/21, -0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from tkpqktjmtttmtmmmt?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 2*w**2 + 5*w - 4. Let u(y) = y**3 - 7*y**2 + 6*y + 4. Let q be 11\/(11\/(-6))*-1. Let x be u(q). What is the units digit of n(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9029 + 9.9029. Which is the nearest to 0.09? (a) z (b) -1\/4 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -23. Let u = g - 20. Suppose 141003 = 3*a - d, u*a - 2*d - 3*d - 94015 = 0. Round a to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 p when three letters picked without replacement from zzppfpfpzppzpfzzpppf?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.286073*-2.\nAnswer: 0.572146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 6:54 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -472 + 598?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:36 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than -60992?\nAnswer: -60991.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7235, -14462, -21689, -28916, -36143?\nAnswer: -43370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -345 - -344.9. What is the closest to 0.1 in 0.2, o, -0.062?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.22 - 0.85. Let j = 0.47 - k. Let g = 0.099985 - j. What is g rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29139.13ug to milligrams.\nAnswer: 29.13913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -5\/4, -2\/7, 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1468058 + 17?\nAnswer: -1468041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.750889 and -3.\nAnswer: -2.252667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11 - (-2 - 348\/(-72)) and -8\/1803.\nAnswer: 3606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2091 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 greater than or equal to 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-14 - (-10 + 1)) - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**3 - y**2 + 2448*y - 7209. Calculate n(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-5))\/(2\/(-10)). Suppose r = -4*s - 1. Let b(d) = -9*d. Give b(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -7\/2*z**2 - 3 + 0*z. Let p(k) = 3*k**2. Let d(c) = c**2. Let a(u) = -2*d(u) + p(u). Give h(a(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 393 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 4*w - 1. Let o = -4 + 3. Suppose k + 2 = 6. Let u = o + k. Calculate a(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 56\/4 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*f**2 - 74*f**2 - 31*f**2 - 15*f**3 + 18*f**3 - 88*f**2.\nAnswer: 3*f**3 - 346*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1790.91 + 1799. Let y = 1.37 + -0.66. Let v = y + o. Round v to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2200 from -12.\nAnswer: 2188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-12))\/(2\/(-18)). Let k = -1 - -0.8. What is the nearest to 2\/3 in h, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - j**3 + (2*j + 3*j - 2*j)*(j**2 + 2*j**2 - 5*j**2) + 4*j**3 - 5*j**3 - j**3 + (-5*j - j - j)*(2*j**2 - 7*j**2 - 7*j**2).\nAnswer: 75*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 11. Suppose -j*r - 719996 = b, 4*r = 3*b - 2*b - 720004. What is r rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s - 8. Let p(z) = z + 3. Suppose 0 = 32*g - 35 - 93. Let i be (-1 - -2)\/((-2)\/(-22)). Calculate g*v(x) + i*p(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2246 or 2091?\nAnswer: 2091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9440, -18877, -28314?\nAnswer: -37751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -202*s - 843 - 369 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-2)\/(-6)*((-15)\/(-80))\/((-2)\/136)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, v: 1, w: 1, o: 2}. Give prob of sequence ov.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 104332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-5)*(-120)\/36. Is -1*1 - (-7 - c) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -63*h**4 + 1614*h**3 - 981*h**2 + 150*h = 0?\nAnswer: 0, 2\/7, 1\/3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3875693?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164168654 to the power of 1\/4, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -93*y**2 - 25*y - 4. Let n(q) = -2*q**2. Calculate h(n(g)).\nAnswer: -372*g**4 + 50*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*a - 8, q - 4 = -5*a - 32 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3813792t?\nAnswer: 381379200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 13.7. Let g = 417 + -434.4. Let v = g - -19.4. What is the third smallest value in v, -1, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**5\/20 + u**4\/2 - 5*u**3\/3 - u**2\/2 + 5*u. Let z be r(6). Let y = -27 - z. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10704111 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a**3 - 4*a**2 + a + 3. Let z = 32 - 34. List the prime factors of y(z).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 + (-2 - -2))*34\/153. Which is the closest to 4? (a) 2\/5 (b) s (c) 4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 8. Let m be 4*(p\/(-8) - 1). Solve 0 = a + 5*z - 4, m*z + 1 - 5 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25200?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 17*m + 18. Let x be t(28). Suppose -10*h + 9*h = 4*k - x, 5*h - 2*k - 1718 = 0. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5585, 5587, 5599, 5627, 5677, 5755, 5867, 6019?\n\"Answer: i**3 - i**2 - 2*i + 5587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/36*(-3)\/4. Let f(j) be the first derivative of 0*j + 0*j**2 - 1 + 2\/5*j**5 + 1\/3*j**6 - 1\/2*j**4 - c*j**3. Suppose f(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/6641 (b) 2 (c) 363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 64\/189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2397056 and 35356576?\nAnswer: 141426304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from lii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/10008 and 73\/296.\nAnswer: 370296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1761 divide 3910140290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 246*f + 227 + 7574 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 32456043363371.\nAnswer: 32456043363370.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 214, 241, 284, 349?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -57. What is the remainder when 17 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 289236, 289237, 289238, 289239?\n\"Answer: c + 289235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 3. Let o(g) = g**3 - 11*g**2 + 10*g + 4. Let c be o(10). Suppose h + 3*m = 2*h + 10, -c*h - 6 = 5*m. Give p(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -133, -175, -217, -259, -301, -343?\n\"Answer: -42*x - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015783 rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.02243 - -0.02243. What is the nearest to -0.1 in y, 15\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/35*((-333621)\/(-4))\/9. Let m = y - -1059. Which is smaller: m or 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 414 - 944 = 0. Suppose x + f - 224 = 0. Let c be (-2)\/(-6) - 35\/(-3). Calculate the highest common divisor of x and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, v: 9}. What is prob of sequence jjj?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**5 + 65*s**4\/4 + 65*s**3\/3 - 45*s**2\/2 + 356*s. Factor k(p).\nAnswer: 5*(p + 1)*(p + 9)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -p + 148814 - 148777, 5*k + 5*p = -25 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54833685*t*x**3 - 5790*t*x**2 - 2*t*x + 6*t - 2*x**2 - 13*x - 1 wrt x?\nAnswer: 329002110*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -4) + 7 - 504\/(-39)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/((-4)\/(-48)). Let x(k) = -k**3 + 10*k**2 + 13*k - 14. Let l be x(11). Let r = l - n. Calculate the greatest common divisor of 18 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197304109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122 (base 6) to base 11.\nAnswer: 3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011101010000010011101 (base 2) in base 8?\nAnswer: 23520235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 21*d + 133. Let u(a) = 23*a + 86. Let g be u(-4). What is the remainder when 41 is divided by r(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 5*b - 2. Suppose -4*k = 5*p - 713, 3*k - 511 = -0*p + p. Calculate the smallest common multiple of -3 + k\/10 + (-1)\/5 and i(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -18*o + 259. Calculate p(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**4*m)*m\/(m*m**(5\/7)))\/(m\/(m*m**(2\/113))*m**(-5\/12)\/m) assuming m is positive.\nAnswer: m**(-21641\/9492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 11*j**2 + 7*j - 23. Determine h(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4086764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -16. Suppose 2*p = 88 + c. Suppose -4*z + p = z. Calculate the remainder when 37 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 3*h + 4303 = -19*r, h = -5*r + 10732. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 427862194 - -3190\nAnswer: 427865384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 105, 100, 91, 78, 61?\n\"Answer: -2*d**2 + d + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 17 - 6 + 8*o - 17 as f*o + d and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155771 + 16300.22.\nAnswer: -139470.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)\/d)\/d**28)\/(d\/d**(-24)*d*(d*d*d**(-16))\/d) assuming d is positive.\nAnswer: d**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 40?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7635489 (base 11) in base 9?\nAnswer: 27221514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.186 * -61.5\nAnswer: -11.439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -16, 0, 22, 50, 84, 124?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 1 - 0. Let v(s) = -s**2 + 1. Let m(d) = -5. Let i be 3\/((-6)\/2)*1. Let c(l) = 1. Let p(r) = i*m(r) - 4*c(r). Determine a*p(k) - v(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*-3*-2 - sqrt(170) - sqrt(170))\/(-1*(sqrt(10) + (sqrt(10)*-2 - sqrt(10))))*-6)**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -85329, 2\/3, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -2*f**7\/35 + 10*f**4\/3 + f**3\/3 - 3*f**2 - 32*f. Let v(x) be the second derivative of w(x). Differentiate v(o) wrt o.\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 154\/28)\/((-3)\/(9\/(-3)))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 4*b**2 - b + 3. Let t = -6 + 2. Let n be h(t). Suppose -2*m = -17 + n. Solve -m*z = 2*g - g - 11, -5*z + 13 = 3*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 + 15 - (-2)\/(-2)*4. Solve 4*n + 3*d = -4, -4*n - d = y - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1085 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278245 is divided by 278233?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j**2 - 53*j - 343. What is d(-6)?\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505 is divided by 229?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 3*d, 9 = 4*i - 3*d. Suppose -3 = -i*x - 0. Solve 3*z = -x + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 3) in base 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/(-5))\/(15\/(-25)))\/((-49)\/((-444528)\/63))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 5*r + 13. Let f be o(-7). Is 6 a factor of (1 - 0)*-23*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232\/28 + -1 - (-5)\/(5\/(-7))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72899 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let h(p) = 2*p**2 - 1. Let j(x) = 27*x**2 - 8*x - 25. Let u(f) = 26*h(f) - 2*j(f). Give u(z(d)).\nAnswer: -2*d**4 - 16*d**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 151 + 206 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v. Let r(a) be the second derivative of -a**4\/2 - a**3\/3 + a - 144. Give d(r(q)).\nAnswer: 18*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 131*a**6\/6 + a**2\/2 - 84*a - 217. What is the second derivative of y(b) wrt b?\nAnswer: 2620*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41960*y**2 + 13119*y**2 + 53602*y**2 - 22276*y**2.\nAnswer: 86405*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 6*g - 4. Let f be u(-5). Let r be (-7)\/(-3) + f\/(-3). Suppose 0 = r*v - 8. Solve -v*d - 16 = 4*s, s + 4 = -4*d - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3581, -3585, -3591, -3599, -3609, -3621, -3635?\nAnswer: -3651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/4 + i**2\/2 + i + 75. Let q(s) = 4*s**3 - s**2 + s + 2. Determine -2*p(h) + q(h).\nAnswer: 2*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5758427.2 from -43.21.\nAnswer: -5758470.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(140) + sqrt(140))*3)\/(sqrt(4) - -6*sqrt(36) - sqrt(4))*2)\/(((sqrt(250)*-2)\/sqrt(5))\/sqrt(10) - -6*sqrt(80)*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 251, 355, 459, 563, 667?\n\"Answer: 104*l + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 2\/80579?\nAnswer: 2\/80579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 13*t. Let r(q) be the second derivative of -7*q**4\/12 + 11*q + 5. What is y(r(v))?\nAnswer: -91*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(187) - sqrt(187))*-6 + sqrt(187))\/(sqrt(11) + sqrt(1100)*-4))**2.\nAnswer: 17\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y**2 + 2*y**2 + 9*y**2 + 20 + 3*y**2 + 9*y + 5. Give v(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2 - (-21)\/9). Suppose g = s + 2*s. What is the third derivative of -s*t**2 + 15*t**3 - 2*t**5 - 15*t**3 wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-598*l + 164 - 164 + (-3 - 1 + 2)*(3*l - 5*l + 3*l))*((0 - 4 + 1)*(1 + 2 - 4) + 6 - 5 - 2)*(0 - 2 + 1).\nAnswer: 1200*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1481*y - 1290*y + 5921 = 0 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 15*g - 12*g. Let h be ((-3)\/g)\/((-14)\/(-112)). Let w(s) = -s**2 - 7*s + 6. Calculate w(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4 - 7778*f**3 - 65*f**2 - 94*f.\nAnswer: 48*f - 46668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(128) - (0 + sqrt(128))))**2 - (-1*sqrt(128) + 0)**2.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19\/(19\/18) + 3 + 1. Suppose -39*n - k = -40*n. Calculate the remainder when 103 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*u, -2*s + 4*u + 95 = 27. Find the second derivative of h**4 - 11*h + 6*h**4 - s*h - 3*h**2 + h**4 wrt h.\nAnswer: 96*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a98 + 3a16a?\nAnswer: 41157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2 - 720*s - 32400 = 0. Calculate s.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 701*95102.\nAnswer: 66666502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 34*d = 3*i - 9520, 4*i = -3*d + 12692. What are the prime factors of i?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59347556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2136835 divided by 427367.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 28059 + 26520 = 0 for d.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqocoeke. What is prob of sequence kq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0687944 to 3 decimal places.\nAnswer: 3.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*b - 124*b + 8*b**3 + 67*b + 20*b.\nAnswer: 8*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -188. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from ksbwbbwkswxbwb?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -335081 (base 15) to base 11.\nAnswer: -1421512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -y - 0*t + 2571, y + 5*t = 2557. Suppose y = 2*i + 8307. Is (-2)\/(-10) + i\/(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12769*y + 12785*y + 19140 = 25873*y for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 45. Let w(t) = -3 - 6*t**3 + 6*t**2 - 3 - s*t + 7*t**3 - 2*t**3. Suppose 5*l - 24 = 1. Calculate w(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 7)\/666*74\/(6660\/(-135))?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18254 and 0.6?\nAnswer: 18254.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(4) - sqrt(16)))\/(sqrt(125)*-1)*6.\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0 - 21. Let d be ((-3)\/5)\/(j\/35). Solve d*v - 2 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0*c**2 + 1\/10*c**6 + 5\/12*c**4 + 0 + 0*c**3 - c + 0*c**5. What is the third derivative of x(o) wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 25 + 9 = 0. Let v = c - 11. Factor -11*k**2 + v*k + 2 - 6 + 10*k**2 - 5.\nAnswer: -(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + ((sqrt(363) + sqrt(363) + -1)**2*1 - sqrt(363)) + (1*sqrt(363) + -2)**2 + sqrt(363).\nAnswer: -88*sqrt(3) + 1816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -188\/3. What is the nearest to 3 in -3\/5, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*j - 4*j - 4 = 0, 5*l = -5*j. Let d be 1\/2*2\/(-1). Which is the second smallest value? (a) l (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -242928.4 to the nearest 1000.\nAnswer: -243000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 660500 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: Find the first derivative of -18*k + k + 31*k**2 + 5*k + 4*k - 14 + 6*k wrt k.\nAnswer: 62*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from gccggcgttccoggotg.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -85*h - 32. Let l(d) = -85*d - 25. Let q(y) = 4*k(y) - 5*l(y). Let f(c) = 9*c. What is f(q(o))?\nAnswer: 765*o - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 828 and 3852?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17607 + 17606.99974928. Round a to 6 decimal places.\nAnswer: -0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**4 - 29275*g**3 - 283991*g**2 wrt g?\nAnswer: -168*g - 175650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-460)\/368*(3 - 1)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 14*x**4 - x**3 + 2*x + 16*x**4 - 4*x**4 to r*x**3 + h*x**4 + a*x**2 + k*x + g and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -3 - 8\/6. Let c = 0.083 - 25.083. Let b = 30 + c. What is the closest to u in -1, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5253352 + 0?\nAnswer: -5253352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -19. Suppose -3 = y*v - 6. Put 5, 2, v in descending order.\nAnswer: 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4961\/7 + -709. Which is the second smallest value? (a) z (b) -9\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -784142, -1568198, -2352254, -3136310, -3920366, -4704422?\n\"Answer: -784056*f - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 17*h**2 + 1\/78*h**4 + 0*h + 0 + 1\/780*h**5 - 10\/3*h**3 - 1\/2340*h**6. Let t(r) be the first derivative of v(r). Factor t(b).\nAnswer: -2*(b - 2)*(b + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**35*b)\/b**(-23))\/(b\/b**(-7))**17 assuming b is positive.\nAnswer: b**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 8 = -2*q. Let l be 203*q*4\/(-16). Suppose 6*y - 305 = 3*y - 4*j, -2*y = 3*j - l. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*m + 4, -4*g + 11 + 9 = 4*m. Let w(s) = s**3 + 1 - 8*s + 11*s - s**2 - g*s**2. What is the units digit of w(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4857600 divided by 4048.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.218 and 162355284?\nAnswer: 162355283.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 0.12, -1\/4, -4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0495504 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114523131 - 24?\nAnswer: -114523155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282.0986 days to weeks.\nAnswer: 40.2998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - 5*f)*(9*f - 9*f + 8*f)*(-2 - 1 + 1)*(-3 - 2 - 16)*(2 - 1 + 2).\nAnswer: -5040*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/14*(-497)\/(-213)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3665 - -3996. What is the remainder when p is divided by 132?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 3*v = 8*v + 10*j + 306, 3*v = 10*j + 309 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 9:47 AM?\nAnswer: 594","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/7 (b) -3\/8 (c) -0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21482\/5 - 4296. Let h = 0.28 - -0.02. What is the biggest value in h, q, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9314477 to the power of 1\/2, to the nearest integer?\nAnswer: 3052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*104 + ((-36)\/9 - -2). Let n = g - 76. Calculate the greatest common factor of 52 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2066 is divided by 115.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 13 = 4*r. Suppose 1 = 2*u - r. Let p = -2 - -3. Solve 3*y = w + 6 + p, -4*y + 4*w = -u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 778.9012 micrometers?\nAnswer: 0.0000007789012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 348, 113, -340, -1083, -2188, -3727?\nAnswer: -5772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9609192 divided by 9\nAnswer: -1067688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = 4*m - 776, w + 391 = 5*m. Let r = w + 390. What is the smallest common multiple of r and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*c**3 - 1372*c**3 + 356*c**3.\nAnswer: -1204*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -0.13.\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13586, -46643, -79700, -112757?\nAnswer: -145814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(1\/33)*x\/x**(-5)*x**6 assuming x is positive.\nAnswer: x**(397\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzqzljpljzzppqzzbq. Give prob of picking 1 p, 1 l, and 1 b.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 15, -162*r + 166*r = -5*n - 91 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3243?\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 147*f**2 - 11*f - 8. Let j be y(-5). Suppose 7*t = 4041 + j. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -760597*s - 3042395. What is c(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69243 is divided by 541?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 1 - sqrt(19)) + (sqrt(19) - (sqrt(2299) - (sqrt(2299) - (sqrt(2299) + (sqrt(2299) - (sqrt(2299) + -2)**2))))).\nAnswer: -65*sqrt(19) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + (-3 - -5) - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/11 + 305089\/649?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4541765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5\/2, 42, 1\/6, -59.8 in decreasing order.\nAnswer: 42, 5, 5\/2, 1\/6, -59.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/3 + (1 - 4). Let o(d) = -d**3 - 2*d**2 + 2*d + 2. Let i(l) = -6*l**3 - 11*l**2 + 11*l + 11. Let p = 39 - 28. Give p*o(n) + v*i(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 4 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:39 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 24, 43, 66, 93, 124?\n\"Answer: 2*b**2 + 9*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.98 + -5. Let n = -4.98 + v. What is the second biggest value in -1\/3, n, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3614 and 834?\nAnswer: 10842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 8*f**2 + 6*f - 7. Let h be s(-7). Suppose 3*u - 43 + 13 = h. Suppose -u = 3*v - v - 2*p, 25 = v + 5*p. Solve v*x = -x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*p**2*z + h*p*z + 8*h*z - 5*p**3 - 4*z - 1 wrt p.\nAnswer: 4*h*p*z + h*z - 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 5*b + 16. Let z be g(-6). Solve o + o + z = -4*t, 2*o + 2*t = -16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3 - 2*l - 2*l + 35*l**3 - 32*l**3. Let i be x(1). Factor i*c + 2\/3*c**2 + 4\/3.\nAnswer: 2*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -639065.4 and 2.71.\nAnswer: -639062.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -22796?\nAnswer: 22799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 12 = 4*t, -t - t + 6 = -2*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(1*(sqrt(512) + sqrt(8)))*3 - (sqrt(117) + sqrt(117) + -5 + sqrt(117) - (sqrt(13) - (1 + 4 + sqrt(13))))**2.\nAnswer: -1053 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3206 - 392 - 1790)*(-u**3 + 2*u**2 - 2*u**2).\nAnswer: 5388*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 6:59 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 7*o - 4. Let r be d(2). Suppose -16*z - 2250 = -r*z. Round z to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -41*v + v**2 + 65*v - 46*v - 29. Let i be k(13). Let r(a) = a**3 - 4*a**2 - 4*a + 3. What is r(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 4*g - 2*g**2 - 2*g + (g + 9 - 9)*(-3159 - 315*g + 3159).\nAnswer: -317*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 49880*z - 15018*z.\nAnswer: -64898*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -7, 3\/4 in decreasing order.\nAnswer: 3\/4, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*p - 957*p**3 + 110*p.\nAnswer: -957*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 - 202819*n**2\/2 + 39745321*n\/4 - 243425385.\nAnswer: (n - 405540)*(n - 49)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/3707 and -119\/66.\nAnswer: 22242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*105\/49*28.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -47*i**8\/560 - 167*i**4\/12 - 211*i**3\/6 - 4*i - 4. Let x(c) be the second derivative of l(c). Differentiate x(o) wrt o.\nAnswer: -564*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 22, 0, 2, -8 in ascending order.\nAnswer: -8, 0, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1015899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15045, 63, -1 in ascending order.\nAnswer: -5, -1, 63, 15045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1985*o = -2024*o - 1482 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) 9.2 (c) 1\/4 (d) -2\/5 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/11 - 68*n**2\/11 - 760*n\/11 - 2800\/11 = 0.\nAnswer: -14, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 73. Let p be -93*u\/(-60) + (-2)\/(-8). Is 40 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -7. Suppose -j + 0 + 2 = i. Which is the third smallest value? (a) j (b) -1\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 389612020 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42214666?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 798*(-28)\/(-672)*4\/(-14)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 278760 - 4312138438\/15469. Is 0 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6017 - 6001. Suppose -w = -3*w + 122. Solve 9*j - w = -a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1105 + -21654033?\nAnswer: -21655141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4369894.\nAnswer: 2, 29, 59, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 585653 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j + 6. Suppose -45 = -3*y - a, 2*y - 4*a - j = y. Solve 6*d - 25 = d, -t + y = 2*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose b = -5*a + a + 68. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 1673 - 1679 = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 5*b. Is (b + 4)\/((-2)\/(-131)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s - 12 + 33 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4*c*c\/(c*c*c*c*c**(11\/4)))\/(c*c\/(c*c\/(c*c\/c**(1\/7))))**(-12) assuming c is positive.\nAnswer: c**(603\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 2, -1 in increasing order.\nAnswer: -49, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.866848 rounded to 1 dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 2*d**2 - 3*d. Let r be j(0). Let u(q) be the second derivative of 7\/80*q**5 + q + 1\/24*q**4 + 0 + 0*q**3 + r*q**2. Factor u(w).\nAnswer: w**2*(7*w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/81 + -142\/405. Let w(x) = x - 3. Let v be w(6). What is the closest to d in -1, 5, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 135861745 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1c930 (base 14) to base 9\nAnswer: -121307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 - 2 + 1 + g**2)*(-88 + 88 + 6*g) as v*g**2 + f*g**3 + k*g + t and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 = -5*u + 15, 4*i + 8 = 0. Find the third derivative of -3*v**6 + 5351*v**u + 16*v**2 - 5351*v**4 - 15*v**3 wrt v.\nAnswer: -360*v**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -620?\nAnswer: -37\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3998, -4067, -4182, -4343, -4550, -4803?\nAnswer: -5102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18169, -36339, -54509, -72679?\n\"Answer: -18170*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 56 = -8. Differentiate 41*f**3 + 17*f**3 - 77 - 110 + 25*f**w with respect to f.\nAnswer: 249*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**6 + 20*q**5 + 570*q**2 wrt q?\nAnswer: -120*q**3 + 1200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(-4)\/(-4)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + 1*6*(-5 + sqrt(704))*-1)**2 + 3.\nAnswer: -2496*sqrt(11) + 26023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2)\/((-4)\/5 + (-1350)\/(-2000)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + -17 + 2 + -45?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (13 + -26)) + 2 + -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 2*l**2 - 3*l + 1. Let w be -2*(-4)\/(-16)*-4. Suppose 2*n + 12*o - 11*o - 6 = 0, -10 = -w*n - 3*o. Determine p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 15*n**2 + 17*n - 5. Let c be j(14). Let a = c - 17. Solve -2*u - 3*u = -a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 457\/12 - 115\/3. Let q = 365\/63 - 39\/7. Let x be -4 - 1 - 0\/2. What is the closest to y in q, x, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-5880))\/(66\/(-792))?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 22 in ascending order.\nAnswer: -9, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at least -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/176 + 20\/220?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -63186567923101?\nAnswer: 63186567923101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2184*l + 2177*l = 62, l + 20 = -3*q - 2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-1*1\/(-5)). Suppose 0 = t + g + 4*g - 49, 5*t - 4*g - 100 = 0. What is the first derivative of -2*y**3 - s - y**3 + 3 - t*y**3 wrt y?\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -b + 79899, -r + 104185 = 2*b - 55613. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110111000101010 (base 2) in base 7?\nAnswer: 1034552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - -40. Let x = 48.9 - -7.6. Let o = x - a. What is o rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - x + 4*x)*(4*x - 3*x - 2*x) - 4*x**2 - 7*x**2 + 10*x**2 + 43 + 29*x**2 - 43 to u*x + z + j*x**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59\/6 - 10. Let y = -50\/3 + 17. Let c = -2.95224 - -3.25224. What is the nearest to y in z, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v - 4. Let j be o(4). Let s be 62\/4 + (-10)\/j. Let z be (-5 - -2)\/(s\/(-14900)). What is z rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/3 - 593*t**3\/3 - 1178*t**2 - 7052*t\/3 - 4696\/3.\nAnswer: -(t + 2)**3*(t + 587)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.92648mg?\nAnswer: 926480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvvssssvv. Give prob of picking 2 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4301144?\nAnswer: 2, 19, 28297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44156 - 2756 = 25*b. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.5 (b) -5 (c) 47 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 2*o**3 + 2*o + 0*o**3 + 0*o**3 + 5*o**3 - 4*o**3 - 5*o + 5*o + (2*o + o - 2*o)*(2*o**2 - 2*o + 2*o) to s*o**3 + y*o + d + j*o**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 214316079 a multiple of 1079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 + 162.87. Let r = -167 + u. Which is the third biggest value? (a) r (b) 10\/3 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 2025 = 6*y. Calculate the remainder when y is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501 a factor of 217068270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000226986576 rounded to 6 decimal places?\nAnswer: -0.000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.213555ml in litres?\nAnswer: 0.006213555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19550*i + 19559*i + 36 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(2\/9)*f**(3\/5)\/((f\/(f*f**(-6)*f*f))\/f*f) assuming f is positive.\nAnswer: f**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7771967 to the nearest integer?\nAnswer: 2788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -904\/3165 - -4\/211. Let s be (-116)\/255 + 10380\/17646. Which is the second biggest value? (a) -2 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7bb81 - 4?\nAnswer: 7bb79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 487873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) 1 (d) -0.1 (e) 10\/17 (f) -1436\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 12, -4, -24, -48, -76, -108?\n\"Answer: -2*m**2 - 6*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -1793*r**3\/3 - 992*r - 1197. Differentiate k(n) with respect to n.\nAnswer: -3586*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758 is divided by 564.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105411239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3\/9 - 11*c**2\/3 + 35*c - 75 = 0. What is c?\nAnswer: 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. Suppose -2*w + 5*c = 3*w - 20, -q*w + 5*c + 14 = 0. Let k(z) = z + 3. What is the units digit of k(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from nemeaeeneesessnansee.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 times 25\nAnswer: -112.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15a9b6 - 4?\nAnswer: -15a9ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1150.453 millilitres?\nAnswer: 1.150453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*b - 26, 0 = -12*o + 15*o + 2*b - 16. Let x(k) = -5*k**3 + 3*k**2 - 2*k + 1. What is x(o)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**3\/4 + 1245309*g**2\/8 + 18058287*g\/8 - 4670235\/4 = 0 for g.\nAnswer: -15, 1\/2, 207566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 23. Is 3 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.018 - -0.118. What is the second smallest value in 1\/4, b, -8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 83.2. Let t = q - -41. Are -16 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317971 is divided by 24455.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 5.08. Let n = -0.08 + z. Let t be 1435\/(-1050) - (-3)\/2. What is the third biggest value in n, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2612, 2613, 2614, 2615, 2616, 2617?\n\"Answer: u + 2611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 + -51. Suppose -16*k + u*k = 147. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y**2 + 5*y + 5. Let s(k) = 13*k**2 + 6*k + 6. Give -5*s(q) + 6*x(q).\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 + (-470)\/90. Let s(u) = -9*u - 2. Is s(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5 - 3 = -2*z, 5*z + 3*y = 31 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1010111001101?\nAnswer: -1010111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 12:45 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1064 = -9*v + 2945. What is the greatest common factor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113088 to the power of 1\/2, to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 23897.8091 to the nearest integer.\nAnswer: 23898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 95 = -5*k, -k - 4*c = -0*c - 19. Let t = -13 + k. What is the smallest common multiple of t and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 3*b - 3, 0 = 53401*s - 53396*s + 9*b + 42 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24051.\nAnswer: 3, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l**3. Let x(j) be the third derivative of j**6\/120 + 33*j**2. Let z be (9\/2)\/((-3)\/(-16)). What is z*x(p) + 3*m(p)?\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -141\nAnswer: 98.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 5*v**2 + 3*v - 2. Let r = -12 - -9. Let q be k(r). Suppose -11*t + 132 = -q*t. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1425) + sqrt(57))*1*-6)\/(sqrt(432)*-2 - sqrt(432) - sqrt(18)\/(1*sqrt(6))).\nAnswer: 96*sqrt(19)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, a: 3}. Give prob of sequence aj.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -160068 (base 10) to base 7\nAnswer: -1234446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 33, 62, 97?\n\"Answer: 3*i**2 + 14*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/4 - 41*h**3\/4 + 25*h**2\/4 + 13*h\/4.\nAnswer: h*(h - 13)*(h - 1)*(3*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d**3*s**4 + 6*d**3 - 406*d*s**4 - 3*d + 2 wrt s?\nAnswer: -16*d**3*s**3 - 1624*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106896342 to the power of 1\/2, to the nearest integer?\nAnswer: 10339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.39 - -0.4. Let w = 0.51 - o. Let v = 0.02 + -2.02. Which is the smallest value? (a) -0.5 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6198341, -12396633, -18594925?\n\"Answer: -6198292*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1129, 1129, 1127, 1123?\n\"Answer: -q**2 + 3*q + 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 6*p - 4. Let r(z) = -5*z**2 + 2*z - 2. Let j(f) = -6*f**2 + 3*f - 3. Calculate p*j(s) + 3*r(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 162, -2\/3, -38 in increasing order.\nAnswer: -38, -5, -2\/3, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2. Let x be (-4)\/16 + (-27)\/(-12). Let n(v) be the third derivative of 1\/24*v**4 + x*v**2 + 0*v**3 + 0 + 0*v. Determine g(n(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139236*x**4 + 395369 wrt x.\nAnswer: 556944*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 30 = -0*p. Let c(d) = d**2 - 7*d + 10. Let a be c(p). Solve -2*j + 4*j + 2 = a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-2)\/3)*9. Find the first derivative of -2*n**3 + n**d + 4*n**3 + 3 wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814323*w**5\/4 + 2905617*w**4\/4 - 1541151*w**3\/2 + 280608*w**2 - 32856*w = 0. Calculate w.\nAnswer: 0, 148\/521, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51783?\nAnswer: 3, 41, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/35 - (2 - 10124\/7040) and -99\/128.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:34 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 26 - 8. Calculate the highest common factor of 16 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 216, 457, 786, 1203, 1708?\nAnswer: 2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/446, -0.1 in decreasing order.\nAnswer: 1, -3\/446, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 18*x - 2. Let z be k(4). Suppose 5*h = -0*h + z. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*j - 49*j - 35*j + 222*j - 30*j - 57*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 - 3041*w - 369143. What is c(-141)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133*p**4 - p**3 - 186 wrt p.\nAnswer: 532*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 70, 116?\n\"Answer: 46*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1362 and 759.\nAnswer: 344586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) + 2\/20. Let h = 312\/5 + -62. What is the second smallest value in z, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 134 = 3*q - 1, -3*q - 3*z = -135. Suppose -3*a + 2 = -5*h, a + 3 = -4*h + 2*a. Does 9 divide q\/(-5)*2*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 10701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-18))\/((-4)\/114) and (-8)\/(-36) - (0 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 19 = 2*w. Let x = 5\/28 - -88\/7. Find the common denominator of w and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -428\/91 or -5?\nAnswer: -428\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/14)\/(462\/147).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 8*y**2 + 13*y - 17. Calculate h(-7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 27*d**2 + 16*d - 18. List the prime factors of k(-21).\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 880 divide 2420000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67673 is divided by 1405?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, -26, -117, -296, -593?\n\"Answer: -5*y**3 + y**2 - y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - (-6 - (-6 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 218\/2 + 3\/(-9)*-9. Suppose 2*q + 0 = -6, l = -4*q + w. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 = -8*y + 215. Does y = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/11*z - 4\/11*z**2 - 2\/11*z**3.\nAnswer: -2*z*(z + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239600, 479290, 718980, 958670?\nAnswer: 1198360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 23*p - 7. Let r(g) = -g + 1. Calculate -3*l(y) - 21*r(y).\nAnswer: -48*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 - 0.05. Let s = 14.5 + -14.56. Let m = s + u. Which is the third smallest value? (a) -5 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 8*g - 6. Let t be s(4). Suppose v + z = 906, -4*v - 3*z - 303 + 3929 = 0. Suppose 14*p - v = t*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 5 = -5*w - 3*y, 5*w + 5*y = -5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from ihehhheehiihe.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 11*w**2 + 26*w - 13. What is r(6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 23 = b, 2*b = d - 34 - 8. Let v = 23 + b. Calculate the remainder when 26 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*t = -6, 2*u - 7*t = -8*t - 4. Let v be 1 - u\/(-20) - (-69)\/115. Let o = -11 - -11. Are o and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 15. Let i(h) = 3*h - 30. Let s(j) = -5*d(j) + 3*i(j). Let b be s(-13). Is b bigger than -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.77 + -2.19. Let u = 0.23 + o. Round u to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280123 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-7))\/(n\/((n*n**44\/n)\/n))*n**20*(n\/(n\/((n*n*n**(2\/127)*n)\/n)))\/n assuming n is positive.\nAnswer: n**(9019\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 11. Suppose -v = -4*r - 12, -v + q*r - 1 = -7. Is 8 a factor of v*3\/6 + 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1637\/165 - -14\/55. Calculate the common denominator of u and -56\/1055.\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3351824, -5 in decreasing order.\nAnswer: 3351824, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5361 divided by -8576\nAnswer: -5361\/8576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90.9999997 - 91. What is f rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18900 = 26*x - 68*x. Is 90 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 410 and 574?\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 - u + 1. Let c be v(1). Let k(o) = -2*o**3 + 321*o + o**3 - 323*o - 4*o**2. Determine k(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1, 0.04, 0.49, 3828, 4\/7 in increasing order.\nAnswer: 0.04, 0.49, 4\/7, 1, 3\/2, 3828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = -171 + 107 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 257*t - 247*t - 3840. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c977a (base 15) in base 11?\nAnswer: -6877507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/40 - 1620\/(-200)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4 + (4 - 5 + 3)*(-5 + 0 + 2))*(-3*w**4 + 0 + 0).\nAnswer: 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 7}. What is prob of sequence rr?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -28*p + 130. Suppose v = -0*v. Suppose 11*g - p*g + 12 = 4*k, 5*g + 4*k - 24 = v. Solve -5*s = -4*h - h, -6 = -g*s - 2*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11 = a + 2, 33 = -4*a - q. Let v(l) = l**2 + 9*l + 8. Let r be v(a). Suppose r = -t + 16 - 6. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 118.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 2672802.\nAnswer: 50783238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4502920 by -450292.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 52*w + 1007. Calculate d(44).\nAnswer: 1359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -155\/1494263 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/5 + 74671*r**3\/5 - 74897*r**2\/5 - 16799823*r\/5 + 102823344\/5 = 0 for r.\nAnswer: -74672, -17, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 698939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 20.7. Which is the nearest to 2\/7? (a) o (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28189338 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 3*i - 125, -x = 18*i - 15*i + 119 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 333?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 599*k**2 + 45*k + 209. Is l(-6) a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/11 and 123\/15 + (-2)\/4.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 98\/3 of a year?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u + u + u**2 + 4. Let o(c) = c + 2. Let d be o(-5). Let n be p(d). Solve 0 = 5*f + 2*i - 16, 2*f + n = f + 5*i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 192.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 + -100. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463766.\nAnswer: 2, 461, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(96)*1 - sqrt(96) - sqrt(96))\/sqrt(6) + sqrt(16)))\/(2*sqrt(968)*6 + sqrt(968)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 - 138. Let v = 4.2 + -5.2. What is the fourth smallest value in v, 5, 8, a?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -34?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0. Let m(c) = -2*c**3 + 2*c**2 - 6. Let i(v) be the first derivative of v - 50. Give u*m(o) - 4*i(o).\nAnswer: 2*o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -h. Suppose -4*o + h = -8. Suppose -2*m - 3*m + 3*z = -9, -o*z = 5*m - 19. Solve 2*y - 4 = 3*i, 3*y + 0*y - m*i = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4 = -j, 3*j + 3*w - 8 = 4. Suppose -2*c - 6 + 2 = 0, j = -4*f - 3*c. Solve t + f + 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 10:09 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -3. Let a be (-1 - (1 + n))\/1. Let t be 1\/2 - (-1)\/2. Sort 2, a, t in descending order.\nAnswer: 2, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*((-27)\/(-3))\/3. Let a(u) = u**3 + 4*u**2 + 4*u + 3. Let h be a(b). Suppose 0 = 4*r - r + r. Solve h = -2*s - j + 6*j, r = -4*s - j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6687 is divided by 40.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 17*t**3 + 477*t**2 - 79*t - 3001. Give f(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(243))\/sqrt(9) + -1 - (-2*sqrt(216) - sqrt(216) - sqrt(216))\/(sqrt(242)*2).\nAnswer: -120*sqrt(3)\/11 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -55, 97, 247?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -54*u - 7566. Give d(-140).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -993 + 995. Let v = 119484 + -73839. Suppose i - v = h*r + 35354, 161995 = -4*r + 5*i. Round r to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*p**3 + 4*p**2 + 2*p - 5714.\nAnswer: -81*p**2 + 8*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let n(g) = 252275*g. Give t(n(m)).\nAnswer: -252275*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -32, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (-4 + 0 + sqrt(2299)) - (sqrt(2299) - (sqrt(2299)*-1 + -4))) + (-1*sqrt(2299) + 5 - (-2*(sqrt(2299) + sqrt(2299)*2) - sqrt(2299))))**2.\nAnswer: 440*sqrt(19) + 36809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 6*x**2 - 2*x + 14. Let c be y(6). Let s = c - 2. Suppose -3*q + 3*w + 3777 = s, -q - w + 6*w + 1275 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 13) to base 10.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 - 386*h. Let t(n) = 2*n. Determine j(t(d)).\nAnswer: 16*d**2 - 772*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/6 - 19*m**2\/2 - 261*m\/2 + 841\/6 = 0.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14, -16, -46, -76, -106?\n\"Answer: -30*s + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqqqenqdnqynnqdnqe. Give prob of sequence nyen.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37203\/692 - -215\/4. What is the biggest value in x, -3, -6\/11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2173\/488 - -102\/61. Find the common denominator of o and 67\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -79a8?\nAnswer: 799f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (283\/(-65) - 12\/(-78)). Let j = -1.03 + 0.03. Sort j, m, 1 in ascending order.\nAnswer: j, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*a - 16*a + 315. Solve -a*h + 5*h - 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -180, -360, -540?\n\"Answer: -180*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 4*p + 2 + 7*p)*(2 - 5 + 10).\nAnswer: 14*p + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3283*x**2 + 48306*x**3 + 3283*x**2.\nAnswer: 48306*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009616 to 7 dps.\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3, 0*f + 4*a - 20 = 4*f. Suppose 0 = -5*z - 1 + 11. What is the tens digit of (-106)\/f - z\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 463 and 70.\nAnswer: 32410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 2*x**2 - 3*x - 1. Let f(l) = -18*l + 2*l**3 + 3*l**3 - 6 + 2*l - 11*l**2. Suppose -17 - 103 = 30*g. Give g*f(a) + 22*o(a).\nAnswer: 2*a**3 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 47 + -6 + (1 - -2). Let h = m - 31. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1968212?\nAnswer: 2, 492053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tad when three letters picked without replacement from {t: 3, f: 4, a: 2, d: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2 + 5*a + 7. Let z be n(-5). Let f = z + 154. Calculate the remainder when 237 is divided by f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 * 0.5\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -344223 (base 5) in base 13?\nAnswer: -587a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16d (base 15) in base 14?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75168696*i**2 - 32914121?\nAnswer: 150337392*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*h - 3 + 0 + 3 as o*h + u and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -846107, -1692220, -2538333, -3384446?\n\"Answer: -846113*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -1610 + 1594. Suppose -2*c - 50 = -4*h, 9*h - 2*c = 4*h + 62. Solve h = -a*w + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 28466.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoo when three letters picked without replacement from oooouoouou?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from {x: 9, p: 7}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 4495 and 4491 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-3))\/(6\/(-9)). Differentiate 0*n**y - 2 - 7*n**4 + 2*n**4 - 2 with respect to n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3\/4 (c) -3.5 (d) -1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 43*n**2 + 441*n - 1010. Calculate k(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 368 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446084422?\nAnswer: 2, 7, 31863173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01067011 to four dps.\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/150 - -2\/25. Let q(d) be the second derivative of n*d**3 + 3*d + 0*d**2 + 1\/12*d**4 + 0. Find w such that q(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**7\/315 - 11*y**4\/2 - 158*y**2. Let o(v) be the second derivative of q(v). Let p(a) = 21*a. Calculate o(p(j)).\nAnswer: 3528*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*h + 2, 2*h = -5*x + x + 10. Suppose -3*j - 2*j + 2411 = -3*i, -x*j + 3*i + 968 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -23 - 32 - 25 + p**2 + 80. Let r(y) = -17 + 4 - 8 + 4*y**2 - 2*y**2. What is v(r(q))?\nAnswer: 4*q**4 - 84*q**2 + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2023, -16277, -54943, -130219, -254303, -439393, -697687?\nAnswer: -1041383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 44 - 8 = 0. Suppose 2*i - 3*h = 4985, 0*h + f*h - 7469 = -3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 3. Let f = 137 - 134. Calculate c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173\/408*6\/12*-16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**7\/525 + v**5\/75 - v**3\/15 + 8*v**2. Factor q(r).\nAnswer: -2*(r - 1)**2*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 - -170.5. Let s = -0.1532 + 0.0532. What is the nearest to s in 3\/7, 7\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -330130\/11 - -30012. What is the nearest to 19\/2 in -0.4, -0.11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 93.46659 decades?\nAnswer: 9.346659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 13 - 1. What is the remainder when i is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*h + 47 = 0, 349*n - 353*n + h = -34. Solve -n*u + 49 = -0*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775466?\nAnswer: 2, 19, 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Let y(d) = -d. Suppose 5 = -4*v - 3. Calculate v*y(f) + 4*b(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 7:20 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12120, -12483, -12844, -13203, -13560?\nAnswer: -13915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 2, -0.5, 0.1441 in decreasing order.\nAnswer: 49, 2, 0.1441, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 293e?\nAnswer: -2942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2693, 2709, 2725?\nAnswer: 2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-447)\/(-18) + 0)\/22 - 17090\/13672?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33724 divided by -5.\nAnswer: 33724\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*b - 5, -17 = 2*k - 27. Let x be b\/(-4 + -4 + 6). Which is greater: x or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfkkhyhyfjjkjyth. What is prob of picking 2 y and 1 j?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-6) - (-1)\/3*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11213321021 (base 4) to base 12\nAnswer: -5b10b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39362 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 730131170 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77484 divided by 6.\nAnswer: -12914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-2)*(-3)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 - (-3 - 12\/(-4)). What is the third smallest value in p, 7\/5, -0.1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 118178\/(-2)*(17 - 125). Suppose -5*v - 7268388 = x. What is v rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1983 divided by 1983.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2711.650052 - -2711.6. Let n = z - -0.05. What is n rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b + 3. Let i(l) = 2*l. Give n(i(h)).\nAnswer: 16*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g + 82 = 30*g - 4*s, 9*s + 72 = -5*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {g: 4, d: 15}?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/7)\/(39\/182). Solve g = -b*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 24. Suppose -s - 4*s + 60 = 0. Calculate the remainder when g(10) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 6*p**2 - 8*p + 9. Let i be v(7). Solve i*k - 10 = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 66*b + 59. Let o(q) = -132*q - 117. Let m(w) = -4*o(w) - 9*r(w). Differentiate m(d) wrt d.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -0.04012. Round w to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 2\/23, 2\/7, -1\/5, -5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5))**36 assuming a is positive.\nAnswer: a**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 12. Let k be s(3). Suppose 5*x - 82 - 38 = 0. Suppose 6*j + 2*j - x = 0. Are k and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62 - 704010?\nAnswer: -704072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155105 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0 + (-7 - -19) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2\/3, 0.1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 256554.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 + n**2 - 2*n + 1. Let u be 2\/9 - 21\/(-27). Let b be r(u). Let 2*k + 1 - 4*k**2 + 2*k**4 - 4*k**b + 2*k**5 + 1 + 0 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003955 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*l = 48, 0*l - l = -2*m - 40. Let u be 9\/6*10\/m. Let q = -7.5 - -7.2. Which is the biggest value? (a) 3\/2 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u + 16. Let w be (-169)\/(-9) + u\/27. Suppose 4*r - w - 5 = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -559.75 and 3.\nAnswer: -1679.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, -74, 0.3742?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142528 and 247852.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -48*j**3 - 5*j**2 + 5*j - 5. Let o(i) = 199*i + 2990. Let f be o(-15). Let b(c) = -72*c**3 - 8*c**2 + 8*c - 8. What is f*b(t) - 8*w(t)?\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1588, -1588, -1598, -1624, -1672, -1748, -1858?\nAnswer: -2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1815 divided by -605.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-4\/5))\/t**4)**3\/((t*t\/(t**(3\/8)\/t))\/t**(1\/2))**(-8\/7) assuming t is positive.\nAnswer: t**(-314\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903630?\nAnswer: 2, 3, 5, 7, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 912, 8697, 29834, 71001, 138876, 240137, 381462, 569529?\nAnswer: 811016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 980 and -0.0052.\nAnswer: -5.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.631485ns?\nAnswer: 0.000000000631485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5648 by 210.\nAnswer: -2824\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 42617 divided by -2243\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4*r - 276*d**3*r - 642*d**2*r - 1 wrt d.\nAnswer: -48*d*r - 1656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.2. Suppose 3*x + 5*x = -0*x. Suppose x = -4*k - u, 4*k + u = 3*k. Which is the biggest value? (a) k (b) -12 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300031 (base 7) in base 15?\nAnswer: 34c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154.533 - 1.467. Which is the smallest value? (a) y (b) 1\/4 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -24. Let n = o - -23. Suppose -z = 4*m - m + 9, m = -3*z + n. Solve 4*q = 5*k + 1, -z*k - 2 + 4 = -5*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -9*n**2 - 333. Let v(r) = r. Give 3*v(f) + w(f).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -499 + 63054*t**2 + 168 - 63053*t**2 - t**4 to r + j*t**4 + i*t**3 + o*t**2 + d*t and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -19416*x**2 - 47 - 14 - 53 + 114 as t*x + p*x**2 + i and give p.\nAnswer: -19416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 4*g**2 + 5*g**2)*(g + 0*g + 0*g)*(0 + 0 + 1).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*y + 7*y**2 + 64 - 64 wrt y?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1300)\/(-300) + 40\/(-6).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7715 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2 - 24*g**2 + 25*g**2 - 15 - 10*g + g. Suppose 4*c - 12 = -2*f + 2*c, -28 = -4*f - 3*c. Determine m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 0)\/(-11 + 5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 2, o: 5}. What is prob of sequence omo?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 9:01 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {r: 7, h: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (1 - (-5 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*o = 23, -2 - 16 = -2*d + 4*o. Let t be (d + 0)\/((-10)\/150). Calculate the greatest common divisor of 30 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5449\/16338 + -1\/5446. What is the closest to 7\/6 in -0.3, z, -0.7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90595 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4695.557 litres to millilitres.\nAnswer: 4695557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2056 and -0.01.\nAnswer: 20.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636696?\nAnswer: 2, 3, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0*o**3 - 5\/24*o**4 - 2*o**2 + 0*o + 0. Let c(i) be the first derivative of -i**3\/3 - 1. Give h(c(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in decades?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*w + 43 + 23, -y = -4*w + 132. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007646154 to 6 dps.\nAnswer: 0.000765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0 + 10*k + 13\/30*k**6 + 5\/2*k**3 + 0*k**2 + 0*k**5 + 0*k**4. Find the second derivative of d(l) wrt l.\nAnswer: 156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50221, -104594, -158967, -213340?\nAnswer: -267713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + -3 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2664, 2844, 3024, 3204?\nAnswer: 3384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121\/7 + 353\/35. What is the third biggest value in 5, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 1 - (-3 + (-12)\/(-3)). Let v be (b + 7 - 5)\/(-1*2). Which is greater: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7232 + -0.3?\nAnswer: -7232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 82 = -42. Let y be 0 + -3 + 1 + (0 - x). Solve y*l + 3*w = 12, 3*l - 4*w - 10 = 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32357\/6900 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1017647 and -0.2.\nAnswer: 203529.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-15) + 4\/10. Let y(v) = -v**2 - v. Let a(z) = 3*z**2 - 4*z. Let b(t) = i*a(t) - 2*y(t). Suppose 0 = -g - 4, -4*u + g - 4*g = -8. What is b(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by -4 - 3*(-522)\/27.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9442117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310814 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: Do -9 and 266860 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/59)\/d*d*d**0 assuming d is positive.\nAnswer: d**(-2\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 768 - 771. Which is the smallest value? (a) -0.2 (b) q (c) 0.055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 217609265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29591255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 19. Suppose g*p + 3 = p. Is 447*(-1 - (p + 1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 40 = 4*s, s - 6*s = -3*u + 20. Suppose -2*p + 15 = -2*d - u, 4*p - 65 = 3*d. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10698831 divided by 1683.\nAnswer: -6357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 0.1, -0.16, 0.\nAnswer: -0.16, 0, 0.1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46534 and 8.\nAnswer: -46526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k. Let a be y(1). Suppose 8*b = a*b + 2. Solve -2*m + 3*j - 33 = 8*j, -2*j - 2 = -b*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 564a64 - -1?\nAnswer: 564a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18051 by 6017.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/9*-6*1. Suppose 0 = -2*x + 6*x - t. Let f(a) = -3*a**x + 2*a**2 + 2*a - 3*a - 1 + 2. Give f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18254744 to the nearest integer?\nAnswer: 4273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uursuruuuu. What is prob of picking 3 u?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(200))*-6 - (sqrt(200) + -1*sqrt(200)*-1))**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76883805871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 - 82320*f**2 + 5087618991*f - 639733747338.\nAnswer: (f - 123417)**2*(f - 126)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-2*b**5 - b**2 + b**2) - 13*b**5 - 12*b**5 + 19*b**5 + (2*b + 2*b - 3*b)*(-2*b + 2*b + b**4).\nAnswer: -9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.79 - 5.79. Is -0.3 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 82 = -4*g - 56, -5*b = -4*g - 658. Calculate the highest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1261 - 1261.13. What is the closest to 2\/5 in b, -3\/8, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9368*r**2 - 30949*r**2 + 1833*r**2 - r + 33*r**2.\nAnswer: -38451*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10420 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42333 (base 8) in base 2?\nAnswer: 100010011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -2*h + 4*h. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4.6. Let d = -17 + 15.4. Let g = d - i. Which is the nearest to -1\/2? (a) g (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - b + 0)*(222*b**3 + 8*b**3 - 29*b**3) - b**3 - 2*b**4 + 2*b**4 - 12*b**4 as j*b + l*b**4 + s*b**2 + n*b**3 + z and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318505967 is divided by 454.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57587965 + -14.5486?\nAnswer: -15.12447965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9634564039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2. Let p(y) = -10*y**2 + 2*y - 2. What is 5*a(l) + p(l)?\nAnswer: -15*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -557192*g**3*k*v - 4*g*k + 463381*k*v wrt g?\nAnswer: -1671576*g**2*k*v - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -14*k**3 - 66*k**2 + 216*k - 56 = 0.\nAnswer: -7, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 761*i**2 + 6 - 6.\nAnswer: -761*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-14) + (-15)\/30?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let p(h) = 26*h**2 + 523*h. Calculate x(p(q)).\nAnswer: 26*q**2 + 523*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -1010011011010010000011?\nAnswer: -1010011011010010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*h - 6 = -0*h - 0*h, 0 = -2*h - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrmmxrgzxx. Give prob of sequence xgxx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3086*0.3\nAnswer: -925.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515796 is divided by 2788.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 = -108*x - 234*x + 69*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Suppose 0 = -i*b - 5*b + 100. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 270, 406, 544, 684, 826?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (33\/6)\/((-1)\/174994). Let y = u + 5762467. What is y rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54\/2808 - 26\/104\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 3\/2, 3\/7, 5\/6, 36\/5, 0.5.\nAnswer: 3\/7, 0.5, 3\/5, 5\/6, 3\/2, 36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**6 + 370*z**5 + 1323*z**2 wrt z?\nAnswer: -120*z**3 + 22200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-2 - (-5 - -4)) + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/15 - -5 - (-14)\/20.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 1971844392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 31. Let v = j + 21. Is v bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1850? (a) -1 (b) 1.1 (c) 0.233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 + -23 - (-29 - -7)) + 11.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(57\/24) - 15) + (18 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 9 = 5*z - 0, -3 = -2*z + s. Suppose -3*o = -y - 2, z*o = -y + 4 + 4. Factor 3\/8*m**o - 3\/2 - 9\/8*m.\nAnswer: 3*(m - 4)*(m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = -1632. Let h be ((-2500)\/(-3))\/((-2)\/q). Round h to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -815 (base 10) to base 13\nAnswer: -4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1532*z = 1354*z + 712. Solve -z*k = -217 + 217 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -53 (b) 1\/5 (c) -6 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7.8 times -5154874\nAnswer: 40208017.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 100*p - 2 = 101*p, 15 = -4*t - 5*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6965)\/(-378) + (-3515)\/190?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/114 and -67\/176092.\nAnswer: 528276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 922 + 348 + 445 = -343*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**3*t**3 - j**2*t**3 - 21*j**2*t + j*t**3 - 113*t**3 wrt j.\nAnswer: -24*j*t**3 - 2*t**3 - 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*h = 21, 5*v - 56 = 4*v - 5*h. Calculate the remainder when (-860)\/(-15) - 2\/(-3) is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4 - 521*t**4 - 144*t - 200*t**2 + 501*t**4 - 28 - 108*t**3 = 0. Calculate t.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-8) - (34 + (-8415)\/612)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/25 in 0.5, 5, -3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 6*k + 3. Let y be q(-6). Find the first derivative of -3 + f**4 - 3*f**4 + 3*f**2 - y*f**2 wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -45*j + 42*j - 3*c + 5*c, -17 = -13*j + 5*c + 37 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1228869*o**3 - 650479*o**2 + 1?\nAnswer: 7373214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -6)*(-1)\/9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/60 - j**5\/20 + j**3\/6 - 10*j**2. Let m be f(2). Solve 12 = -0*s - 3*s, -m*q - 5 = 5*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2526213.\nAnswer: 3, 842071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1796, -7209, -31656, -79267, -157764, -274869, -438304, -655791?\n\"Answer: -1287*r**3 + r**2 + r + 3081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 51 = 21. What is the remainder when 17 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 1 - 19. Let f(k) = -2*k**3 - k**2 - 3*k + 3. Suppose 4*u + 24 = 3*d, -4*d + 4*u + 48 = d. Calculate the remainder when f(q) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/24)\/((-720)\/(-192)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373 divided by -1?\nAnswer: 2373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 3653.\nAnswer: 25571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4834 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u**2 + 9\/4*u + 3\/2 - 3\/4*u**3 = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -252 - 167*n**2 + 45*n**2 - 177*n + 32*n**2 + 3*n**3 + 91*n**2 + 77*n**2 = 0.\nAnswer: -28, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*c + 7, 3*c + 5 = -1. Let t be (-3)\/(-12) - f\/(-28). Suppose -2*k - s = -20, -k + 30*s = 26*s - 19. Is k less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - ((-3505)\/(-4206) + 3845\/102)?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 122 - -3*10\/(-15). Suppose 0 = z - 1 - 14. Calculate the highest common divisor of x and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*v - 445 = 35*v - 69*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200316606 is divided by 13266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.83 times -0.06?\nAnswer: 0.1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 4*s, -4*n - 1595*s + 120 = -1600*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 2*q + 3*l, 252*q - 250*q + 42 = 2*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 76*m**2 - 42*m + 26. Let k be j(-5). Is 14\/42 - k\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -2\/21 (c) -7704\/19 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 3*p - 4. Let n(h) = -4*h**2 + 10*h - 12. Give 7*g(u) - 2*n(u).\nAnswer: u**2 + u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f. Let l(v) = 2*v**2 - 1288. Give l(w(r)).\nAnswer: 2*r**2 - 1288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-2))\/(21006\/1167).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*t + 12*t - 93 = 18*t. Put -4, -5, 3, t, -19 in descending order.\nAnswer: 3, t, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -903.7208 rounded to 0 decimal places?\nAnswer: -904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9912517 and -9.\nAnswer: 89212653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 12, a: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1198, -1207, -1220, -1237?\n\"Answer: -2*s**2 - 3*s - 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -44 - 5*g + 38 - g + 5*g. Let l(w) = -3*w - 18. Let z(k) = -107*k + 747. Let q be z(7). Calculate q*l(b) + 7*s(b).\nAnswer: -b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2448)*-2 + 1 + sqrt(2448) + -3 + -1 - ((sqrt(2448) + -1 + sqrt(2448))*3 + -5)*-3).\nAnswer: -26 + 204*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2 - 3*x - 6 + 3 + 4*x**2. Suppose 348*v - 361 - 305 = 126*v. Give g(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 6:56 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1)\/(3*(-1)\/(-54)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/46*6195\/(-1820) - 42\/91.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011022 (base 3) to base 16.\nAnswer: -8ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/4 + 3\/4. Let w = -0.23 + -3.17. Let m = -0.4 - w. Which is the smallest value? (a) y (b) m (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 158\/873 - -4\/97. Let r = -1.1 - -4.1. Sort 4\/5, r, y.\nAnswer: y, 4\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11990, -16070, -20150?\n\"Answer: -4080*q - 7910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-2)\/((-2)\/7). Let z(n) = -10*n**3 - n + 0 + 12 + 9*n**3 + 6*n**2. Let i be z(6). What is the highest common divisor of d and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1420 and 10082.\nAnswer: 100820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:57 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5532480 and 59760.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 5*r + 2*r)*(2 - 2*r**2 - 1 - 5).\nAnswer: 6*r**3 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhdbghy. Give prob of sequence vg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -3. Let v(l) = -7*l + 1. List the prime factors of v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3143150 and 2514520?\nAnswer: 12572600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*y - 13*y**2 + 130*y.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/(1\/3). Let h(j) = -j**2 - 4*j - 1. Let b be h(-3). Find the third derivative of 3*s**6 - 4*s**b - s**6 + 2*s**v - s**6 wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Let x = -2\/13 + -31\/52. Which is the closest to -1? (a) x (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b + 320 = 48 - 330 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v + 4*n - 35 = 0, n - 10 = -v. Let l = -33\/7 + v. Which is the third smallest value? (a) -0.2 (b) 4 (c) -0.4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 3. Let d be (4\/(-12))\/((-3)\/45). Suppose d*j = -12 + 2. Give y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i = -5602 + 5632 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 + 325 - 160)*(-3*w + 0*w + 0*w)*(0 + 3 + 0)*(1 - 1 + 2*w**3).\nAnswer: -5472*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 18*x. Let f(g) be the second derivative of 0*g**2 + 1\/6*g**4 + 2*g + 0 + 0*g**3. What is r(f(h))?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 3972*d + 36072.\nAnswer: -4*(d - 1002)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 1, -14, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:54 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4*u + 330*n**4 - 77*n**3 - 3*n*u + n + 74*u + 28 wrt n.\nAnswer: -12*n**2*u + 3960*n**2 - 462*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -2, 14 in decreasing order.\nAnswer: 14, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-112)*12 - 1045\/(-228).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 277116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 17 + 8 + 18*n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -97973 * 0.8\nAnswer: -78378.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/735 - ((-1664)\/280 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 15 = -6*u. Suppose 2 = -2*c, -u*c - c = 2*y - 18. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y - 2*y - 3*v, -4*y = 5*v - 6. Find the first derivative of 13*w**4 + 0*w**y - 2 + 2 + 3 wrt w.\nAnswer: 52*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 3*q - 206. Let u be q\/16 + 3\/(-4). What is the greatest common divisor of 133 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.71 + -20.721\nAnswer: -20.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (1 - (1 + -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 6. Let k be i(6). Is 84*((-1)\/(4\/(-16)))\/k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -5, 0, -256812 in increasing order.\nAnswer: -256812, -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 + 3 - 9 - 6*w**3 + 6 - 1 to the form x*w**3 + k + h*w + p*w**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5*v + 6. Let d(t) = -9*t - 52. Let i be d(-5). Let n(l) = l**2 + 3*l + 1. Let o be n(-5). Let f = o + i. Determine b(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4173\/365 + 12\/365. Are o and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/3 + 1220*x\/3 - 1216\/3.\nAnswer: -4*(x - 304)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 225\/47 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 181.7 in -2\/15, -0.5, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6174143 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2. Let v(s) = -s**2. Calculate l(d) + 2*v(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -36 and -37 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86690 and 216725?\nAnswer: 433450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 20*o**2 + 7*o + 2. Let q(c) = c**3 + 14*c**2 + 12*c - 8. Let a be q(-13). Let x be u(a). What is the units digit of 2 - 21\/15 - x\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -0.5, -3, 46, 14 in decreasing order.\nAnswer: 46, 14, 3\/7, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 720623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186*q**4 + 56*q**2 - 6*q wrt q?\nAnswer: -4464*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2570 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: Let m(r) be the first derivative of -78*r**5\/5 - 11*r**2 - 2*r - 51. Find the second derivative of m(u) wrt u.\nAnswer: -936*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216134 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 54551641 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/3 + 19226*w**3\/3 - 268814*w**2\/3 + 134362*w + 230376 = 0 for w.\nAnswer: -1, 3, 12, 9599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 11*r**2 + 17*r + 12. Let o be g(9). Let i(z) be the first derivative of -z**3 + 3*z**2\/2 - z - 212. Calculate i(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, d: 3}. What is prob of sequence dd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i*n**2*r - 3*i*n - 217*i*r + 4*i + 6*n**2 + 19 wrt r?\nAnswer: 3*i*n**2 - 217*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -396 divided by -198\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3791*p**2 + 34081*p\/3 - 38.\nAnswer: (p + 3)*(11373*p - 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -41*o. Let f(j) = 29*j**2 + 3*j + 10. What is l(f(t))?\nAnswer: -1189*t**2 - 123*t - 410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -36*q - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let n(x) = x - 1. Let o be n(s). What is the greatest common factor of o and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f - 58*f - 24*f - 31*f + 138*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dll when three letters picked without replacement from {d: 3, l: 3, t: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1603c0 + -2?\nAnswer: 1603bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*4*(-1)\/(1 + -5). Solve 2*z + 2*u - j*u = 28, -u = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*p**3 + 5)*(20*p + 2 - 2*p**2 + 16*p - 4*p).\nAnswer: -8*p**5 + 128*p**4 + 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.439663 kilometers in centimeters?\nAnswer: 43966.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - ((sqrt(100)\/sqrt(2) + sqrt(50))\/sqrt(10))**2)*6.\nAnswer: -120 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.7 + -15. Let f = 3.1 + -3. Let o = j + f. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17435 is divided by 221?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32212223 (base 4) in base 9?\nAnswer: 101045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*l = -80, 3*o - 3*l + 105 = -2*o. Let m be -1 - o - (4 - 2). Suppose m + 50 = 5*f. Calculate the remainder when 24 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r + 48. Let w(d) = d**2 + d + 1. Let i(a) = -a**3 + 20*a**2 + 5*a + 24. Let h(t) = i(t) - 4*w(t). What is the units digit of h(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56613442 to the nearest 100000.\nAnswer: 56600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = -48. Suppose g = 3*i + 4. Differentiate -c**4 + 1 + 5*c**i + 0 with respect to c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1\/6, -1\/18378, 0.4?\nAnswer: -1\/18378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -43. Let r(m) = m**2 + 7*m + 13. What is the remainder when 12 is divided by r(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -111*i**3 - i**2 - 5*i + 2. Let b be t(-2). Is 16 a factor of (4\/(-2))\/((-14)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-27) + 79\/(-9). Let i = m - -5. What are the prime factors of i\/(-10) - (-234)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1116 and 508989.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 54 = -10*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - 25*j + 31*j - 15*j - 17*j.\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cooccccooc. What is prob of picking 2 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -3087065.\nAnswer: 4\/3087065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 41. Let f be 0 + s\/(-10) - (-6)\/15. Solve -4*w + 4*g + 5 = -3, -f = -4*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1762240 is divided by 530.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (2 + -2 - 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108.43 - 112.13. Which is the closest to -0.1? (a) m (b) -1\/5 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*b - 15 = 2*p, 5*p - 24 = 3*b. Suppose 5*o = -p*j - 12, -3*j - 16 = 2*o + j. Let d(q) = q**2 + q + 23. List the prime factors of d(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2947 minus 4?\nAnswer: 2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*1 + (-375)\/(-225) + (-4)\/(-3). Solve -m = f, -3*m + 11 = 4*y + 2*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-1)\/8)\/((-77)\/1848).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 10*g + 89*g + 2550 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 685, 5, 0, -4, -3, 1957 in decreasing order.\nAnswer: 1957, 685, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.17 (b) -14 (c) 1\/35 (d) -1951\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 - -160. Let r be 13\/((-325)\/(-20)) + y\/10. What is the closest to r in 2\/15, -3, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a + 12*a - 32 = 0. Let q = -12 + 12. Let i be 6\/6 - (q\/a - 2). Are 12\/5 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4) - 151185316\/8. Let p = m - -10098163. Round p to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00119807611 rounded to 7 decimal places?\nAnswer: -0.0011981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10028*z + 10296*z = 4824 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**2 + 18*k + 25. Let h(b) = -2*b**2 - 8*b - 13. Determine -9*h(g) - 4*u(g).\nAnswer: 2*g**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*m**3 + 51*m**3 - m - 4*m + 5*m.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 367, 554?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 8*b**2 - 5*b - 8. Let q be w(7). Suppose 22 = -4*x - q. Let j be 0 - (10 - 0)\/(-2). Sort x, -2, j in ascending order.\nAnswer: x, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20977, 191, -1, 4 in decreasing order.\nAnswer: 20977, 191, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, z: 1, s: 1, t: 9}. Give prob of picking 1 z and 2 t.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101101110110100 - 11001?\nAnswer: 110101101110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/2)\/g*g**(-3\/11) assuming g is positive.\nAnswer: g**(5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38.7 - 37.1. What is the third biggest value in -3, -1, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155606 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence med when three letters picked without replacement from {c: 1, e: 1, m: 3, y: 5, a: 1, d: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/2028 and -105\/7366034?\nAnswer: 44196204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 55785273 and -0.1669?\nAnswer: 55785273.1669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5\/21 - 2*c**4\/7 - 34*c**3\/21 + 18*c**2\/7 + 176*c\/21 + 32\/7 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*j**3\/7 - 152*j**2 + 164*j\/7.\nAnswer: -j*(j + 82)*(13*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2\/11 + 104*y\/11 - 1352\/11 = 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-140)\/(-130)) + 3\/(-6). Let k be -2 - (-2 - (-1)\/(-3)). Which is the nearest to k? (a) -1\/6 (b) f (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t*v + 321*t*w**2 + 18*v*w**2 - 3*v*w with respect to t.\nAnswer: -3*v + 321*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.3311196 to one dp.\nAnswer: -29.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, i: 3, r: 2, w: 5}. Give prob of sequence rizi.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.04, 0.4, 2, -2\/97?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(99) + -2 + -3)**2.\nAnswer: -60*sqrt(11) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 89.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 12. Let p(z) be the first derivative of 5*z**2\/2 - 61*z - 795. Determine 11*f(m) + 2*p(m).\nAnswer: -m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 18. Solve -w = 4*w - m + 20, 2*m - u = 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 7*r**2 - 7*r + 10. Suppose 3*g + 2*g - 5 = 0. What is the lowest common multiple of (12\/10)\/(g\/5) and v(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**30)**(-9\/2))**(-48))**(-4\/3) assuming t is positive.\nAnswer: t**(-8640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2 + 2\/(-3). Let n = 5442 - 5442. Put 0.2, p, n in descending order.\nAnswer: p, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/9*(-18)\/(-15). Let i(g) = -g**2 - g - 1. Let q(n) = n**2 + 9*n - 3. Let k(c) = j*i(c) + q(c). Let l be k(7). Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12 - 21*c + 35*c + 12*c**2 - 4*c**3 + 5*c**3. Let w be b(-11). Let h be (-28)\/w*(-6)\/(-4). Solve -8 = -2*p + 3*v - 23, -h*p + 5*v = 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 8. Let x be w(6). Suppose -2*h + h = 15. Let i = x - h. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t*x**3 + 186825*t*x + 27126*x**3 wrt x.\nAnswer: 12*t*x + 162756*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1416169354 rounded to four decimal places?\nAnswer: 0.1416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 148*a**2 + 2516*a - 1. Let j be g(-17). Put j, 6, 5, -21 in decreasing order.\nAnswer: 6, 5, j, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 910861, 1\/5, -3 in descending order.\nAnswer: 910861, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by (0 - -2) + 2\/(-1) + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6640 from 0.076113.\nAnswer: 6640.076113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 706*z**2 + 44992*z - 799976.\nAnswer: 2*(z - 277)*(z - 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51230108 is divided by 409.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 33*a**4\/4 - a**2\/2 + 49*a - 57. Find the first derivative of m(t) wrt t.\nAnswer: 99*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 2*a**2 + 11*a + 20. Let i be r(-15). What is the remainder when 11\/(495\/i) - (-4)\/18 is divided by (-86)\/(-11) + (-6)\/(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 205 (b) -0.0487 (c) -3\/34 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 6*r + 6. Let t be g(-7). Suppose 4*o - 31 = 3*x, -t + 4 = x - o. Let b(c) = -8*c + 2*c - 5*c**2 - c**2 - 5 - c**3. What is b(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:34 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3613 (base 9) to base 14\nAnswer: -d9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 12*n - 13*n - 22 = 0, -18 = -2*m + 4*n. Solve 4*d + 2*j = -14, 4*d - m*j - 22 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 10*v - 6. Let b be w(-4). Solve 3*d = 3 - b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.7 * -16.\nAnswer: -107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1854 + -1667. What are the prime factors of k?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 - 87 = -17*p. Suppose -3*i = -3 - 0. Sort p, -29, i.\nAnswer: -29, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -147d1 (base 14) in base 6?\nAnswer: -1031511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39450569 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74714376 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -9 (c) 6191 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 0*r + 3*r + 19*r - 15*r - 14*r + (-3*r + 3*r + r)*(3 - 3 - 2) to the form b + h*r and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (196\/(-112))\/((-1)\/12). What is the third derivative of 6*s**4 - a*s**2 + s**6 - 27*s**4 - 2*s**6 + s**2 wrt s?\nAnswer: -120*s**3 - 504*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opop when four letters picked without replacement from oopppphoopoh?\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.58 + -0.98. Let s = n + -11.7. What is the biggest value in s, -15, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0.1, 30?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - n + 4*n = 10, -35 = 3*v - 4*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.89 + -1.59. Let c be (-4)\/(-3)*2\/12. Let w(l) = l**2 + 2*l + 3. Let r be w(-2). What is the third smallest value in c, r, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 16089882.\nAnswer: 17\/16089882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 79*277 - (-21 + 24). Suppose 0 = 43*c - 42*c - d. Round c to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -47*k**3 - 5*k**2 + 2*k - 4. Let u(j) = 140*j**3 + 17*j**2 - 7*j + 13. Calculate -13*b(h) - 4*u(h).\nAnswer: 51*h**3 - 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 271370 divided by 7\nAnswer: 271370\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 537 (base 11) in base 2?\nAnswer: 1010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9 + 2 + 9 - 138*b**2 - 19 wrt b?\nAnswer: -276*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2057 + 1386 = 11*w. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -39444, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 569 divide 39911492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -9, 0, 3, -2, -101, 1 in decreasing order.\nAnswer: 6, 3, 1, 0, -2, -9, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -34 (c) 5\/4 (d) -5 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/61*((-1196)\/46 + 27))\/2?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 1. Let o(a) = 51*a + 17. Let m(c) = 17*k(c) + o(c). Let u(w) = 2*w**2. Calculate m(u(l)).\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6579 is divided by 91.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313026 (base 8) to base 6.\nAnswer: -2121142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -14*o + 8*o - 12 + 8 + 8*o**3 + 5*o**2. Let j = 19 - 13. Let q(d) = 23*d**3 + 14*d**2 - 17*d - 11. Give j*q(h) - 17*k(h).\nAnswer: 2*h**3 - h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -55. Let q = 15 + g. Let z = q - -17.000017. What is z rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let t = -36 + 36. Let f = 0.4 - 0.9. What is the nearest to t in -0.3, f, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 1\/70*b**7 + 0*b**6 + 0 + 0*b**3 + 0*b**4 - 3\/100*b**5 + 0*b**2 + 6*b. Factor s(g).\nAnswer: 3*g**3*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 2*k**2 - 5*k + 4. Let t be f(3). Let h be (15\/30)\/(t\/20). Let a(v) = v**2 + 4*v - 5. Let y be a(h). Solve -j + 0*j - 3 = y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -0.5, -16\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -1 + -2 - -1 - -10. Let k be -3*(2 + (-93)\/c) - 2. Let b = -3 + k. Solve 7*d = 2*d - b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/54 and 13\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (48 - 46) + 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*o + 5*g, -o = 3*o - g - 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1541*w - 1543*w + 4*f - 22, 12*f = w - 19 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1572587 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(5\/6*2438\/265)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0994, -5, 0.031, -2\/315, 0.\nAnswer: -5, -2\/315, 0, 0.031, 0.0994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387186, 774391, 1161594, 1548795, 1935994, 2323191, 2710386?\nAnswer: 3097579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 210 - 632\/3. Suppose -3*w = 2*w. Let n be 4\/(-3)*(-3 + w). What is the nearest to n in -1, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 20 + 61*z**2 - 4*z + 41 - 197*z**2.\nAnswer: -z**3 - 136*z**2 - 4*z + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**5\/30 + n**4\/6 + n**3\/3 - 3*n**2\/2 - 2. Let u(b) be the second derivative of z(b). Factor u(m).\nAnswer: 2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 2, v: 1, z: 1, j: 1, d: 2}. What is prob of sequence dmj?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 2.85 (b) -1.38 (c) 9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-2\/19)*b)*b**30*b)\/(b**(-4\/9)\/b**(-1\/30)))**(2\/65) assuming b is positive.\nAnswer: b**(53893\/55575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(-2\/19)\/(c\/(c\/c**(1\/2)))**(-38))\/((c*c**(-1\/3)*c*c*c)\/c**(-5)*(c\/(c**0*c))**(2\/69)) assuming c is positive.\nAnswer: c**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17262 and 65294474?\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(30)\/(sqrt(3)*1))*5.\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 1 - 1)*(5 - 3 - 1)*(6 - 3 - 1)*(-6 - 5 + 15)*(-2 + 1 + 3).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 402 and 8376.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 230.615 + 0.385. Let b = 230.5 - c. What is the closest to 1 in b, -6, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {s: 3, g: 6, v: 3, q: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(300)*-1) - (3 + -2*sqrt(80))**2.\nAnswer: -329 + 239*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300827 is divided by 698.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, 0.2, -4, -3, 694?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*2 - sqrt(216)) + sqrt(6))\/(sqrt(3) - 1*sqrt(48)).\nAnswer: -7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 227416 and 18104.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529423541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 2*y**3\/3 + 2*y. Let u(m) = -m + 4*m - 5*m. What is u(f(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*k + 52 = -738*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + o**2 - o - 3. Determine c(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.67279 months in centuries?\nAnswer: 0.212227325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y + 65*y + 66*y + 68*y - 230*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(1\/(-2) + 1). Let v be (0 - 4\/2) + c. Let u be 176\/6 - v\/15. What is the highest common factor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and 97.281.\nAnswer: -5447.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50239?\nAnswer: 7, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934369406 to the power of 1\/3, to the nearest integer?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228.5 + 58.5. Let a = 287.0000094 - l. What is a rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29263 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194104 divided by 194104.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = g + 31, 0 = -2*g + 4*q - 3 - 3. Let w = -7 - g. Suppose 20 + 52 = w*f. What is the smallest common multiple of f and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -9622, 9\/2 in descending order.\nAnswer: 9\/2, 0, -5, -9622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 + 9*c + 29. Let l be r(-4). Put 1, l, -5 in ascending order.\nAnswer: l, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5 + 9. Suppose h = 2*u + 2. Suppose 45 = 21*m - u*m. Solve 2*k = -3*g - 11, g + 4 = -4*k - m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110331 + -13?\nAnswer: 110312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -56, 14, 3, 5, 35 in descending order.\nAnswer: 35, 14, 5, 4, 3, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4436836 is divided by 177472?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/75*(-30)\/(-9))\/(28\/(-1295)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149399, -298771, -448143, -597515, -746887, -896259?\nAnswer: -1045631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-25))\/(2*1\/(-70)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -5*k**3\/3 - 15*k**2\/2 - 10*k + 11. Determine x, given that f(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12b49e7 - 0?\nAnswer: 12b49e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3269\/60 - -332\/5. Calculate the common denominator of -139\/6 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 7*c**2 - 6*c - 6. Let a(f) = -8*f**2 - 7*f - 7. What is 6*a(y) - 7*l(y)?\nAnswer: 7*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -987 - -945. What is the remainder when (2\/(-5))\/((-2)\/90) is divided by ((-198)\/w + -5)\/(4\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36583 divided by -1.\nAnswer: 36583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1294520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -0.1, 0.1.\nAnswer: -2\/13, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8056.216 kilometers in millimeters?\nAnswer: 8056216000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100804?\nAnswer: 2, 11, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 16*n - 18. Let z be y(15). Let i(h) = -25*h - 4. List the prime factors of i(z).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 112319 and 5.\nAnswer: 112324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7524 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -41?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -187 - -339. Suppose -6*n - 134 = -i. Solve 4 - 1 = n*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -50*g + 88 + 100 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 4*b**3 - 2*b**2 + 4*b**2 - 6*b**2.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p - 13*p + 2 - 1 + 4 as c*p + v and give c.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139 - -230. Let v = 49 - c. Let m = v + 42.0067. Round m to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (354 - 382)*(-1)\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/909, 21, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67.1 - 73. Let p = -9.9 - w. Let c = p - -9. What is the closest to -0.1 in -1, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*c**2 + 562733*c + 15317731 wrt c?\nAnswer: 54*c + 562733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4678221 is divided by 1559399.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141930 and 570.\nAnswer: 141930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165.937 + -166. What is the second biggest value in -0.5, -5, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**7\/1155 + 179*j**6\/660 + 8099*j**5\/330 + 7921*j**4\/132 - 11*j**2 + 5*j - 2. Factor q(w).\nAnswer: 2*w*(w + 1)*(w + 89)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 2:09 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (-3 + 1)\/(-1). Suppose 9*j + 2 = 10*j. Suppose -j*x - m*x - 55 = -3*v, 2*x + 40 = 3*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -b - 6, -2*c + 261 = 5*b + 278 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*g + 7*g. Let b be 32\/(-144) - 436\/(-18). Calculate the highest common divisor of b and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6689, 6690, 6695, 6704, 6717, 6734, 6755?\n\"Answer: 2*q**2 - 5*q + 6692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/20 - c**4\/2 - c**3\/6 - 5*c**2\/2 - 2*c. Let p = -21 - -15. Let d be f(p). Which is greater: d or 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j - 7508 = -36992. What is the greatest common factor of j and 1701?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g - 370 = 0. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1016 and 11029188.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3240549.9 + 0.1.\nAnswer: -3240549.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54473 divided by -3511?\nAnswer: -54473\/3511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*b**3 + 1940180 + 1940209 - 3880389.\nAnswer: 236*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.141 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104658 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31723\/28 + -7936\/7. Let v be ((-5)\/((-70)\/24))\/2. Which is the biggest value? (a) o (b) 5 (c) v (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/201 and 143\/150.\nAnswer: 10050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 6 = 13*g - 16*g, 4*g + 2*m + 10 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 17*l**3 + 2*l + 2. What is c(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7280*g**2 - 29061*g**2 + 7289*g**2 + 7277*g**2 + 7253*g**2.\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7116 is divided by 2365.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(63\/57 + (-2)\/2). Let a = s - 30. Find the third derivative of -6*b - a*b**3 - b + 7*b - b**2 wrt b.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1, 9, 3\/2, -8, -155?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:01 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**2 - 96445*j + 48221*j + 32 + 9*j**2 - 12*j**2 + 48224*j.\nAnswer: -36*j**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**3\/3 - 1028*h**2\/3 + 87608*h\/3 - 2477440\/3 = 0.\nAnswer: 79, 80, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 466 - -669. Let g = -702 + h. List the prime factors of g.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 445 + -428. Solve 37 = -v*t + 105 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3 = -k - 4, -k + 3 = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gghhghh. Give prob of sequence ghhg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrh. What is prob of sequence rh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 - 2. Suppose 2*r = n, 7 = n - 3*n - 3*r. Let y be c(n). Does y = 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657860676 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 9, 17, 27?\n\"Answer: a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 542855 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-98))\/(2 - 9\/6) + (-15010)\/3990.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 13. Suppose 5*x = i - 5*i + 38, -2*i + 5*x + 4 = 0. Determine u(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.4 - -6. Suppose 5*g + 11 + 14 = 0. Let r = -755.24 + 759.24. What is the second smallest value in r, g, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 419*i + 422*i + 18 = 0, 0 = 10*p - 5*i - 50 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-18)\/2)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28492558.\nAnswer: 2, 29, 491251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 15. Let p = 77 - 62. Let g be 8\/(-156)*p\/10. Which is the third smallest value? (a) 2 (b) -3\/2 (c) g (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**2 - t - 1. Let i be (-10)\/3 + (-6)\/9 + 2. Give c(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + 1 + (3 - -8) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 146 + 12. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2054*i**2. Let p(g) = 23*g - 49*g - 1409 + 1409 + 18*g. Calculate p(y(j)).\nAnswer: -16432*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from {f: 5, c: 2, x: 8}.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 147 - 76*i - 175*i + 27*i - 94*i. Is a(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*p - 234*p - 30*p - 50*p as n*p + r and give n.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -862903, -862904, -862905, -862906, -862907?\nAnswer: -862908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.767 to 1 decimal place.\nAnswer: -41.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 3*g + 2. Let y(s) = -s**2 + 3*s - 2. Let d(i) = -3*n(i) - 4*y(i). Factor d(o).\nAnswer: (o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Suppose -3*d - 4*r + 18 = -z*d, 5*r = 20. Suppose 4*b + 5*p - 50 = -12, p - d = 0. Solve -5*o = 2 - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 374 + 400 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32010, 31999, 31988?\nAnswer: 31977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17*z - 466. Let p be s(28). What is the highest common divisor of 90 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249241928 by 13.\nAnswer: 19172456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 31 + (0 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21387 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 14 = -5*o, 2*a - 10 = 5*o - 3*a. Let f = -0.3 - -0.2. Let s = f - -0.2. What is the closest to 1 in 3\/7, o, s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1083, -1090, -1101, -1116, -1135, -1158?\nAnswer: -1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -86. Suppose 6*y + w - 10 = 0. Which is smaller: -74\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 27*o + 10. Let r(d) = d - 1. Let y(u) = -m(u) + 6*r(u). Differentiate y(v) wrt v.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/1072*(-122)\/26 - ((-1224)\/234 + 5)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1813310.6 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6637867 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4.99, 2, -0.1, -1.3 in descending order.\nAnswer: 4.99, 2, -0.1, -1.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 1. Suppose -3*f - 5*b + 23 = 0, f + 3*f + b = 8. Let p(k) = f - 6 - 3*k + 4. Let u(l) = l + 1. Let i be u(-3). What is i*g(c) - 3*p(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*g + 3276 = 788*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 448745 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:03 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 7 + 3 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 1, i: 5, u: 8}. Give prob of sequence gi.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1502 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t - 17. Let o be l(5). Suppose 2*p + o*p = 495. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.432 - -1.49. Round c to two dps.\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + (sqrt(11) - (sqrt(77)\/sqrt(63) - sqrt(11))) - 3*sqrt(99)).\nAnswer: -95*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3397)\/(-2795) + 216\/(-351).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10516.3783 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 3 + -25 + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/33063 and -67\/309?\nAnswer: 33063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177.1 + 177.11. Which is the second biggest value? (a) k (b) -17 (c) 3 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352 divided by 16\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 2*g - 20. Give v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 + 6*p - 3. Let o be h(3). Suppose -3*u - o = 24. Let m = 9 - u. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9 + 7 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/11, 0.078 in increasing order.\nAnswer: -4, 0.078, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*l + 77*l = 120. Calculate the greatest common factor of 60 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 7. Let v(a) = a. Let r(x) = b(x) - 3*v(x). Suppose -g - 4*k - 20 = 0, g - 20 = -3*g + 4*k. Determine r(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100) - sqrt(100)*-1)\/sqrt(4))\/(sqrt(5)*-1*-1))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (0\/(-3) - 7). Let g(s) = s**2 + 7*s + 2. Let y be g(j). Find the third derivative of -r**3 - 4*r**2 + 0 + 0 - r**y wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + 26. Let v = -30 + p. Let t(i) = 1 + i**2 + 5*i - 1. Let c(f) = f**2 + 6*f. What is v*c(q) - 6*t(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 6:19 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o + 2. Suppose -g - 3*f - f = -14, 6 = -o*g + 4*f. Suppose 3*m - 30 = -2*p - g, m - 15 = -p. Calculate the greatest common factor of 85 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**2 - 12*q - 71?\nAnswer: -6*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = k + 2*s - 20, -3*s + 15 = 5*k. Suppose 3*q - 3 = k, -76 = -3*f - 2*q - 2*q. Calculate the remainder when f - ((-6)\/(-3))\/(-1) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1356 - -1357. Sort 2, 12, -2, h.\nAnswer: -2, h, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -277*p + 273*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a - 167*a + 74*a.\nAnswer: -54*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 19*a + 10. Let b be ((-14)\/(-28))\/((-1 + -1)\/(-92)). Is u(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 54282 = 0. Let r = 542933\/20 - y. What is the common denominator of 21\/24*(-10)\/(-7) and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.02 + -0.02. Suppose 2*b - 12 = 36. Let s = -27 + b. What is the nearest to 1\/4 in s, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-42))\/(1\/(-130)) - 3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1415000 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56023 and 12342.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 4) + (-5 - -21) + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**3 + 57*d - 2. Let x(o) = o**3 + o. Give -u(l) + 5*x(l).\nAnswer: -3*l**3 - 52*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114171 and 10887.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 105680?\nAnswer: 105680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2880*a**3 - 2872*a**3 - 2871*a**3 - 2869*a**3 + 11503*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 11*p**3 - 3*p**2 + 203*p + 196.\nAnswer: -(p - 4)*(p + 1)*(p + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (298\/(-149))\/((-2)\/8 - 0). Sort -13, t, 3 in increasing order.\nAnswer: -13, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 842?\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50.464 - -46.464. Let l be 8\/(-20) - 88\/(-170). Which is the smallest value? (a) -1\/3 (b) 0.3 (c) l (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 512 + -386.6. Let w = v + 2.6. What is the second smallest value in w, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0909 - -347.4909. Round q to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3085 = -5*u - 0*w + 5*w, -w = 5*u - 3091. Let x be u\/11 - 26\/143. Let h = x + -30. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -6109?\nAnswer: 6113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/11424 and 121\/204.\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2)*6\/15*655 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984330 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2) + 9*7\/(-21). What is the tens digit of (j*9)\/(27\/(-630))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98*a**2 + 5141*a - 4658056 wrt a?\nAnswer: -196*a + 5141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - g - 803 = 0, 2*g - 312 = 3*i + 282. Round i to zero dps.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9699.63 to the nearest 100.\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 13*m**3 - 4*m**2 + 2. Let v(z) = -z**3 + z**2. What is -k(g) - 6*v(g)?\nAnswer: -7*g**3 - 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*x = -0*x - 632 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (5 + 0 + 17 - -8).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8137056 divided by -2\nAnswer: -4068528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9 + 3.1. Let j = 21 - 16. Suppose 5*c - j = -15. What is the nearest to -0.1 in c, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5373654 and 964502.\nAnswer: 37615578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2491881 is divided by 1861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 51*a - 905. Calculate q(35).\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + a + 5 - 1)*(-4*a**2 - 5*a**2 + 0*a**2) - a**3 - a**3 + 3*a - 5*a.\nAnswer: -11*a**3 - 9*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - -0.23. Let l = 3.94 + -4. Let q = p - l. Which is the nearest to -1\/4? (a) -0.3 (b) q (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + (-57 - -14 - -49 - (0 - -19)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -25, -47, -89, -157, -257?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 3151.\nAnswer: -22\/3151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15758 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 - -3.14. Sort 2, -1, f in descending order.\nAnswer: f, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992.780712us in weeks?\nAnswer: 0.0000000016415025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46310 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*k + 14 - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -302.89997174 - -302.9. Round w to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, n: 1, y: 1}. What is prob of sequence nyh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-45)*(-20)\/(-1). Let z(r) = r**2 - 6*r + 2. Let q be z(a). What is the greatest common factor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/448 - (-2)\/14)\/((-80)\/704).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*l = -4*h - 70, 4*h + 4*l - 228 + 292 = 0 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + 34744\/(-10192) + 8\/52 and -3\/22.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9 - -34.2. Let h = k - 24. Let l = h - 6. What is the smallest value in l, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8 + (330\/8)\/11. Solve d*x + 0*x = 3*f + 6, 4*f = -5*x + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 32*a**2 + 253*a + 45. What is j(16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ssssfsfsssssfsssss?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**2 + 561580*o - 16843800 = 0.\nAnswer: 30, 140365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {e: 2, v: 1, f: 1, j: 1, g: 2, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2447 + -105?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 3, z: 1, e: 3, v: 1, y: 5}. What is prob of picking 1 d, 1 y, and 1 v?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.512 + 0.048. Let o = -1.76 + l. Let i = o + 4.2. Which is the nearest to 1\/4? (a) i (b) 1\/2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 7*j - 7. Let g be a(4). Let x = 46 + g. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1338880.9 to the nearest ten thousand.\nAnswer: 1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-24))\/(-9 - (-305)\/30).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 406 - 207. Let u = o - 194. Solve -2*w = -3*g - 0*w + 7, 5*w - 45 = -u*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000101 - -111002121?\nAnswer: 110002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.466 (b) -0.1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 12*t**2 + 15*t - 9. Let h be 5\/(-12 + 1694\/140 - (-2)\/5). Calculate y(h).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42051094 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/30*398\/199?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117826 = -41*g - 157*g + 1655858. List the prime factors of g.\nAnswer: 2, 3, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/8, -15, 4, 2\/7, 16, -1\/10 in increasing order.\nAnswer: -15, -15\/8, -1\/10, 2\/7, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-6)\/27 - 2674\/(-126) and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let d = r + 3. Suppose 4*t - d*t = 0. Solve t*y - 2*y + 2*c + 6 = 0, 0 = 5*y - c - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(1584) + -1)*6.\nAnswer: 2 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = 2*v - 3*f, -5*v = 2*f - 1009 + 176. Calculate the smallest common multiple of v and 5.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33159 - -39106. Is 313 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5. Let r(c) = 4*c**2 + 4*c + 6 - 5*c**2 + 0*c**2. Calculate the remainder when 2 is divided by r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 45*y - 43*y as k*y + z and give k.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -18*q + 12. Let n be p(6). Let a = 98 + n. Factor 3*x**2 - 58*x**a - 4 + 26*x + 49*x - 16.\nAnswer: -5*(x - 1)*(11*x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000249005 to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230*i = -34980 + 6690 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 245 - 188. Suppose -2502 = -c*s + 51*s. What are the prime factors of s?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27897.5038443 - 27758.50385. Let w = -136.14 + -2.86. Let t = k + w. What is t rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162d382 (base 14) to base 9\nAnswer: 22406358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*v - v = 24, 4 = 2*t + 2*v. Suppose 2*g = -2*z + 24, -g = t*z - 4*g - 69. Solve -4*m - m = 3*i + 10, 5*m + 4*i = -z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9670764 divided by 2417691.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3419153 to the nearest integer?\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 0)\/(-2)*-1. Calculate the common denominator of 41\/4 and (-11)\/(-5)*p*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 812 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2005*u = 1988*u + 73695. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 + 178\/7*r - 2\/7*r**2 = 0.\nAnswer: -2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -j + 2*u, -13*u = 3*j - 12*u - 113. Calculate the common denominator of j and -7\/1095.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -4)\/4*(-4)\/(-28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(-3)\/(-9))\/1. Suppose -5*v + 5*y + 20 = 0, 4*v + y - 10 - 6 = u. Solve v*g - 7 = -15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41 and 41\/194101.\nAnswer: 194101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:25 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -r - 21. Suppose a + 4*y = 6*y + 33, -r*a - 3*y = -135. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1390056 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1530*b = 1550*b - 640. Calculate the greatest common divisor of 1424 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*a + 3960 = -279*a. Let h = a - -268. What is the greatest common factor of h and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 11. Suppose a + 3*a + y = -2*t, 2*a = -2*t - 16. Let k(q) = q**3 + 8*q**2 + 7*q + 2. What are the prime factors of k(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4218 + 4183. Suppose -3*m = 160 - 64. Let n = m - u. Solve -n*z + 3*y = z + 28, 5*z + 24 = y for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(6\/(-18)) + 0 - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 317, 411, 507?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 18 = -58 - 79 - 25 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*c**3 - 22943 - 193*c**3 + 22943.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*q + 6. Suppose 3*x = -q, 2*c - 33 = 3*x + 122. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:03 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-33)*-27*5\/(-30)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4 + 172*s**3 - 4008*s**2 + 26452*s + 30634 = 0. What is s?\nAnswer: -1, 17, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 81187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 43*i**3 - 3*i**4 + 6*i**4 + 46*i**3 + 2 to the form y*i**4 + x + h*i**2 + f*i + k*i**3 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 9:14 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 10*b - 13. Determine c(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 + 12*v**3 - 190*v**2 + 456*v - 280 = 0 for v.\nAnswer: -14, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + -55. What is the remainder when 18 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -48. Let c(b) be the third derivative of -b**4\/24 - b**3\/3 - b**2. Determine c(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6886*z + 6886*z - 48*z**3 + (3*z**2 + 0*z**2 - z**2)*(-z + z - z).\nAnswer: -50*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.52 - -30. Let k = -0.19 - m. What is k rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -7418.\nAnswer: -9\/3709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 692867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.8341 and 2615.\nAnswer: 2609.1659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d. Let b(p) = 35*p**2. Let k(o) = 6*o**2. Let t be 3*(100\/(-90) + 4\/(-18)). Let r(u) = t*b(u) + 25*k(u). Determine q(r(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2053\/9 + 230. Let m = -6728\/9 + 744. Let x = m + l. What is the second biggest value in 5, -1, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77685.\nAnswer: 3, 5, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b*b\/(b*b\/b**(3\/25))*b)\/b))\/(b\/(b\/((b*b\/b**(-5))\/b)*b)))\/(b\/(b*b**(5\/4)))**(3\/14) assuming b is positive.\nAnswer: b**(-6793\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 149, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/15 (b) 0.0772 (c) -1\/2005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/3*(-756)\/(-90).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*k - 123, -4*k - 153 + 267 = 2*q - 0*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.47 - 0.578. Let h = p + 0.16. What is h rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -11*f**3 - 12*f**2 + 26*f - 13. Let a(c) = 4*c**3 + 4*c**2 - 9*c + 4. Let r(g) = -8*a(g) - 3*d(g). What is the tens digit of r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**2 - 119*n + 927. Give l(8).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4695 by -15.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -8.5. Let z = 1.3 + -0.3. Let v = 31.8 + -31.7. Which is the nearest to z? (a) j (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5238790 is divided by 179.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000244884257 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2819*u**3 + 3*u + 4. Calculate the remainder when s(-1) is divided by 562.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbhh when four letters picked without replacement from hhhhhhhhhhhhbbhhbbhh?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + z - 16 = 0, 0 = -4*h - z + 5 + 8. Suppose i = -4, -h*i - 73 = -4*j + 47. What is the least common multiple of j and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(-54)\/81*4\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2*k + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/12 + (-19)\/1. Let n be (-4)\/22 - (26\/j + 1). Solve 5*b = 2*f + 30 + 3, -b + 5*f + 25 = n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k + 7223 = -35*k - 161*k for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1002 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 139114488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*y**2 - 8*y**2 - 11*y**2 + 27*y**2 - 64*y**2.\nAnswer: -133*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216053 = 15*y + 2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3*s - 480*o**3 + 33*o**2*s + 3951471*o*s wrt o?\nAnswer: 12*o*s - 2880*o + 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2.8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:00 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/7143, 3\/5, 27, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**2 - j**2 - 2*j**2. Let x(r) = -10*r. Let d(o) = 3*o. Suppose 0 = 2*s + 6 - 16. Let f(i) = s*x(i) + 16*d(i). Calculate z(f(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 j when three letters picked without replacement from {c: 2, k: 5, q: 6, j: 2, h: 1, t: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 - s + 1. Let i be z(1). Let c be i\/(-9) - (-2)\/(-12). Let d = -4 + 2. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 66*b - 65. Calculate l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d + 3*d**2 - 5*d - d**2 - 6*d**2. Let l be 1\/(1\/2*2). Determine i(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 4)*(-4*q + 0*q + 2*q)*((-3 + 1 + 0)*(-q + 5*q - 2*q) + 2*q - 2*q - q).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261\/7 + -37. Let o = -0.1 + 0.1. Let h = -1456 - -1451. Sort o, h, u in ascending order.\nAnswer: h, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3*u - 20, -368*u + 4 = -364*u + 3*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 13. Let u be g(-3). Let p be u\/(-3)*(-3 - (-6 - 111)). Is p < 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78895 and 38523665?\nAnswer: 2545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/((sqrt(5) + (sqrt(20)\/sqrt(4) - sqrt(5)))*-3) - (sqrt(2) + -1 + 4 + -4)**2) + 2*((-2*sqrt(504))\/(sqrt(7) - 1*sqrt(567)))**2.\nAnswer: 5*sqrt(2)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 2, q: 4, c: 7, y: 2}. What is prob of sequence qnc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 183896654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1059? (a) -5\/18 (b) 0.4 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198696 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b = 75, -3*d = -8*d - 2*b - 6361 + 6311 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 21*p**4\/8 - p**3\/6 + 12694*p**2. Let n(i) = 22*i**2. Give n(c(x)).\nAnswer: 87318*x**2 - 2772*x + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/3*(-8)\/6. Suppose t = 2*y - 12. Let p be 6\/24*(-4)\/(-1). Calculate the greatest common factor of p and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4 + 4)*(m - 2 + 2)*(1 - 1 - 1)*(-1 + 0 + 0).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333122 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3380 = -16*p + 29*p. Let f = 290 - p. What is the highest common factor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*-5*(-23)\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5) - 3 - -3. Let o be 2\/6*(-9)\/6. What is the second biggest value in o, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**8\/168 + 23*l**6\/30 - 23*l**5\/20 + l**2. What is the third derivative of y(p) wrt p?\nAnswer: 120*p**2 + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.4, -16, 2\/73, -2, 4?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let p be m + (-4*1)\/(-2). Suppose 0 = -p*u + 5*u - 15. Solve -u*c = -0*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y - 4*u + 437 = 0, -3*y + 5*u + 392 = 0. What are the prime factors of y?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1972511*o**3*w**3 - o**3 - 4*o**2*w**3 - 217098*o**2 + o*w + 24*w wrt w?\nAnswer: -11835066*o**3*w - 24*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002305 rounded to 6 decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 637?\nAnswer: 637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, 4, 0.2, 575, 9\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3901660.\nAnswer: 2, 5, 7, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*i**3 + 0)*(-4*i + 2*i + i) + 2*i**4 + 3*i**4 - 3*i**4 + 0*i**4 - 4*i**4 + 6*i**4)*(-549*i + 6156 - 6156) + 3*i**4 - 3*i**4 - i**5.\nAnswer: -3295*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*s + 2*p + 35, 18 = 4*s - 3*p. Let c(q) be the second derivative of 20*q + 1\/3*q**s + 0 + 3\/2*q**2. Let z(u) = -2*u. Give c(z(w)).\nAnswer: -4*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -124 - -129 - (-1 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/4 of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -401. Let b = -313 + y. Let s(v) = -24*v + 3. Determine s(b).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -186 (base 16) to base 7.\nAnswer: -1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 11. Let k = m + -8.999937. What is k rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/18 - (-66)\/396. Solve n = -p + 4, -10*p = 5*f - 5*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = -51*y + 6*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h**3 - 17*h**2 - 102*h - 144. Let b(q) be the second derivative of q**5\/20 + q**3\/3 + q + 19. Let x(i) = -21*b(i) - 3*k(i). Factor x(f).\nAnswer: 3*(f + 4)**2*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 331*q + 12845. What is h(71)?\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**2 + 4*l + 4. Let w be k(5). Suppose -37*n + 33*n = -w. Suppose 4*a - n = 216. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + 8.7. What is the third biggest value in -0.2, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 2 - 1 - 1 + 2*g - 2. Let b(c) = 3*c - 3. Determine 2*b(t) - 3*n(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 508966 = 3*x, -s - 2*x + 146476 = 44675. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35840.910965 - 35841. Let o = j - -0.0955581. Let b = -0.0065 + o. What is b rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 - 5*l + 5*l**2 + 218*l**3 + 4*l - 219*l**3 - 320 + 0*l**4 + 317 as n*l + t*l**2 + p*l**4 + s + w*l**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Let s(d) = 2*d**3 - 2*d**2 - d - 2. Let p be s(2). Suppose 0 = 2*a - 2*l - 24, z = -0*l - p*l. Calculate the lowest common multiple of 6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2568, -5170, -7842, -10620, -13540, -16638?\n\"Answer: -6*u**3 + u**2 - 2563*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -0*a + 2*g, 0 = -4*g - 8. Solve -a*o - 7 = -3*f, 4 = -3*o - 2*o + 3*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g + 0*g**4 + g + 0*g + 8*g**4 wrt g?\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 2, -287, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -19. Suppose w*j + 284 = 7*j. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43638512 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, x: 1, j: 2, o: 1, r: 12, i: 1}. What is prob of picking 1 j, 1 r, and 1 o?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mccycmc. What is prob of picking 2 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 + -29 - (3 + 0)) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 2 + 0 + (35 + 5 - 17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 + 6*m - 6. Suppose -9*b + 834 = -1056. Let w = -216 + b. Let q(c) = -c**2 + c - 1. Give w*q(v) + j(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100912*n**2 + 2*n + 2444.\nAnswer: -201824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let n be 3\/(-1) - -3 - t. Solve -4*i + s - 22 = -n, 0 = s - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*d - 20 + 4, -5*a + 3*d = -5. Are a and -28\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/5, -0.4, 0, -8003\/6 in increasing order.\nAnswer: -8003\/6, -4, -3\/5, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-152))\/(9*29\/(-1566)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120) - -5*sqrt(120)*-1))\/(sqrt(162) + (sqrt(162) - (-1*sqrt(162) + sqrt(162))) + sqrt(162)))\/(4*sqrt(300)*-5*1).\nAnswer: -sqrt(5)\/540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxsxssssxxx. What is prob of sequence xxxs?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8986795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4915 (base 11) to base 16.\nAnswer: 191d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/(-5))\/(-3) - (-102)\/170. Solve -x*u = 2*p - 3, -3*u + 3*p = -p + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 49. Which is the closest to o? (a) 1\/6 (b) 3 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -257972 by -2.\nAnswer: 128986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5051235 divided by 2555.\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4 + 2\/15*a**6 + 0 + 57*a - 6*a**3 + 0*a**2 + a**5. Factor k(d).\nAnswer: 4*d*(d - 1)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 163, 0, 6.6.\nAnswer: 0, 0.05, 6.6, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) -0.5 (b) 0.38 (c) 10 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -122a (base 12) to base 16\nAnswer: -802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oboaorbrro. Give prob of picking 1 b and 1 r.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 93. Let p = -39 + q. Let x(y) = -y. Let u(b) = -4*b - 5. Let z(f) = p*x(f) - u(f). Let s(m) = -1. Give -6*s(d) - z(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**2 + 2*u**2 + 2*u**2 + (-2*u + 1 - 1)*(2*u + 1 - 1) - 5*u + u**2 + 5*u + 0*u**2 + 3*u**2 - u**2 + 1054 + 0*u**2 + 8*u**2 - 1057.\nAnswer: 5*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/((-4)\/(-3 + -1)). Suppose 4*r + 4*l = 24, 0*r + r - l = d. Differentiate 1 - 6*b + r*b - 8*b**2 with respect to b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-11)\/110*5\/(-2)). Suppose 113 = 3*o - x. List the prime factors of o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1343, 2165, 2523, 2417?\n\"Answer: -232*c**2 + 1518*c + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - 3*h**4 + 0*h**4)*(-h - 1 + 1) + (3*h**5 + 0*h**2 + 0*h**2)*(2 - 6 - 2).\nAnswer: -17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1384648 and 83?\nAnswer: 114925784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 33 = q, 0*i + 19 = i + 3*q. Suppose 2*g - 2*j - 2*j - i = 0, -2*j - 6 = 0. Let d(t) = -t + 14. Let x be d(8). Solve g + x = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001001 + -100?\nAnswer: 1101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u + 8 - 5*u + 3*u. Let o be z(-4). Is o at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 27. Let g = 19.6 + n. Sort -2\/3, 5, g.\nAnswer: -2\/3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*o = -26, 0 = -0*q + 4*q - 3*o + 4. Suppose 16*b + 2*b = 0. Suppose b = -3*g + 4*j + 51, -j = -q*g + 10 + 19. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*b**2 - 73*b**2 - 29*b**3 - 14*b**3 + 40*b**2 - b**3 - 1 as d*b**2 + j + q*b**3 + g*b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38348963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20311578.\nAnswer: 2, 3, 7, 23029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrnr when four letters picked without replacement from {n: 3, r: 7, h: 2, a: 8}?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55225\/3473 or -17?\nAnswer: -55225\/3473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1282*j**2 - 4132*j**2 + 1563*j**2 + 1285*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**2 - 50*g - 19. Let j be a(-25). Suppose 61*x = 40*x + j. List the prime factors of x.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 1122660.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1373309, -2746611, -4119909, -5493203, -6866493?\nAnswer: -8239779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 564 and 5604?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 0. Let f = w + 1.98. Let q = 2.865 - 0.865. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 5 = -6*b + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/135 and 13\/7485405?\nAnswer: 67368645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -6*(sqrt(2299) + -1) - (sqrt(2299) + 0)*-2)**2.\nAnswer: -396*sqrt(19) + 20727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 89912.\nAnswer: 179824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = 0. Suppose -2*l + l + 10 = c. Find v, given that -5*v**5 - 4*v - 3*v**4 + l*v**2 - 7*v**4 + 18*v**3 - 9*v**5 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1536 divided by -1536\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*i = 1726789 - 1722145 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 11*g**2 + 10*g - 3. Let f be l(10). Let p = f + 6. Suppose 4 = -w, 0*k - 3*w + 13 = 5*k. Solve -i = 4*d - k, -5*d - p*i + 5*i + 16 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10594610839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -59?\nAnswer: 7\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 10) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 3*d - 2*d)*(d**3 - 2*d**3 - d**3) + (-d**3 - d**3 - d**3)*(-3 + 3 - 2*d).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5199*s + 2210 = -44581 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/126*(-36)\/68?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.23492599 to 1 dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -60. Determine z, given that 10 + 16*z - 33*z + 10*z**5 - 9*z**5 + 16*z**3 - 8*z**t - 2*z**2 = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*n + 5, 0 = -p + 3*n - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/4))**14*g**(-11)\/g*g**(-6) assuming g is positive.\nAnswer: g**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-48) - (-2)\/3) + (-105)\/280?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 1406 + 2*v**2 - 2*v.\nAnswer: 2*v**2 + 1406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:37 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7137 bigger than -7136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5 + 258*l**4\/5 - 3221*l**3\/5 + 1704*l**2\/5 + 31684*l\/5 + 26496\/5 = 0.\nAnswer: -2, -1, 23\/5, 18, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7776.209 kilometers?\nAnswer: 7776209000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -61, 14, -51, 0 in increasing order.\nAnswer: -61, -51, -2, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 (base 10) in base 11?\nAnswer: 56a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.4 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 2*j - 254. Let s be w(0). Let o = s + 921. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40782228.\nAnswer: 2, 3, 53, 64123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2. Let p(j) be the first derivative of -8*j**3\/3 + 3. Determine p(o(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051.278s in nanoseconds?\nAnswer: 2051278000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278*-12.13.\nAnswer: -3372.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4160)\/200*(-10)\/4. Suppose -2*o + 4 = 4*c, o - l = -c - 49. Solve -k - 5*b - 17 = 0, -1 = k + 2*b + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4 - 20108*m**3 + 40246*m**2 + 221208*m - 241344 = 0.\nAnswer: -10056, -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/7 + (-15)\/(-140). Which is the second biggest value? (a) 1 (b) -0.5 (c) y (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2747*u - 2761*u + 42 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - -0.23. Let o = 538.16 - 534. Let u = o - z. What is the second biggest value in u, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6085\/8 - -761. What is the closest to 1 in 0, p, -2\/9, 15\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28996, 28999, 29002, 29005, 29008, 29011?\n\"Answer: 3*l + 28993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3728, 3948, 4532, 5660, 7512, 10268?\nAnswer: 14108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, t: 5, k: 5}. Give prob of picking 1 k and 1 t.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + q + 21 = 0, -3*q - q = 5*w. Let d be w*33\/12*10. Calculate the highest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 2*k. Let c = -8 - -11. Let m(i) = 2*i. Let f be m(c). Let u(a) = -a**2 - 2*a. Give f*u(z) - 5*b(z).\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1440 + -32410021?\nAnswer: -32403031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -874, -2\/91, -2\/31, -4, 0.4?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*g - 378 = -107*g. Suppose -6 = d - 4*d. What is the third biggest value in d, g, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 2. Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -53\/3, 3\/7 in decreasing order.\nAnswer: 3\/7, -1\/3, -53\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(54\/36).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u - 9. Let k(y) = 13*y - 13. Let a = -9 - -14. What is a*k(m) - 7*c(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363 take away -468.424?\nAnswer: 2831.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1 + 176\/220.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5 + sqrt(288) + -4*sqrt(288) - ((sqrt(288) + 2 + 4 - sqrt(288)) + sqrt(288) + sqrt(288))))**2.\nAnswer: 1080*sqrt(2) + 7281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -82 = -1593\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3422 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00755 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 3*y**2 + 10*y - 14*y + 3*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/11 + 96*t**2\/11 + 1536*t\/11 + 8192\/11 = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, 39, 178, 369, 612, 907?\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b. Let z(l) be the first derivative of 7*l**6\/360 + l**3\/3 + l**2 - 40. Let c(v) be the third derivative of z(v). What is c(u(p))?\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -70*l - 9. Let c be m(-7). Suppose 0 = -153*r + 78*r + 62*r + 481. What is the greatest common divisor of r and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179578668977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 17*c**6\/360 - c**5\/60 + c**4\/24 - 7*c**3\/2 - c + 47. Let k(x) be the second derivative of y(x). Give k(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1848 and 65406264.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 + -3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -992, -1981, -2968, -3953, -4936, -5917, -6896?\n\"Answer: r**2 - 992*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 239257.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/2 - 215*u**3\/4 + 14209*u**2\/4 - 13516*u + 13277 = 0. Calculate u.\nAnswer: -71, 2, 187\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2926*c**2 - 19*c + 33. Let t be l(21). Round t to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:07 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482 = o + 5*i, -658*i = 4*o - 654*i + 1992. Is o > -501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35, 77, 119?\n\"Answer: 42*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.013 in -1\/2, -6, -3, 43?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*r**2 + 4*r**2 + 937*r**3 - 932*r**3.\nAnswer: 5*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/90450 and 43\/211050.\nAnswer: 633150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45533 times -2431?\nAnswer: -110690723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -155 - 3145. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/2 in -13, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2241, 2257, 2263, 2253, 2221?\nAnswer: 2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**2 + 3*n + 1. What is r(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 167073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 6:54 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + -43. Let b = z + 125. Let r = 4.0542 + b. What is r rounded to three decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7834178?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 855151626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8963487 is divided by 697.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6495 - -6756. What is the smallest common multiple of c and 87?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -65, -121, -225, -377, -577?\n\"Answer: -24*d**2 + 16*d - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1123\/9 - 1\/18*-4. What is the greatest common divisor of n and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 156*t**3 + 139*t**3 - 266*t**3 - 9. Let h(d) = -7*d**3 + 2. Calculate -9*h(v) - 2*x(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 0.2. Let g = -179 + 185. Let t = g + f. Is t bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15314914?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 817, 732, 585, 370, 81?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/l*l\/(l\/l**4*l)*(l\/(l*l\/l**7)*l)\/(l**(-2\/11)*l))\/((l\/l**2)**(-31))**(4\/13) assuming l is positive.\nAnswer: l**(521\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -2 (b) -39 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**8\/42 - 2*o**7\/35 - o**6\/6 + 13*o**5\/15 - 3*o**4\/2 + 4*o**3\/3 - 21*o**2 + 1. Factor b(i).\nAnswer: 4*(i - 1)**3*(i + 2)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, 1310, 1939, 2568, 3197, 3826?\nAnswer: 4455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by 718?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893430 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/18*(-4)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxtxtxxqtttx. Give prob of picking 2 t and 1 x.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -27. Suppose 5 = 5*k, 4*n + 4*k - s*k = -1. Sort n, -3, -26 in decreasing order.\nAnswer: n, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2704540 + 8?\nAnswer: 2704548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 9*t + 16. Is t less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 89*b - 32*b - 36*b - 20. What is the remainder when f(5) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -145?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8027 = -3*a + 3*l - 2210, 4*a - 3*l - 7755 = 0. Suppose -f - 5*f = -a. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14048, 3, 0, 5, -5, 4.\nAnswer: -14048, -5, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30b30 (base 15) to base 8.\nAnswer: -455433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -3 + 1 - -1) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/6 - 18*m**3 - 2915*m**2\/6 + 18*m + 486.\nAnswer: -(m - 1)*(m + 1)*(m + 54)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 23*c**2 - 67*c - 2. Let y be v(-22). Suppose b + y = 2*l, 7 = -4*b + 23. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k**2 - 1. Let z(q) be the third derivative of q**6\/30 + q**5\/60 + q**3\/6 + 3*q**2 - 10*q. What is -n(b) - z(b)?\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from bsbm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -187 + 142 - (-36 - 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1 = 5*j, 2*b - 2*j - 7 = b. Calculate the least common multiple of 2 and (-1)\/((b\/(-10))\/3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 0 + (16 - 16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.87702 and -2.\nAnswer: -1.12298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (170\/(-8))\/(895\/(-138904))?\nAnswer: 2, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.7 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-8)*1368\/163647*6\/4?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 10*h = -14. Suppose h*o - 1360 = 1839. Is 50 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:02 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -4\/7, -0.5, 46, 1.\nAnswer: -4\/7, -0.5, -2\/17, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 8. Let n(t) = -8*t**2. Calculate n(d(w)).\nAnswer: -8*w**2 + 128*w - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/6)\/(3\/(-9)). Let a = c + 34. Suppose a*v = 33*v - 870000. What is v rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (26 + (-5 - 4)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 2027211*r + 6081606.\nAnswer: 3*(r - 675734)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2226334613 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410343 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (-35 - -37).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.1 - 10.4. Let g = 3.2 - 6. Let r = g + 3. Which is the biggest value? (a) s (b) 3\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2\/125 of a kilometer?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o - 6. Let g = -3.8 + -0.2. Let t = g - -4. What is the biggest value in o, 2, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 40*r**2 + 190*r + 4441. Give s(-42).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.7 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**2 + 2*p + 4. Let j be c(4). Let n be ((-10)\/8)\/(3\/j). Solve -2*l + 35 = -5*y - 4*l, -4*l - n = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y**3 + 2*y**2 - 2. Let k be j(2). What is the common denominator of -12\/13 and (k\/(-20))\/((7\/2)\/7)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 22 + 25 - 5*f**2 + 6*f**2 + 28*f. Let u be q(-26). Let s(p) = -2*p**2 + 6*p - 5. Let v(w) = w**2 - 6*w + 5. Let k(o) = 3*s(o) + 4*v(o). Give k(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5452)\/20445*10\/44.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 1992*r**3 + 397*r**3 - 15 - 1.\nAnswer: -1595*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 76 = -0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(z + 0*z - 866 + 868)*(2*z**2 + 0*z**2 - 3*z**2)*(16 - 16 - 2*z).\nAnswer: 4*z**4 + 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*p + 7. Let j be p\/6 - 3\/2. Let f be (6\/(-54))\/(2 + -3). Is j less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 4232448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, l: 9}. Give prob of sequence llj.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-4) + 26030550\/840?\nAnswer: 2, 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33924 and 16962?\nAnswer: 33924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1388268 and 103\/99162.\nAnswer: 1388268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q - 4*q**2 + 2*q**2 + 62*q + 124*q + 447*q in the form a*q**2 + b + n*q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -21*t**2. Let x(r) = 6*r**2 - 18*r - 6. Let y(f) = 4*f**2 - 8*f - 3. Let v(g) = 4*x(g) - 9*y(g). Determine v(w(i)).\nAnswer: -5292*i**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -8)\/(3\/9). Suppose 23 = -5*s - u. Let m be ((-4)\/10)\/((-42)\/s). Which is the nearest to 2\/3? (a) -0.1 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584463 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmu when three letters picked without replacement from {m: 3, x: 3, u: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 7 + 8. Let q be (0 + -1)\/(g\/15). Suppose -2*d - 7799998 = 3*t, 0 = -q*t - 2*d - 2*d - 12999996. Round t to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1444000*w. Let p be f(-1). Round p to the nearest ten thousand.\nAnswer: 1440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -104*t + 4. Let p be g(0). Let h(s) = s**3 - 3*s**2 + 2*s. Let w be h(2). Let n be (6\/(-12) - 2\/p)*w. Solve -3 = -n*k + k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22804 = 4*o - b, 4*b + 28505 = -3*o + 8*o. Let v be 20\/2*(-175)\/(-10). Suppose 0 = 3*t - 3*m + v - o, -2*t = -5*m - 3669. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.672987, 0.1, 0.2, -1, 4 in descending order.\nAnswer: 5, 4, 0.2, 0.1, -0.672987, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 7*j**6\/360 - 97*j**5\/90 + 973*j**4\/72 + 49*j**3\/3 - 1340*j**2. Determine f so that o(f) = 0.\nAnswer: -2\/7, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16460 and 7788872.\nAnswer: 38944360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, 38, 74, 144, 260, 434, 678, 1004?\n\"Answer: 2*d**3 - d**2 + 3*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3299636 millilitres?\nAnswer: 0.0003299636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19790642?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + f. Let x(y) = 4*y**2 + 10*y + 3. Let l(p) = -5*o(p) + x(p). Let h be l(5). Solve h = 2*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + -17)\/(-5) + 88\/(-18)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 888881.0000042 + -888876. Let k = -5 + v. What is k rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1101100001111001110?\nAnswer: -1101100001111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 262*z**2 - 270*z**2 - 3*z + 3*z + 14*z**5 wrt z.\nAnswer: 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 169 + 194. Suppose -3*s + w = -30. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7572 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f - 5. What are the prime factors of z(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14082 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10190558 - 11433.\nAnswer: -10201991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -67 in -5, -554, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 0*m - 6. Suppose 3*a = -4*b + 8, -4*b + b = 3*a - 9. Suppose 2 - 18 = -4*s. Put b, m, s in decreasing order.\nAnswer: s, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (-23 + 4 + 15). What is the nearest to 0.02 in 4\/5, 4\/9, 4\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.567 - -0.067. Which is the biggest value? (a) 0.5 (b) 2 (c) 1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 3 - 3)*(-57*o + 207*o + 212*o)*(-2*o**3 + o - o).\nAnswer: -2896*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0 - 1\/24*l**4 + 0*l**3 + 38*l**2 + 0*l + 1\/60*l**5. Factor u(m).\nAnswer: m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:39 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 5. Let r be k(2). Suppose 2*t + r*t = o + 630, 0 = -5*t - 5*o + 630. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e5831 + 2?\nAnswer: 2e5833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-152)\/2)\/(((-612)\/(-27))\/(-17))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1 + (-334)\/(-6). Let v = f - 54. Let y be (-12)\/(-6) + (-24)\/10. Which is the nearest to v? (a) 0 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -447551 (base 8) to base 6.\nAnswer: -3124533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2\/15 (c) -3\/4 (d) 210\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {e: 11, x: 3}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 3*v - 3. Let g be z(-3). Suppose -2*c = -9 - g. Solve 0 = 4*s + c - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-6))\/a*a**(-4)*(a*a**3\/a)\/a**(-5) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17222863, 34445729, 51668595, 68891461, 86114327, 103337193?\n\"Answer: 17222866*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*u - 1 = -616*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 - 3*v - 3. Let q(a) = 17*a**2 + 13*a + 13. Let t be (-860)\/(-6) + 32\/(-6) + 6. Let u = 138 - t. Determine u*q(h) - 26*b(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1286794*k**4 + 27230*k**2 + 44*k wrt k?\nAnswer: -30883056*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**2 - 27*q + 3. Let i(w) = 20*w**2 + 126*w - 14. Let x(g) = 6*i(g) + 28*v(g). Let d(s) = -131*s**2. Calculate d(x(u)).\nAnswer: -8384*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6344091\/100 + 63440. Calculate the common denominator of 61\/40 and a.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00590961 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 589733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 6612782\nAnswer: -6612782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7762)\/(-89263))\/((-30)\/(-69))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -3, -6, 4, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 p when four letters picked without replacement from {t: 3, o: 2, p: 10}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5048223kg to tonnes.\nAnswer: 0.0005048223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332 - -20311221?\nAnswer: 20312213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g**3 + 4*g**3 + g**3)*(-8 + 165 + 37) + (0 + 5 - 4)*(-11*g**3 + 17 - 17).\nAnswer: -205*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**4\/3 + 45*c**2 + 1. Let q(b) = -10*b. Determine q(s(g)).\nAnswer: -80*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25409 + -724043.\nAnswer: -698634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186642 and 70002.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, s: 7}. What is prob of sequence ws?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjszq. Give prob of picking 1 j, 1 s, 1 q, and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/45*(102\/8)\/17?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242178 is divided by 9686?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -7, -20, -39, -64, -95?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 647*f + 2. Let c(i) = 2273562*i + 7029. Calculate -6*c(q) + 21087*j(q).\nAnswer: 1917*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is -12004054 (base 8) in base 2?\nAnswer: -1010000000100000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/308)\/((-7)\/(-7))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25588 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*b + 2*b + k, 5*k + 21 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24840)\/1050)\/23*(-330)\/(-44).\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a + 2. Let o(y) be the second derivative of -26*y + 1\/2*y**3 - 3\/2*y**2 + 0 + 0*y**4 - 1\/10*y**5. Let j(k) = 2*o(k) + 5*v(k). What is j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-15))\/a*a)\/a**(-1))\/(a*a**1)**43 assuming a is positive.\nAnswer: a**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 530, -3, 3, 2 in ascending order.\nAnswer: -3, 2, 3, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 150388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.11 (b) -4 (c) 4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4035250, -8070505, -12105758, -16141009?\nAnswer: -20176258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 + 421*n - 409*n**4 + 1762*n**4 + 1554*n + 757*n**4 + 283*n**4 wrt n?\nAnswer: 28716*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 938011, 1876031, 2814049, 3752065, 4690079, 5628091?\nAnswer: 6566101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = 0, 3*t - 4*p - 578 = -115. Suppose -w + 1336 = 5*g + w, -2*g + 2*w = -526. Let i = g - t. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -12*y + 4, -2*y - 14*o + 12 = -10*o + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z - z)*(2 - 3 - 1) + 92 - 92 + 30*z + 89*z - 29*z + 14*z.\nAnswer: 106*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.8 - -8. Let m = w - 0.7. Let n = 4 + -3.6. Which is the second smallest value? (a) 3\/8 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.062 + 0.268. Let n = 1.33 - s. What is the second smallest value in 0.5, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18071449 and -21.\nAnswer: -379500429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 p when four letters picked without replacement from tpptiiippptppt?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 15. Let j(k) = k - 14. Let o(s) = -3*j(s) - 2*n(s). Suppose 0 = i - 0*i. Is o(i) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -24 + (-486472)\/(-8687)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 11 - 99. Suppose -b - 3*b + w = 0. Suppose 0 = 3*v - 4*i - 49, -2*i - b = -2*v + 8. Calculate the remainder when v is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - -1 - ((-17 + 31 - 14) + 7 + -6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-22)\/(r*(r*((r\/r**(-3\/13))\/r)\/r)\/r))\/(r*r*r**(-17)*r)**(3\/10) assuming r is positive.\nAnswer: r**(-1172\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 10 = j, 2*j - 3*q - 7 = -1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -28*a**2 - 7*a + 10. Let z be u(-2). Let o be 75\/z + 6\/(-14). Sort -1\/9, 2\/19, 5, o in decreasing order.\nAnswer: 5, o, 2\/19, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70941 divided by -221.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in millimeters?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23395, -22710, -22025?\nAnswer: -21340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:31 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1908059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 183, 382, 597, 834, 1099, 1398, 1737, 2122?\n\"Answer: j**3 + 2*j**2 + 186*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1826 and -109.\nAnswer: -199034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8052292*p**3*q + 25*p**2 + p + 25996*q wrt p.\nAnswer: 48313752*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + k**2 + 2*k - 5. Let x be j(1). Put 1, x, -198 in descending order.\nAnswer: 1, x, -198","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 648821.\nAnswer: 648817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 376 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -1e?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 96. Suppose -3420 = -14*i - 140*i - 17*i. Suppose -2*m = -2*j - q, -j = -m - 2*j + i. What is the greatest common factor of 36 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8487, 5938, 3379, 804, -1793, -4418, -7077?\n\"Answer: -v**3 + v**2 - 2545*v + 11032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 10*y**2 - 6*y + 5. Let l be g(11). Suppose 5*u - l = -0*u - n, -5*n - 77 = -4*u. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -1, 0, 5, 0.5, -12, 860?\nAnswer: 860","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 6. Let z = 2 + -2.15. Let o = z - -0.15. Which is the second biggest value? (a) y (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 4:38 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42.73 - -0.93. Let f = j - -47. Let q = -5.179 + f. What is q rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*f - 96, -f + 29 = -2*s - 35. Let p = 4361\/33 - 301\/3. Let w = s + p. Sort 3, -1, w.\nAnswer: -1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -135372*j**2 + 477910.\nAnswer: -270744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 5:44 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.91063917588 + -0.3?\nAnswer: -201.21063917588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - (-50 - -46)\/2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1) - 2*2\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/11520 and -37\/4352.\nAnswer: 195840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2956 and 10.4.\nAnswer: -2945.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 298.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (2*sqrt(112) + sqrt(112))**2) + (-1*sqrt(7)*3 - (4*((sqrt(7) + 1)**2 + sqrt(7)) + sqrt(7))).\nAnswer: -16*sqrt(7) + 6034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*s**3 - 18*s**3 + 9521 - 9521.\nAnswer: -49*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {l: 3, b: 1, z: 10, j: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20156981.2 + 17932.\nAnswer: -20139049.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/15 - (-1)\/(-3). Suppose -5*o = -5*r + 23 - 173, -r - 5 = g. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.16172 centuries in decades?\nAnswer: 991.6172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29706.\nAnswer: 2, 3, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.08 + -18.92. What is the third smallest value in -5, 2\/11, d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (147\/(-4))\/(-21)*(-1)\/(-7)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-267*v + 3*v - 48 + 0*v + 89 + 36)*(v - 1 + 1).\nAnswer: -264*v**2 + 77*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3298823 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88 - (354 - 27)) + 126?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 6:43 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(33)*-4)\/sqrt(3) + sqrt(11)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s - 28. Let h be w(-3). Let q(z) = -z**2 - 1 - 6*z - 4 + 0*z**2. Determine q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 296315.13469733 + -296315.1. Let p = 1.56 + -1.5947. Let k = q + p. What is k rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (119 - (113 - -128)).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 31*w - 77. Let g be v(-3). What is the highest common factor of g and 1125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/4 and -49\/488?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - h + 20. Suppose 0 = 4*j + 2*a + 7 + 1, -h = -5*a. Let q be (-4)\/(-6) - 17\/3. Put 3, j, q in decreasing order.\nAnswer: 3, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -42. Let o = -13 + 28. Let x = o - u. Solve -x*d = 2*d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 22*m + 6. Calculate z(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 44. Let v(w) = -w. Let d(g) = -4*g. Suppose 30*q - 1 = 29*q. Let s(l) = q*d(l) - 6*v(l). What is s(z(x))?\nAnswer: 6*x - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13 + 9)*23\/(-4). Let j = h - 7. What is the smallest common multiple of (-12)\/(-4)*1 - 3 - -20 and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o\/o**(-3\/5)*o**(-5)*o*o*(o*(o**(-1\/4)*o)\/o*o)**(-41))**22 assuming o is positive.\nAnswer: o**(-15433\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 59*f - 3007*f**3 + 2959*f**3.\nAnswer: -48*f**3 - 53*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.9 + 39.6. Let g be 2\/44*-47 + 2. What is the third smallest value in v, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -38. Is 0*(-3)\/15 - q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 82*(12\/(-21) + 0). Let q = -47 - m. Let u = -35 - -35.3. Which is the second smallest value? (a) u (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + w**2 + 3*w**2 - 2*w**2)*(3 + 12 - 16)*(2 + 3 + 3).\nAnswer: -16*w**2 - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3636 - 1.2636. Let k = 703\/55 + -63\/5. Which is the second smallest value? (a) -0.3 (b) 36 (c) k (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.943 rounded to 1 decimal place?\nAnswer: 44.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 + 9*h - 8. Let n be g(-4). Let y be 48\/(-210) - (-1)\/(-7)*n. What is the third biggest value in -2\/5, y, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -10. Suppose -4*u + 140 = -t*i + 36, -3*u = 3*i - 96. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**7))**(-2\/71) assuming l is positive.\nAnswer: l**(14\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72357.\nAnswer: 3, 89, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 11) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -25.4\nAnswer: 34.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63723311 - 130759778. Let f = 67036543.0000022 + a. Let h = f + -76. Round h to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 1:36 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*r - i, -5*r + 25 = 3*i - i. Suppose -r*v - 128 = -656. Calculate the greatest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 14*x - 10. Let y be b(14). Which is smaller: -13 or y?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*n - 50 = 3*g, -10 = g + 4*n. What is the remainder when 33 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 4*g**2 + 5*g + 5. Let u be q(5). Let a(h) = -3*h - 1. What is a(u)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 + 108. Calculate the smallest common multiple of h and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 4*k**2 + 2*k - 2. Let d be m(-2). Let f(a) = 5*a + 6. Let o(g) = -13 + 2263*g - 757*g - 763*g - 754*g. Calculate d*o(n) - 13*f(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 + 744*h**3 + 97587*h**2 + 472396*h + 375552 = 0. Calculate h.\nAnswer: -576, -163, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-15)*(-90)\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154175750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1680.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -16 (b) -0.1 (c) 3 (d) -153.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 93. Let w = -0.015 - -0.615. Which is the closest to w? (a) -1 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-35 - 1 - (77 - 83)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.204 + -5.204. What is the third smallest value in d, -0.3, 0, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 34297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*s - 10. Suppose 0 = -v + 4*v - s. Suppose -5*n - d = -6*d + 15, -v = 4*n - 2*d. Let j(t) = -3*t. Let x(y) = -4*y. Give n*x(f) - 3*j(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 11*a**2 - 14*a + 9. Let x be k(12). Let n = 9 + x. Let q = -5 - n. Which is smaller: -1\/11 or q?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119984627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51234 - -4?\nAnswer: -51230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 9*g**2 + 14*g - 77. Let s be j(-11). Suppose -3*w + 165 = 2*w. What is the remainder when (s\/w)\/(1\/63) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15468 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2055465234 less than -2055465235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 17476.2 years?\nAnswer: 17.4762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -356562*m - 3922103. Give x(-11).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1079502951 rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 75\/4 of a meter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = -5. Let o be (30 - 2)\/(v - 3). Is 15 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = 25. Suppose c = 2*c - 5, -15 = q - 2*c. Are m and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -11*t**2 + 598 - 598. Let z(b) be the second derivative of 0*b**2 + 0 - 1\/3*b**3 - b. Give q(z(m)).\nAnswer: -44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:03 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 3 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20608903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -10) + -15 + -5 - 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28305889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 242364 (base 7) in base 2?\nAnswer: 1010110001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*w**2 - 40567*w + 40567*w.\nAnswer: 218*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/18*(3 + 9). Suppose 18*j + 8 = 152. Solve -l - k + 2*k = c, l = 2*k - j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 14 + -8 + 2 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4653 and 86272307.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3862114087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3656608, -7313334, -10970062, -14626792, -18283524?\n\"Answer: -x**2 - 3656723*x + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -212, -439, -674, -923, -1192, -1487?\n\"Answer: -x**3 + 2*x**2 - 226*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/13 (b) 2 (c) 25 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -30. Let w be (-4)\/z*12\/8. Let m = -43 - -47. What is the closest to w in m, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 50, 3?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2)*(51 + -52).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 40*f + 2. Let w be u(4). Suppose -4*s = 2*s - w. What is the remainder when 50 is divided by s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3469867\/54 + -64259. Find the common denominator of j and 1\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + 4 + (sqrt(22)\/sqrt(2)*-1 - (sqrt(11) + sqrt(44)*1))))**2.\nAnswer: -24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 566, 1132, 1698?\n\"Answer: 566*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*f**4 - 146*f**4 + 196*f**2 + 282*f**4 + 186*f**3 + 257*f**2 wrt f?\nAnswer: -72*f + 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u + 13. Let h be 3\/(-1)*-1 + -3. Let l(r) = -3*r - 8 - 1 + h + 0. Let b = 7 + -2. Give b*d(p) + 7*l(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665566939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokzookkokozk. Give prob of sequence ooo.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29439563\/31526 + 10272\/11. Let g be (-106037)\/14330 - (-1)\/2. Let q = g + k. Find the common denominator of q and -43\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4367441?\nAnswer: 13, 335957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 minutes before 7:00 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3889458, 7778915, 11668372, 15557829, 19447286, 23336743?\n\"Answer: 3889457*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*g - 3\/2*g**3 + 0 - 3*g**2.\nAnswer: -3*g*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 216014 and 2.881.\nAnswer: 216016.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 267 - 145 = -4*l + 68, 8*l + 13*m + 486 = -5*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t - 3*t)*((-3 + 2 + 0)*(2*t - 2*t + t) + 63*t + 66 - 66 - 1 + t + 1).\nAnswer: -63*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 26*y**2 - y - 5. Let z be l(-4). What is the units digit of z\/20 + 3\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/3)\/(30\/(-5400)*-45).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 15116 (b) -49 (c) 160 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(2 + -7)*-6. Let y(k) = -7*k + 12. Let r(s) = 6*s - 11. Let b(n) = 6*r(n) + 5*y(n). Let l be b(a). Let d(q) = -q**2 - q - 1. Calculate d(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4}. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -n + 2*z, -4*z + 0*z - 16 = 0. Let o = -2 - 5. Let v = -43.41 + 38.41. Which is the fourth smallest value? (a) o (b) -0.4 (c) v (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.35576 hours to minutes.\nAnswer: 2001.3456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3807235173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a day in minutes?\nAnswer: 12672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/16)\/((-10)\/(-272)))\/((-1255)\/6275)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 1 - 2*p**2 - 2 + 26 - 17*p. Let h be a(-19). Which is greater: -13 or h?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*l = 138*l + 61*l - 104*l + 220 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 136.9, -1 in descending order.\nAnswer: 136.9, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 476 and 448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z**2 - 277*z + 10068. Let w(x) = 9*x**2 - 138*x + 5033. Let b(u) = 4*i(u) - 7*w(u). Factor b(d).\nAnswer: (d - 71)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (280\/(-90))\/(54\/(-4)) and -151\/36.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 55, 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.159953m to nanometers.\nAnswer: 6159953000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 244*z**4 + z + 1753 with respect to z.\nAnswer: 976*z**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -5*z + 2*c - 98 + 289, c + 157 = 2*z for z.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + 6*g - 3*g + (-6 + 1 - 1)*(-g + 6*g - 2*g)*(2 - 1 + 5).\nAnswer: -110*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b + 53. Calculate n(-17).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*u = 633*u + 746*u - 9540 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21041*z**2 - 8081*z + 9 wrt z?\nAnswer: -42082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r + 13. What are the prime factors of a(5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-280)\/(-161)))\/((-3)\/(-75)*5).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 20. Suppose -24 = -z*l + l. Let p be (l\/(-9) - 1)*-9. What is the greatest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-five halves of a gram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14011311351 - -1?\nAnswer: -14011311350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1183518\/5 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296693?\nAnswer: 296693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -91 + 53. Let k = 33 + n. Let i = -3 - k. What is the smallest common multiple of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 29 + 19 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/14)\/((-5)\/80*16\/(-12))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7 - 4*v - 11 + 11*v**2 - 16. Is x(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0*c**5 + 0*c**4 + 2*c - 1\/6*c**3 + 0 - 1\/10*c**6 + 0*c**2. Find the second derivative of z(q) wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = 3*m, 2*m = m + 5. What is the closest to h in 1\/6, -1, -1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-7)*((-91140)\/175)\/62.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (368\/3207120*83)\/(1\/4*4\/2)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 + 12*f**2 - 12*f**4 + 3*f**5 - 11*f**3 + 8*f + 7*f**3 - 3*f**5 = 0 for f.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 54 = -14*p + 5. Suppose j + 0*j - 3 = 0. Suppose f - 1 - j = 0. Solve 3*a + 1 = 4*u + p, -f*u = 2*a + 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002270121 rounded to 6 decimal places?\nAnswer: -0.00227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 3\/(-3))\/2. Suppose 3*j - u - 16 = i, -4*j + 0*u - 2*u = -28. Let r be (-39)\/(-45) - j\/9. Which is the biggest value? (a) -2\/9 (b) -2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1704530, -1704525, -1704520, -1704515, -1704510?\n\"Answer: 5*x - 1704535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 + -3)*(0 - -1). Suppose -i = -v + 15. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 332 - 114 - 4*b**2.\nAnswer: -6*b**2 - 446","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 448 + -447.2. Let i = -290 + 288. Let l = -0.05 + 2.05. Which is the closest to 1? (a) s (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.161 and -15.925?\nAnswer: 2.563925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2. Suppose 0 = -i + 225 - 224. Let b(q) = 6*q**3 - 18*q**2. Calculate i*b(g) - 18*v(g).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*k - 2*k + 3*w, 3*w + 1 = k. Let y = k - -17. Suppose -3*z = -2*b + 8, -5*z - y = b - 4*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6669\/(-3393)*-29 - 48.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4419856 and 3040?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 h, and 1 x when three letters picked without replacement from {s: 2, x: 8, h: 5, l: 2}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*z - 4 - 1, 0 = -2*z - 2*d - 2. Let o(g) = g**2 - 2*g + 1. Calculate o(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -18*g. Let b(j) = 4140879*j**2. Calculate b(h(f)).\nAnswer: 1341644796*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o - 19. Let m(l) = -4*l + 10. Let v(b) = 3*k(b) + 7*m(b). Let c be v(7). Suppose 0 = -j - 3*w + 37, -3*j + 3*w + 141 = c*w. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(45)\/(3*sqrt(10)\/sqrt(2)))\/(1*-5*sqrt(12)\/sqrt(4)))**2.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 395, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 3*y - 2*y + 3*y - 4*y - y - 2*y + 2*y - 6*y + 2 + y - 2 + (y - 3*y + 0*y)*(4 + 0 - 2) - 2*y + y + 0*y)*(-2*y**2 - 4*y**2 + 4*y**2).\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269136*g + 134441*g - 54 + 134709*g.\nAnswer: 14*g - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -5) + -1 - (-22 + 22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -72*f**3 + 6*f - 7. Let t(y) = -y**3 - y + 1. Calculate 5*t(u) + z(u).\nAnswer: -77*u**3 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.9, 25, 0, -4, -0.3, -2\/13.\nAnswer: -4, -0.3, -2\/13, 0, 13.9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -7. Let f be q\/8 + (-196)\/16. List the prime factors of 1 + (-4)\/(f\/33).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-2)*((-6468)\/(-432) + -15)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 9*s**2 + 23 - 78 + 28 - 42*s in the form a + k*s**2 + w*s and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3425 less than 23905?\nAnswer: 27330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 142317.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**6*p)\/(p\/(p\/(p**(1\/10)\/p))))**(5\/6)\/((p\/p**5)\/(p\/p**(-1\/4))*p**(-1\/5)\/p*(p*p**(2\/9)\/p)\/p*p) assuming p is positive.\nAnswer: p**(614\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 smaller than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 128 - -18?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 23?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9653721 is divided by 689551.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -6 + 1)*(-49 - 15). What is the highest common divisor of 304 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-11)\/5 - -1)*-5. Suppose -19*u - 24 = -41 + 36. Let f(o) = -10*o**3 - 6. Let k(t) = -t**3 - 1. What is u*f(i) + z*k(i)?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3504.737 + -3501. Let b = 54.963 - 55. Let d = o + b. What is d rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y*y\/(y\/y**(-1)))*y)**(9\/4)*(y\/(y*y**(-2)))\/((y\/(y*y\/(y\/(y\/(y**(-1\/4)*y)))))\/y))**(3\/43))**(-49) assuming y is positive.\nAnswer: y**(-1617\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r + 16. Let c be (r\/(-14))\/((-41)\/574). Solve -j + m + 3*m = 2, -c = -4*m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 586 (base 10) to base 7\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.15 (b) -0.1 (c) -5 (d) 2\/9 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650542199.\nAnswer: 11657, 55807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 6 + v + 0*v - 6. Let a(y) = y. Calculate 5*a(i) - 2*j(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1639 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -76 (b) 4 (c) 0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 55.14225?\nAnswer: 55.64225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 15*g - 30. Let c be y(4). Suppose 0 = -2*o - c + 24. Which is smaller: -17\/4 or o?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80170482 is divided by 2672349?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -17. Let r = 11 - k. Suppose 0 = -r*x + 8*x. Solve 4*n = 4*y + 4, -3*n - 3*y = -x*y + 27 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from aeaaxuaruuexuxnaar.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 21) + (3 - (2 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + z + 2*z**3 - z - z + 1 to x + b*z**2 + c*z**3 + i*z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 3*q + 32 + 13, -3*q = 0. Let x(k) = -34 - 23 - 24 + 94 - 4*k - 14. Let l(a) = -16*a - 5. What is z*x(c) + 2*l(c)?\nAnswer: 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47517671 + 0.043?\nAnswer: -47517670.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 3*j + 2*j - 3*j + 3*j + 3*j + (j + j - 3*j)*(4 - 1 - 7).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**6\/3 + 12*x**5\/5 - 6*x**4 + 20*x**3\/3 - 3*x**2 + 209. Factor h(b).\nAnswer: -2*b*(b - 3)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1331 - -2?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1168*b**2*q**3 + 2*b**2*q - 4*b**2 + 12965*b - 761*q**3 - 8*q**2 - 1 wrt q?\nAnswer: -7008*b**2 - 4566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 6:27 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*f**3 + 9*f**2 - 9*f**2 - 107*f**3 + 221*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/5)\/t**(-8\/3)*(t\/((t**(-17)*t)\/t*t))\/t**3 assuming t is positive.\nAnswer: t**(247\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 794*d - 4. Suppose -3*l + 5*l = 4. Let r be y(l). Let h = 2904 - r. What is h rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14132 (base 6) to base 8\nAnswer: -4250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - 0.1. Let z = -0.2815 - 43.7185. Sort h, z, -3 in descending order.\nAnswer: h, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 - 525*r**2 - 127729*r\/6 + 68585.\nAnswer: (r - 3190)*(r - 3)*(r + 43)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - 1 + 49559*i**3 + 2*i + 143*i**2 - 49561*i**3 in the form p*i + h*i**3 + k + r*i**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faa when three letters picked without replacement from ffffacggaagff.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2341 and -0.5145.\nAnswer: 1204.4445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79243 is divided by 11292?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 9*b - 12)*(-369*b**3 + 300*b**3 + 1335*b**3) in the form j*b**2 + v + u*b + n*b**3 + m*b**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 3*d + 3. Let b be n(3). Let k be b\/6*7*2. Suppose -2*c - 3 + k = 0. What is the remainder when c is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 364106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 3 + 2241 + -9.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/7, 4, 1\/43, 2, 0.4, -5512?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3146)\/(-182) - 18)*6\/(-5)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282257920 rounded to the nearest one million?\nAnswer: 282000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - 23. Let i = 43 + w. Let m = i + 33. Which is the fourth biggest value? (a) m (b) -1 (c) 0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 5*d - 19. Let l = d + 24. What is the least common multiple of 12 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 8. Suppose 0*c = f*c + 4*c. Suppose c = -s - 85 + 84. Let o(j) = 7*j**2 + j + 1. Give o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8251478243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - -4. Does 35 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99722 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + 6*f**2 + 3*f**2 + (-343*f**2 + 675*f**2 - 113*f**2)*(2 - 2 - 1) - 4*f + f**2 + 4*f - 2.\nAnswer: -209*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 418165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3574 - 282323\/79. What is the common denominator of m and 26\/237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 8*h + 296 - 268. Solve -h*f = -3*i + 4, 2*i = f - 0*f + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22121 rounded to the nearest 100?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22475\/13 - -1729. What is the closest to 0 in 1, g, -6, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 193. Suppose 5*d - 4*a = -16 + y, -a - 65 = -2*d. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*p + 5, -3*i = -4*p - 0*p - 4. Calculate the smallest common multiple of 2 and 3\/6*(23 - p).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153800 and 182.\nAnswer: 13995800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 2*d. Suppose d = 3*q + 2*q - 175. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20 + 25)*(1 - 0). Let x be (3 + -2)\/(1 + -2). Let c(m) = -m**3 + 5*m**2 - 6*m + 4. Let o be c(4). Sort z, x, o in descending order.\nAnswer: z, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = -3*l + 2, -d = -3*l + 1. Let c be (d\/(-2))\/(6\/48). Let g be c + -3 + (0 - -1). Solve -n + 1 = -1, 3*n - 6 = -g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*w = -0*w - 2, 3*w - 3 = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Solve -g*d**5 + 0*d**4 + d**5 - 6*d**4 + 2*d**4 - 2*d**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -10*o - 3*o. Suppose -11*d = -o*d - 136. Sort 2, d, -5 in decreasing order.\nAnswer: 2, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788 - 788 + 7*o + 9*o - 7*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.06, -4, 1, -0.01?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34865 and 5630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02705, -365, -5, 4?\nAnswer: 0.02705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1. Suppose 2*c - 8 = -6. Let u be (2 - 1)*c*1. Let b be (-2 - -3)*-1 - 0. Let m(n) = -n - 1. What is b*h(z) + u*m(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021288 to 6 dps.\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38 - -58. What is the remainder when 77 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5 + 95. Suppose 2*g - 816 = 5*c, -g - 321 = -c + 3*c. What is the least common multiple of t and 9\/21 - c\/14?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5344 by 16.\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-6)\/4) - (-11)\/33. Put 4, 3, y, -2 in descending order.\nAnswer: 4, 3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 1557.1?\nAnswer: 1558.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-1)\/5*2). Suppose -h = -4*f - f. Let r be (-3)\/(-10)*(-42)\/(-9). Is r greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**0)**5*(r**(-2)*r)\/r*r*r**(-4)*r)\/(r**(-2\/3)\/((r\/(r*r*r**(-1\/8)\/r))\/r)*(r*r\/(r*r\/(r**(-2\/27)\/r)*r))\/(r**(-1\/8)*r)) assuming r is positive.\nAnswer: r**(101\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -14 + 2. Let i be c\/10 - 66\/(-15). Suppose -4*n = n - i. Solve -n = u + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2. Let x(h) = 3*h + 34. What is o(x(u))?\nAnswer: -27*u**2 - 612*u - 3468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 1434*g + 44820.\nAnswer: -2*(g - 747)*(g + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21573853 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*f - 15 = 0, -b + 4*f = 4*b - 33. Calculate the lowest common multiple of 5 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 1. Let q(s) = s - 8. Suppose -x + 22 = 12. Let c be q(x). Let o(n) be the second derivative of n**4\/6 - n**3\/3 - 2*n. Determine c*u(y) + o(y).\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 64 = -h, -4*m - h - 70 = 15. Let s be (-4)\/7 - ((-51)\/m - -1). Let z be (-316)\/(-8) + 6\/s. Calculate the highest common divisor of z and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 9 - 26)*(4*l + 2*l + 5*l)*(2 + l**3 - 2) to the form w*l**3 + g + v*l + i*l**4 + j*l**2 and give i.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 7*q**2 - 4*q - 13. Calculate the remainder when b(-7) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 at least as big as 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196075121 is divided by 98037558.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 46992 divided by 48\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -60. What is the remainder when p is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220110 - -10002000?\nAnswer: 11222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s + 744 = -37*s. Suppose 4*p = -106 + s. Calculate the remainder when p is divided by (0 - 1)\/((-2)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/8 - 729*c**3\/8 + 1455*c**2\/8 - 727*c\/8 = 0. Calculate c.\nAnswer: 0, 1, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttptpta. Give prob of picking 3 t.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 1425*r**3 + 635*r**3 + 0*r - 3072*r**3 - 12*r.\nAnswer: -3862*r**3 - 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 2. Let q be y(1). Suppose -8*r = 5*f - 4*r + 88, -3*f - q*r = 51. Is ((-699)\/(-5) + -1)\/((-8)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -41. Let d be 2 + 48\/(-3)*3\/s. Let g = 4 - -2. What is the closest to 0 in g, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15662159 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 -169, -93, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 331 + -332. Let d be -3 - -4*(u + 3)\/1. Sort d, -1, -3, 2 in decreasing order.\nAnswer: d, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -652169.836 to the nearest 10.\nAnswer: -652170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 4. Let h be z(-12). Let j = h - -36. What is the greatest common divisor of j and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.48 * -502.4\nAnswer: -2250.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -40, -4, -7 in decreasing order.\nAnswer: -3, -4, -7, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 519.99607 + -520. What is k rounded to four decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190808 (base 15) to base 12\nAnswer: -4a8208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, a: 2, n: 3, y: 1, r: 1}. Give prob of picking 1 r and 2 a.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7164558, -7164561, -7164560, -7164549, -7164522?\n\"Answer: r**3 - 4*r**2 + 2*r - 7164557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131130 is divided by 103?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 2*z**7\/7 - 22*z**6\/3 - z**3\/3 + 3*z**2\/2 - 27. Find the third derivative of p(c) wrt c.\nAnswer: 240*c**3 - 2640*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**4\/6 + 13*g**3\/3 + 35*g**2. Find the first derivative of m(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2957? (a) 16.7 (b) 5 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25622 + -25625. Suppose 0 = -5*m + 8 + 2. Let x be 0 - -1*(m + 0). Put 3, s, x in increasing order.\nAnswer: s, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 4 - (-42 + 68 + -43).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 61 - 8*r)*(-1051 + 2108 - 1057 - 35*r - 476*r).\nAnswer: 4088*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 55032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*g - 550*g = -219*g - 1309 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 8\/(-14) + 567\/49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*v - 27 = 0, 5*v + 10 = 3*l - 0*v. Calculate the common denominator of -53\/3 and 132\/(-195) + l*12\/(-150).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -19*n**2 + 118*n + 17. Calculate z(7).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) 7 (b) -1\/4 (c) 2.691\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 3*j - 3*j)*(-668 - 84 - 210) to the form z + r*j and give r.\nAnswer: 4810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1651 - -1651. Suppose 0 + 0*h**4 + 2\/5*h**3 + c*h**2 - 2\/5*h**5 + 0*h = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381928 plus -0.2?\nAnswer: 381927.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 3. Let c be u(3). Let p be (6 + -3)\/(1\/(-2)). Let t = p - -48. Calculate the highest common factor of c and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/4 - (-2 - 1). Let y = k - -4. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 234*x**2. Let s(a) = 34*a**2. Give s(d(r)).\nAnswer: 1861704*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-2\/25)*c*c**(-2\/11))**(-50))**43)**(28\/3) assuming c is positive.\nAnswer: c**(-604408\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2119536 and 310176?\nAnswer: 12717216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (5 - -1 - 1)) + -242 + 249?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 6. Let h(l) = -14*l - 91. Let p(s) = -91*a(s) - 6*h(s). Suppose -3*z + q = 5, 11 + 4 = -5*z + 5*q. What is the units digit of p(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-626)\/(-42) + 0 - 28\/(-294). Suppose 0*w + 5*w = 5*y + 125, -3*y = w - 5. Solve -4*s - w = -b, 5*b - 5 = -2*s - p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*u = 9*u - 77, -2*n + 2*u = -104. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p = -545781 + 545078 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 457941651 to the power of 1\/2, to the nearest integer?\nAnswer: 21400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.29 + -2.16. Let h = o - 45.13. Let z = 33 + h. What is the smallest value in -0.1, 2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.052 (b) 4 (c) -1\/2 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 59, -5.\nAnswer: -5, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164375, 657864, 1480389, 2631944, 4112523, 5922120?\nAnswer: 8060729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 95496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 4:24 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-108)\/(-42) - (67 - 51 - 230\/14). Let 0*k + 48*k**2 - 75\/2*k**5 + 0 + 135*k**4 - 144*k**p = 0. Calculate k.\nAnswer: 0, 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + i)*(-308*i - 302*i - 39 + 607*i).\nAnswer: -3*i**2 - 39*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + -2a65?\nAnswer: -2a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 7, -1616.3, 1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*z = -4*r - 122*z + 1120, -5*r + 1397 = z. Calculate the highest common divisor of r and 1488.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 + (1 + -2 - 1). Suppose 2*r - x = 39, -k*r + 2*r + 5*x = -110. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let d(p) = 3518*p**2. What is d(h(m))?\nAnswer: 3518*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - 11?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 275 - 271 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85313520 divided by 1016?\nAnswer: 83970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(152) - 1*sqrt(152)) + sqrt(152))\/(sqrt(968)*-2 - sqrt(968)).\nAnswer: -sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 9 - (-40 + 36)) + 3 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1611 or 1?\nAnswer: -2\/1611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4027082 minutes in seconds?\nAnswer: 24.162492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 75 = 1. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -24*z**2 + 1. Let g(j) = 2*j. What is g(r(a))?\nAnswer: -48*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 277.54 to 0 decimal places.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000 + 101?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, x: 9}. What is prob of sequence xllx?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkklkl. Give prob of sequence ll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/10 + 0)\/((-24)\/(-80))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 14*c**2 - 10*c + 15. Give d(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(153) + 1 + sqrt(102)\/sqrt(6) + (-6*(2*(sqrt(17) + 4) - sqrt(17)))**2*1.\nAnswer: 580*sqrt(17) + 2922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -183\/8 (b) 4 (c) 27 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -14. Suppose 2*k = 0, -b*n - 3*k + 44 = n. Let v(j) = j + 5. Let u be v(-4). What is the highest common factor of n and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60145*t = -60141*t + 4*b - 344, 3*b - 254 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + g**4 - 2134 - 28*g**2 + 2133 + (-1 + 4 - 2)*(0*g**4 + 0*g**4 + 2*g**4) + 40 - 40 + 6*g**4 to n*g + x*g**3 + z*g**4 + o + c*g**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 = 2, -j = -3*f - 3. Calculate the lowest common multiple of j and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 151.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1054624 divided by 32957.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 13 = -109 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 + -597068104?\nAnswer: -597068103.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 5079 = 16*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/50*(20\/(-12))\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 + 175. Suppose c = 2*l + 15. Calculate the greatest common divisor of 38 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4 - 9) - (0 + -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 67*b**2. Let y(r) = -r**2 - r - 83598. Calculate y(c(q)).\nAnswer: -4489*q**4 - 67*q**2 - 83598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 17*i + 8. Suppose -80 = 72*x - 82*x. Let k(o) = -o**2 - 11*o + 2*o**2 + 5 - 2*o**2. Calculate x*k(m) - 5*b(m).\nAnswer: 2*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**(2\/9))*m)\/m)\/m**(2\/5)*(m**(-2\/3))**(-3\/10))**(-11\/2) assuming m is positive.\nAnswer: m**(209\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44891 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 7:07 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourteeen ninths of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.4 (b) 28.364 (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 2, 0.801, 76\/29?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2074*w - 2075*w + 4*j = -63, -4*w + 3*j + 174 = 0. What is the remainder when 2037 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168*a**3 - a**2 - 42.\nAnswer: 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + 34*w + 214. Calculate the remainder when 241 is divided by d(-7).\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:27 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/((-3264)\/(-108))*-4*1\/21\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/((-1)\/(-2)). Suppose -5*x - 4*x + 36 = 0. Let h = -26789 - -26784. Which is the closest to -8? (a) x (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67664 divided by 16916.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:11 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*a**2 + 3285*a - 70150.\nAnswer: -5*(a - 61)*(7*a - 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(525\/21)\/(-300)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 10 = 0, i + 0*i + 5*x = -10. Solve -5*o + 11 + 9 = i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -12 - 27 - j + 57. Let v = 14 + 1. Let i be h(v). Solve 7*d = i*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*i - 8*i + 1158, 3*i = -5*f + 1162. Calculate the greatest common divisor of 92 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 34011?\nAnswer: 306099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 6:28 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/(-6))\/(-4)*(-19 + 74209\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 759*k - 763*k + 20 = 0, k - 5 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.07 + -7. Let f = 3.93 + k. What is the smallest value in -2\/15, f, 2\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3355 + 6441. Let n(o) = -2*o - 1. Let g be n(-3). Suppose g*m + 4895 = -z, 2*z - m + 5*m + f = 0. Round z to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n + 36*n - 4370 = 13198. What is the greatest common divisor of n and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 204 - 1727568335026.\nAnswer: -1727568334822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/(-14) - (-10)\/(-35). Let g be (-4)\/(-3)*(y - -3). Put g, 4, 2 in descending order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1582, 10, 3\/2 in increasing order.\nAnswer: 3\/2, 10, 1582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19175.4654 and 4.\nAnswer: -19171.4654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/4)*y**(1\/4))**(-17)\/((y\/y**(2\/7))**(-3\/19)\/(y**(-2\/7)*y)**(-43)) assuming y is positive.\nAnswer: y**(-5879\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -7\/2, 24, -2\/13?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r + 38 = 4*v, 0 = 3*r - 4*v - 42. What is the lowest common multiple of 50 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000444959469 to 7 decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -251, -103, 5 in descending order.\nAnswer: 87, 5, -103, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1048*h - 11772 = -3991*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -44. Suppose -2*u = 2 - b. Suppose -6 = w - 2*d, u*w - d = -0*d - 3. Solve w = 4*o - 2*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 22. Let v be g(-18). Find the first derivative of -4031 - 26*n**4 + 3876 - v*n**3 + 4*n**3 wrt n.\nAnswer: -104*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354753?\nAnswer: 3, 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3660 divided by 6\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1201 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794*m**3 - 656*m**3 + 1431*m**3.\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 10. Let f = -3 - -1. Let s be (-1 + (-3)\/f)*6. Solve u + 2*i + s + 2 = 0, u - 2*i + 5 = p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8*k + 12 = 0. Solve -k*n = -2*s + 4*s + 6, s + n + 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/74934349 and -16\/567360071.\nAnswer: 3971520497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 4)*(2*s**2 - 1 + 1) - 2*s + s**2 + 2*s - s + s - 5*s**2 - 14 - 3*s**2 + 14.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -18 + (-22)\/11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:34 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 8*q. Let r(w) = -w**2 + w. Let y(n) = n**3 + 51*n**2 + 13*n + 662. Let b be y(-51). Determine b*s(c) + 10*r(c).\nAnswer: -8*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**5\/20 + 5*x**4\/12 - x**3\/3 + 2*x**2 + 2423*x. Determine y(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 9 = -5*j - 34, 2*u - 4 = -4*j. Let p be 159003 - 0 - ((j - -4) + 0). What is p rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13877, 13868, 13859, 13850?\n\"Answer: -9*i + 13886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-630*q - 329*q - 65*q)*(2 + 5 - 4) in the form n + h*q and give h.\nAnswer: -3072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 7:22 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2*sqrt(64)\/sqrt(4) - sqrt(16))\/(sqrt(8) + sqrt(648)*2) + 5 + 5*2*(-2*sqrt(16))\/sqrt(8))**2.\nAnswer: -3860*sqrt(2)\/19 + 307017\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4 - 16*c - 5 - 1. Is g(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 23*m + 174. Give s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4166, 4174, 4184, 4196?\nAnswer: 4210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 1:49 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - 75. Let l = y + 80.8. Which is greater: l or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(6\/46)*(-4)\/2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/((j*j**10)\/j))\/(j*j**(-2\/5))**7 assuming j is positive.\nAnswer: j**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -126761, -126750, -126739, -126728?\n\"Answer: 11*a - 126772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1319*m**2 - 1319*m**2 + 2638*m**2 + 38*m**3 - 4*m**3.\nAnswer: 34*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 2\/9, 0.046 in ascending order.\nAnswer: -38, 0.046, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**2. Let s(f) = 6*f**2 - 10*f**2 - 14*f**2. Calculate w(s(j)).\nAnswer: -2268*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5041*w**4\/3 + 10366*w**3\/3 + 1871*w**2 + 292*w\/3 + 4\/3 = 0.\nAnswer: -1, -2\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53853453?\nAnswer: 3, 1951, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 y when four letters picked without replacement from {y: 5, h: 9}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18874, -18883, -18896, -18913?\nAnswer: -18934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:07 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 63, 60, 55, 48, 39, 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**4\/12 + d**2\/2 - 8*d. Let a(k) = 5*k**2 + 11*k + 5. Let h(x) = a(x) - 5*b(x). Find the second derivative of h(u) wrt u.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15056629 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 7. Let f be p(-7). Suppose 40 = -f*g + 4*g. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*a + 11 = 0, 2*k + 2*a = 6*a + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13978 + 14176. Suppose 25 = 4*y + 65. Let g be (-4)\/y + 88\/5. What is the greatest common factor of g and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 5*w**8\/1344 - w**7\/105 - w**6\/120 + w**5\/24 - w**4\/96 - w**3\/12 + 8*w**2. Factor l(q).\nAnswer: (q - 1)**3*(q + 1)*(5*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, 64 in ascending order.\nAnswer: -3, 24, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -172, -257, -342, -427, -512?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93335529 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - y - 69. What is g(0)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5514712367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121*h**2 + 581*h**5 - 584*h**4 + 1167*h**4 - 583*h**4 + 99*h**2 wrt h?\nAnswer: 34860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 26*w**2 - 2*w. Let x be n(1). Suppose 2*d = -3*f + 7 + x, 4*f = 3*d - 38. Suppose -18 = -d*y + 11*y. Calculate the remainder when 6 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = -0 + 50. Let d be (20\/(-14))\/(2\/(-14)). Solve d = -0*r + s*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 68. Let s be 17592\/o - (-1)\/4. What is s rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*p - 2*p = -13, 5*h = 3*p. Suppose -h*r = -o + 6*o - 9, -9 = o - 3*r. Suppose o = -c - 3*c. Solve 5*s - 3*a + 2 = c, -s - 3*a = 3*s - 20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4 - -83)*-3)\/((-12)\/(-56)). Let k = u + 1108. Suppose -x = -0*x. Solve 0 = k*r - x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 + 11. Suppose -29*z + 24*z + 30 = 0, -4*n = -2*z + 28. Let d(l) = 1. Determine n*d(o) + s(o).\nAnswer: 4*o**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + y**2 - 2*y**2 + (483 - 480 + 3*y - 12*y)*(-3*y + 4*y - 3*y).\nAnswer: 19*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-17871)\/119140)\/(78*3\/48)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y**2 + 0*y)*(-4 + 0 + 1)*(-3 - 2 + 2).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-278)\/(-18) - 136\/306) + (-29841)\/2001\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -11, 3, 17?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 912 * 0.1492.\nAnswer: 136.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 - -147. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (1 + -4) - (-180 + 185)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 536692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 - (218 + -207)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3179.2505 to the nearest 10.\nAnswer: -3180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/12 + h**3\/6 - 4*h**2. What is the derivative of u(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18806077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -59926 divided by 3?\nAnswer: -59926\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 332*d. Let s be b(1). List the prime factors of 15\/(-3) + 2 + s.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**6\/6 - f**3\/3 - 9*f**2\/2 + 2*f + 40. What is the second derivative of g(k) wrt k?\nAnswer: 20*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 19, 42, 85, 154, 255, 394, 577?\n\"Answer: y**3 + y**2 - y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - c + c + 46*c + 46*c - 87*c + (-2*c + 4 - 4)*(0 - 3 + 1) + 4*c - 5*c + 3*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -20. Suppose h*t = 2*t - 154. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1139 or 3416\/3?\nAnswer: 1139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 494191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aooftbabfzzafbbfo. What is prob of sequence ot?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + (13 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/4 - 1)*4. Let k(j) = 12*j + 25*j**2 + 7 + 31*j**2 - 81*j**2 + 26*j**2. Let o be k(r). What is the highest common divisor of 30 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(12\/(-52)) + (-2 - -7). Suppose -13*j + c*j - p = 3147, -5*p - 1268 = -2*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1153 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2176 = -5*i + 2176 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -18*a**3 + 15*a. Let i(s) = -9*s**3 + 8*s. Let v(l) = -3*f(l) + 5*i(l). What is the second derivative of v(y) wrt y?\nAnswer: 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + g + 3*g)*(4*g - 3*g + 0*g) - 727*g**2 + 711*g**2 + 4 - 1 to t + k*g**2 + m*g and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.06733872 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**3 - 120*h + 1 - 5*h**2 + 58*h + 60*h in the form p*h**3 + z*h + w*h**2 + l and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, k: 7, s: 3, g: 4, p: 2}. What is prob of sequence spbp?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, s: 1, b: 1, v: 2, w: 1, g: 1}. What is prob of picking 1 v and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 1. Let l = 1386 + -1376. What is the remainder when l is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b - b + 2*b)*(0*b**2 - 4*b**2 - 2*b**2) - 5*b**2 + 7*b**3 + 5*b**2)*(b**2 + 2*b**2 - 2*b**2) + 1 - 1 - 3*b**5.\nAnswer: 16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*c + 11 - 35 = 0, -18 = t + 2*c for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Suppose 6 = 5*w - 5*x + 1, -w + 1 = -3*x. Let s be w\/(-5)*10\/(-8). What is the closest to s in n, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-154)\/(-44)*(-333)\/(-21))\/((-15)\/(-10)))\/1\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64, 129, 194?\n\"Answer: 65*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 0. Let n = -13 + 11. Let y = n - -2.3. Which is the second smallest value? (a) q (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 440, 900, 1358, 1814, 2268, 2720?\nAnswer: 3170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1503*u**2 + 53*u + 15?\nAnswer: -3006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15340 - -15?\nAnswer: -15322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + p = 7*l + 5, -4*l = -4*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 2. Let i(n) = 5*n - 2. Let t(l) = -3*b(l) + 3*i(l). Let m(z) = -81*z**2. What is t(m(a))?\nAnswer: -243*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -1.9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56164 and 18?\nAnswer: 505476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 38247?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110393 to the power of 1\/2, to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1))\/(g**(5\/2)*g))\/(g**(-3)\/(g**42*g*g)) assuming g is positive.\nAnswer: g**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 6*f - 4. Let r be m(-1). Solve 6 + 0 = -2*j - 5*n, -r*j = n + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3849, -7699, -11549?\n\"Answer: -3850*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*3*2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/35006 and -97\/133936?\nAnswer: 3080528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23906942?\nAnswer: 2, 11953471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/(-18) + -4)*3. Let p(r) = -2*r + 7. Let u(k) = -k + 4. Let x(s) = 3*p(s) - 7*u(s). Let v(c) = -2*c + 15. What is q*v(o) - 5*x(o)?\nAnswer: -o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b - b**3 - 7*b**2 - 37*b - 41*b + 17*b + 3*b**2 to f + l*b + z*b**2 + t*b**3 and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 52. Determine c, given that -3*c**2 - c**3 - 3*c**2 - 6*c**2 - 3*c**s = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6272)\/(-3920)*(-1)\/(-8)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.1, 40, 3\/2, -0.4, -0.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10044 and 75516?\nAnswer: 2038932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:52 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**3 - 24*c**3 + 5*c**3 + 20*c**3 + 5. Let h(u) = u**3 + 1. Let n(x) = -6*x**2 + 2*x - 1. Let j be n(1). Determine j*h(l) + y(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1 = v, 2*x = 5*v - 5 - 0. Suppose x = b + b - 40. What is the units digit of b\/16 - 3\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 195754.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 1. Let j(u) = 5*u**2 + 3*u + 7. Let r(w) = j(w) + 6*o(w). What is the units digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 978113 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 7*q**2 + 63*q + 7. Give u(-11).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 44\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**3 + 15*h**2 - 9*h - 27 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**3 + 3*y**2 + 117907. Is h(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 7*z + 16*z)*(-3 + 1 + 3)*(-4 + 6 + 0) - z - 2*z + 2*z.\nAnswer: 57*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*w = 244 - 68, -4*c + 228 = 4*w. Solve -c*q + 63*q - 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11058077\/2 (b) 3\/8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 38*b - 123.\nAnswer: (b - 41)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31*f - 44*f - 38*f)*(-2*f + 0*f + 0*f) + 3 - 3 - 2*f**2 + 6 - 5*f**2 + 0*f**2 + 3*f**2 in the form y*f**2 + q*f + x and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-2*y + y - 4*y)*(-y**3 + y**3 + y**3).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3238*x**3 - 2297 wrt x?\nAnswer: -9714*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 4*d**2 + 7*d - 8. Let n be r(4). Let l = 15 - 26. Let j = n - l. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2162.182nm?\nAnswer: 0.000000002162182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -100100011?\nAnswer: 100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 less than -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5 = 1. Let g = x + 10. What is the highest common divisor of 84 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**3 + 29*g**2 + 81*g - 11170.\nAnswer: -12*g**2 + 58*g + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*n = -2*n + 4, -2*n = -2. Let k(z) = -z. Let c(a) = a**3 - a**2 + a - 3. Let v(i) = -c(i) - 2*k(i). Determine v(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q - 21. Let d(u) = u**2 - 3*u + 4. Let g be d(q). Suppose -2 + g = 3*a. Calculate the greatest common divisor of a and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(3\/2))**31*t\/((t*(t**(-7\/2)\/t)\/t*t*t)\/t)*(t**(-14)\/t)\/t*t assuming t is positive.\nAnswer: t**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.42868ml in litres?\nAnswer: 0.04942868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 968\/(-605)*1\/(-8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeeb. What is prob of sequence ea?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -283, 4\/5, -818, 10\/3.\nAnswer: -818, -283, 4\/5, 3, 10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g + 0*g - 4)*(3*g**2 + g**2 - g**2)*(-50*g + 14*g - 204*g).\nAnswer: -720*g**4 + 2880*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -101*r + 99. Let a be s(-14). Suppose 3*u + 2076 = 4*v, 3*v + 5*u - 73 - a = 0. What is the greatest common divisor of 36 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 17528.\nAnswer: 17532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 7:26 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((s**4\/s)\/s*s)\/s*s)\/s)\/(s\/(((s**(-15)\/s*s)\/s)\/s)*s))\/(s\/(s*s\/(s**(-7)*s*s)))**(-1\/6))**(-3\/10) assuming s is positive.\nAnswer: s**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 349*i - 712. Calculate k(89).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27\/5)\/(53\/265). Let i = -14 + 11. Let o = i + k. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15468, -21120, -36458, -66324, -115560, -189008, -291510?\n\"Answer: -807*o**3 - o**2 - 14660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326\/(-68)*28\/(-1456)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 45540, 44058, 42576, 41094, 39612, 38130?\n\"Answer: -1482*m + 47022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 at least as big as -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 443, 847, 1251?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -501 and -85.\nAnswer: 42585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 12:47 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 3761758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, h: 2, q: 5, w: 3}. What is prob of picking 1 q and 3 m?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00386 to 4 decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1348 - 1258. Let w(f) = -9*f - 37. Let n be w(-14). Is n at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 7*k**3\/3 + 7*k**2\/2 + 4*k + 971. Give t(-4).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10955 or -10960?\nAnswer: -10960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(5) + -1 + sqrt(5) + (sqrt(120)\/sqrt(3))\/sqrt(8)))**2 - sqrt(200)\/sqrt(40)*2.\nAnswer: 4*sqrt(5) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 659685, 1319064, 1978431, 2637780, 3297105, 3956400?\nAnswer: 4615659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -338\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 12) to base 5\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m + 16 = 0. Solve -2*k = m + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3382, -27535, -93090, -220747, -431206?\nAnswer: -745167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -18 - 42. Let j = -9 + k. Let b = j - 4. Solve y - 3*y = -b*s - 14, -2*s = 3*y - 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3434c0 (base 14) in base 8?\nAnswer: -6615300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (90\/9 + -10)\/(-7). Solve -3*o + 5*d - 25 = w, -11*o + 4*d = -13*o - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 17. What is the remainder when (6\/i)\/(2\/(-14)) is divided by 2\/7 - (-38)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 26. Suppose w = -2*v - 2*v + 5*b - 10, 2*v - 5*b + 10 = 0. Solve v = 4*k + 7 + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 260575?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.054+-217249.342537\nAnswer: -217249.396537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*n + 304 + 996, -2*n = 2*k - 1310. Suppose 2*b + 202 = f + 70, -n = -5*f + 2*b. Suppose -80*i + f = -77*i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865285467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 114855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1890 = z - 1911. Put z, -14, -1 in descending order.\nAnswer: z, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*z - 54, 2*v - 17 = -2*z + 1. Let h = v + -7. Let f be ((0 - 4)*-1)\/1. Solve -h*t - f = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 8:39 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 26 = 4*z, q + q = z - 1. Suppose -6 = -i - q. Solve -i*k = -9 - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2)*-3)**2 - (2 + -1*sqrt(2)).\nAnswer: -5*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, 7, -1, -5 in increasing order.\nAnswer: -5, -1, 2, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -26791 bigger than -26792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667*d = 665*d - 2. Let t(s) = -159*s**2 + 9*s - 6. Let b(z) = z**2 - z + 1. Let q(o) = d*t(o) - 4*b(o). Find the second derivative of q(u) wrt u.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 40\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52820631.\nAnswer: 3, 5868959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-11)\/((-7)\/(119\/153))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 9:45 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 5*h + 3. Let w be l(5). Let g = 33.96 + -34. Let m = g + 0.84. Which is the second smallest value? (a) w (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k. Let f(u) = -12960183*u**2. Give f(b(t)).\nAnswer: -116641647*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 6*p**2 - 7*p - 1. Let g = -4 - -11. Let j be n(g). Let v = 2 - j. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*a**3\/13 - 2782564*a**2\/13 + 87985053120*a\/13 - 15997190400\/13.\nAnswer: 2*(a - 63240)**2*(11*a - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 2)*20902\/42 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -28, 4, 9 in descending order.\nAnswer: 9, 4, 0, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 237 + 236 + 28213*l**4 - 25257*l**4 to r*l**4 + o*l + p + b*l**3 + n*l**2 and give r.\nAnswer: 2956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 50 = -45*t + 26*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2659653046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 2*m + 2. Let n be j(-1). Let l be (16\/(-12))\/(3\/(-45)). Sort -5, n, l in decreasing order.\nAnswer: l, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*z)*(892*z + 6*z**2 + 2 - 1366*z - 2) as h + d*z + a*z**2 + s*z**3 and give a.\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwf when three letters picked without replacement from {b: 2, w: 1, k: 1, f: 5, y: 9}.\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/453630 and 67\/3.\nAnswer: 453630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyuuuuuuyuuuuuu. Give prob of sequence yuu.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-7) - 8 - 6*(27\/(-18) - 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -8753554.\nAnswer: -1750710.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = a + 18, 5*v - 11 = 4*a. Let p(l) = -5. Let t(c) = -c + 1. Let z(d) = p(d) + 5*t(d). Let u be z(2). Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 3*z**2 - 5*z. Let g be p(7). What are the prime factors of g\/(-10) - (-1)\/2?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 28617*z - 2003186. Give j(70).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8897, -18692, -29385, -40976, -53465?\nAnswer: -66852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (285*c**2 - 1047*c**2 + 387*c**2 - 2*c + 2*c - c**2 + (-2*c**2 + 0 + 0)*(-1 + 1 + 2) + 5*c**2 - 2*c**2 - 4*c**2)*(-6 + 2*c + 6).\nAnswer: -762*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*q - 35*q + 108. Suppose -n = 2*p - 7*p + 9, 2 = 2*n. Let g(v) = -p*v**q - 29 + 63 - 34. Let c(a) = -a**2. What is g(c(l))?\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 533, 1442, 2955, 5072, 7793, 11118, 15047?\nAnswer: 19580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416816000 rounded to the nearest one million?\nAnswer: 1417000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39 and -56003.\nAnswer: -2184117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750 = 1718*p - 2438 - 248 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {c: 3, z: 1, p: 1, x: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(4784\/(-1404)) - 1*-10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, g: 2, y: 2}. Give prob of picking 1 y, 1 z, and 2 g.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -4*s + 8, 2*s = 5*c - 8 + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6 and 19\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3432 - -6251. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 320 + -196. Let y(o) = k - 124 + 19*o**2. Let b(v) = -2*v**2. What is y(b(g))?\nAnswer: 76*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(4*l**4 + l**4 - 3*l**4) + (-l**2 + 0*l**2 - l**2)*(-l**2 + 0*l**2 + 0*l**2).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6967, 7295, 7623?\n\"Answer: 328*v + 6639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**4\/4 + 4*u**3\/3 - u**2\/2 - u + 1. What is the units digit of b(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 480 + -3?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeeyeeeeyy. What is prob of sequence eey?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 4:14 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34, 39, 56, 91, 150?\n\"Answer: x**3 - 2*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1708*v**3 - 2123*v**3 + 578*v**3 - 1557*v**3 + 1151*v**3.\nAnswer: -3659*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520297 is divided by 4861.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -0.09347697?\nAnswer: 0.40652303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93402134?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10010110101000101101011?\nAnswer: -10010110101000101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 8. Let s be o(-4). Let b(k) = -k + 9. What is the tens digit of b(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29870100 divided by -276.\nAnswer: 108225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 21. Let i(s) = -5*s + 12*s - 11*s - h*s. Let u(b) = 4*b. What is u(i(g))?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.98 and 2?\nAnswer: 23.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/sqrt(3))\/sqrt(7)*1 + sqrt(15)\/((sqrt(90)\/sqrt(3))\/sqrt(6)))**2*-6.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10248.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 96*i + 7417. Give k(-77).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s - 45. Let c be h(-13). Suppose 65 = -c*i + 58. Is i not equal to -1\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -42.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2058*o + 91. Is z(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-6\/5)\/t*t\/t**(-18)*t assuming t is positive.\nAnswer: t**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**6\/120 + 7*j**5\/60 + j**3\/3 - 9*j**2 + 9*j. Let n(y) be the first derivative of k(y). What is n(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.272 - -0.24. Round b to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 1, u: 14, q: 2}. What is prob of picking 1 q and 1 k?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028253 rounded to 7 dps?\nAnswer: -0.0000283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.783322ml?\nAnswer: 0.006783322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.3 and 1019.\nAnswer: -17628.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 110, 167, 240, 335, 458, 615?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-1456*s + 33*s**3 + 68*s**3 + 1459*s) + (s**3 + s**3 + 0*s**3)*(-1 - 3 + 5).\nAnswer: 204*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9)*-1) + 5 + sqrt(26)\/sqrt(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -38 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 3 = -5*l + 2*n, 2*n - 10 = 0. Let v(k) = k**2 + 3*k - 5. Let y be v(l). Solve 4*a + 8 = -z, -y*a + 7*z - 3*z - 31 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323824481?\nAnswer: 31, 37, 103, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 0 - 6*b**2 + 4\/3*b = 0?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4484 = 5*f - 2421, 5*f - 6905 = -4*s. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/o**(-3\/5)*(o*(o*o**(7\/5)\/o)\/o*o)\/o**(-4))\/(o**(3\/7)*o\/o**4*(o\/(o*o**(-3\/2))*o)\/o**(2\/9)) assuming o is positive.\nAnswer: o**(1423\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2816*g + 745 with respect to g.\nAnswer: -2816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039762 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 2 = 4*i - 3*g, 2*i + 8 = 2*g. Let h(o) = 26*o + 2. List the prime factors of h(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y - 11*y - 1 - 2*y**2 - 2*y**2 + 0 + 5*y**2. Let v(f) = 5*f**2 - 6*f - 7. Determine -v(g) + 6*z(g).\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8701*n - 69616. Give l(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388157074.\nAnswer: 2, 194078537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, -1, -3, 3, 0.1, 0.5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 71 = -13*c - 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, k: 6, x: 4, l: 1}. What is prob of picking 1 a, 1 l, and 2 x?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -38. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138237 or -8.09?\nAnswer: -138237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*s = -2*s - 24, 3*s = 4*b - 18. Suppose 3*w = -2*w + 90. Solve -3*u + b*q = -q - 13, 5*u = -2*q + w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrhzwzmzzfwh. What is prob of sequence hwmw?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 637920575 divided by 5?\nAnswer: 127584115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.36. Let b = 0.04 + v. Let f = 0.3 - 0.6. What is the closest to f in -1, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78173 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n - n)*(-22 - 14534*n + 7287*n + 7285*n).\nAnswer: 38*n**2 - 22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0555 + 0.1555. Let a = -12 + 8. What is the nearest to n in 1, -5, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -5. Suppose m - 2*j = 21, -m + j - y = 4*j. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 4*s - 1. Let w be p(-3). Let t(y) = 4*y**w + 6*y - 2 + 5 + 1. Does 17 divide t(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3915071714\nAnswer: -3915071712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -5*n + 157 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 14*f**2 - 232*f - 2633. Determine h(-11).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 2. Let s = g - -22. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 872385031 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 - n**3 + n**4)*((0*n + 3*n + 0*n)*((3 - 1 - 3)*(7 - 4 - 2) - 7 - 7 + 47) - 4*n - 3*n + 2*n).\nAnswer: 91*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, -0.54, 2.4?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**2 + 4. Let j(n) = 4*n - 40. Let q be j(7). Let r(t) = -5*t**2 + 8. Let x(a) = -a**2 + 2. Let d(g) = q*x(g) + 3*r(g). What is d(p(z))?\nAnswer: -108*z**4 + 144*z**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*l + l - 3*l)*(4 - 4 - 2) - l - l + 5*l)*(-96*l + 96*l - 5*l**2) to the form k*l + r*l**2 + j + u*l**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 t when four letters picked without replacement from ttttetttte?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((-1365)\/624*-2*(-36)\/(-15))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -157\/8 + 1967\/120. Let x be 2*(-2 - (-351)\/132). Let k = x + -791\/66. What is the common denominator of k and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1821 - -9102\/5. What is the closest to -2\/3 in 1, -4\/17, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1754, -6774, -15132, -26822, -41838, -60174?\nAnswer: -81824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 42, 33, -10, -99, -246?\n\"Answer: -2*x**3 + x**2 + 24*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552491091 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -685 + 1382. Suppose -2*f + 5*o = 14, 0 = 4*f - 3*o + o - 4. Suppose -422 = f*c + 2*y, -6*c + c + 3*y - i = 0. Round c to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.42 + 0.99. Round y to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/13 - 14*g**2\/13 - 32*g\/13 - 24\/13 = 0. What is g?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:30 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*n - 4*n + 2349, -11745 = 5*n + 3*b. Let a = n - -3376. Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320032320 (base 4) to base 12.\nAnswer: -b1360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvlllllhvlvvlvvl. Give prob of sequence ll.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p - 20 = 0. Let d(w) = -7*w - 40*w**2 + w**3 - 46*w**2 + 82*w**2. What is d(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55617 is divided by 54523?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -110332, -220583, -330818, -441031, -551216, -661367?\n\"Answer: b**3 + 2*b**2 - 110264*b - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92180.\nAnswer: 2, 5, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(68)*5)**2).\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 6705?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 353 - 287. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477245.\nAnswer: 3, 5, 7, 11, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = k - z + 3*z, -k = z - 98. Suppose o - j - k = 0, -o - 2*j + 104 = -5*j. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122994044 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -35. Let z be 120\/s + 1\/5. Suppose z*p + 3*l - 105 = 0, -24 + 87 = 3*p + 2*l. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -604, -1123, -1554, -1891, -2128, -2259, -2278?\n\"Answer: k**3 + 38*k**2 - 640*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 894.04 + -914. Let y = 0.04 - l. Is y less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86700000 rounded to the nearest 1000000?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*s = 4, 693*k = 689*k - 30*s - 72 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 984362452 to the power of 1\/2, to the nearest integer?\nAnswer: 31375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -0*u + 4*u - 3*g, u + 12 = -3*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5, 25, 71, 155, 289, 485?\n\"Answer: 2*w**3 + w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228146.\nAnswer: 2, 114073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-3468696\nAnswer: 1734348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53, -89, -137, -191, -245?\n\"Answer: l**3 - 12*l**2 - 7*l - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 + 3. Let t = 0.0422 - 4.0422. What is the closest to d in 2\/25, t, -2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v + 296*v + 269 = 70*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - r + 6 + 10)*(-2 - 3 + 4) to d + c*r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 3:40 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6200096029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250541?\nAnswer: 3, 41, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 38.3, -2, 0.7, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 19 = 3*o - i, 0 = -2*o + i - 2. Let q(z) = -z. Let m(d) = -d - d - 2*d**3 + 1 + 3*d**3 + 0*d**3. Calculate o*m(f) - 2*q(f).\nAnswer: f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 385365*z**5 + z**4 + 37*z**3 - 2*z**2 - 5341*z + 2271.\nAnswer: 23121900*z**2 + 24*z + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60733620 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9551 + -45?\nAnswer: -9596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 16, 11*p = 10*p + 2*n - 12. Let o = -0.98 - 0.02. Which is the nearest to o? (a) -3 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6955088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 73 = -4*w. Suppose -5*j + 73 = 5*z - 2, -5*j + w = -2*z. Differentiate -j*k**2 + 4*k**2 + 8 - 13*k**3 + 6*k**2 with respect to k.\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - -0.4. Let z = -34 + 33.66. Let o = 0.34 + z. Which is the closest to i? (a) -1 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 18, 5, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 860360.6 years in decades?\nAnswer: 86036.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 461502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*m**3 + 51*m**3 + 568*m**4 - 393*m**4 + (3*m**2 - m**3 - 3*m**2)*(-5 + 5 - 2*m) to the form r*m + q*m**3 + s + h*m**2 + w*m**4 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12047 and 2023.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106706 + 106706 + 550614*l**2.\nAnswer: 550614*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252904708?\nAnswer: 2, 7, 29, 293, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 - 98. Let s(h) = -h + 9. Let k(w) = 5. Let b(j) = -7*k(j) + 4*s(j). Let c(a) = 5*a - 1. Give d*c(o) - 4*b(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-20)*105\/6 - (2 - 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10056*n**2 + 368*n + 367. What are the prime factors of w(-1)?\nAnswer: 5, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 2)*(-3*j + 4*j - 3*j)*(2*j + 2*j + 2*j) in the form r + s*j + a*j**2 and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o - 6. What is l(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 0, -0.3, 5 in increasing order.\nAnswer: -35, -0.3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -277*l - 8124. What is p(-29)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**3 - 2 + 0*z - 5\/2*z**2. Let q = -3 - 1. Let m(u) = 2*u**2 + 4*u. Calculate q*l(h) - 5*m(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c. Let j(l) = -25*l**2 - 11*l - 4. What is j(d(y))?\nAnswer: -2025*y**2 + 99*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, v: 1, k: 2}. Give prob of picking 1 k and 2 d.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svpv when four letters picked without replacement from {v: 9, s: 4, p: 4}?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212120001200 (base 3) in base 7?\nAnswer: -11313153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 25303 = 45*d - 1697. Calculate the smallest common multiple of d and 6.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 d when four letters picked without replacement from mmmmmddmmm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 7. Let h be r(6). Suppose -3*d + 19 - 2 = -h*x, -4 = -d. Let s be -3 + 12 + -2 + x. What is the highest common factor of 54 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/5))**9)**(-1\/27)*(z**(-2\/5)*(z**(-2)\/z)\/z*z)\/(z**(-1)*z*z\/(z\/z**(6\/7))*z) assuming z is positive.\nAnswer: z**(-538\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 5, s: 4}. Give prob of picking 1 i and 1 s.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.3295 rounded to 1 decimal place?\nAnswer: 11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or -4\/159453?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/24 and -83\/45018.\nAnswer: 180072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/6*120\/1280\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5219 - -12577?\nAnswer: 17794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 1\/7 (b) -0.5 (c) -2\/7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52876.36 days to milliseconds.\nAnswer: 4568517504000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g - g**3 - 3*g**2 + 11*g**3 + 5*g**2 + 42*g.\nAnswer: 10*g**3 + 2*g**2 + 60*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 324964795, 324964792, 324964789, 324964786, 324964783?\n\"Answer: -3*r + 324964798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 15*j**2 - j + 7. Determine c(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44686068611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -215654, -217367, -219080, -220793, -222506, -224219?\n\"Answer: -1713*g - 213941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37 + 4143353.\nAnswer: 4143352.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 34, 48, 60, 70?\n\"Answer: -l**2 + 19*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23634728 + 23634840.00001. Let m = -112 + p. Round m to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528070129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -349\/22 - -31\/2. Let n = -24 - -24. Suppose -2*f - 3 + 1 = n. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0279908 - -0.028. Round f to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 10. Suppose -3*y + 8*y = x. Suppose 3*p - l = 35, p - 4*p - 3*l + 39 = y. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 81*b - 16. What is w(-1)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132205322?\nAnswer: 2, 66102661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -65, 4 in ascending order.\nAnswer: -65, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -5, 3\/4, -1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1598*t**2 + 7282 wrt t?\nAnswer: 3196*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyytyyyytyybbtyytty. Give prob of picking 1 b and 3 y.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 102 = -l - 110, 5*l + 2*p = 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-21)*-3*(-8)\/18. Which is the smallest value? (a) -4 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5190560129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 11504.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1594*v = 1548*v - 368 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 9, l: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from {n: 1, d: 5, e: 7, j: 1}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**2 + 80 - 80.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3553607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26668758 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 3245690.\nAnswer: -110353460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/23 or 1?\nAnswer: 18\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.85 + -2. Let d = 1.05 - a. Let q = d - 0.25. What is q rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.02. Let h = -0.03 - 0.015. Let c = h - g. What is c rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h + 8. Let x(b) = 4*b - 3. Calculate -3*d(l) - 8*x(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -563 - 132?\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -86. Let x = -19 + m. Sort x, 1, -12 in descending order.\nAnswer: x, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or -5\/57?\nAnswer: -5\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242268 (base 9) in base 2?\nAnswer: 100100111001001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 - 2618*u**3 + 139 + 2629*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-36)*b*b**(30\/13) assuming b is positive.\nAnswer: b**(-425\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-1)\/((-207)\/(4 - 27))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -669 - -13?\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 39. What is the highest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -14865?\nAnswer: -2\/14865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45049692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 90*k + 2 + 4 - 150*k to the form y + p*k and give p.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106754 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -7)*-1 - (-36 + 13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*u + r + 53, -960*u + 953*u + 28 + 40 = -3*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.48 and -189480?\nAnswer: -90950.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 10*b - 24. Let n be f(12). Let u be 3 + -1 + (1 - 0). Solve -u*s = -2*s + c + 6, 3*s + 2*c + 15 = n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + 1120211210?\nAnswer: 1120212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*(-5 - -3 - 155\/(-25)). Suppose -16*c + u = -49. Solve -5*k - 31 = 4*s - c*s, 3*k + 11 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 199*l**5\/20 + 10*l**4\/3 + 3*l**2\/2 + 3*l + 18. Find the third derivative of q(c) wrt c.\nAnswer: 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02261 + 0.0236291. What is p rounded to five decimal places?\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/26 + 1 + 264\/(-143). Which is smaller: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**3 + 2*y**2 - y. Suppose 0 = 2*c - 3*c. Let i(x) = x - 4. Let p be i(c). Let d be ((-1)\/p)\/((-3)\/(-12)). What is r(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 7*h**2 + 7*h - 12. Calculate i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n**5 - 2209*n**4 - 21027*n**3 - 38323*n**2 - 22456*n - 2940 = 0. What is n?\nAnswer: -7, -1, -2\/11, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 847*g**3 + 77*g - 32.\nAnswer: 5082*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**4\/8 - q**3\/6 - 2*q**2. Suppose -2*v = -l - 3, -3*l - 9 = 3*v - 0. Determine f(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4\/(24\/30)*2\/8)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-49 - (-46 - -38))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179911494 divided by -6.\nAnswer: 29985249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 107*p**5 - 4452*p - 3351*p**2 + 4452*p - p**3 + 2*p**6 + 964*p**5 wrt p?\nAnswer: 240*p**3 + 64260*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**2 + 10*w**2 - 4*w - 15*w**2.\nAnswer: -28*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k**3 - 3*k**2 + k. Let y be w(2). What is the common denominator of ((-385)\/y)\/(1\/(-3)) and -45\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11091735 and 6375.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 8) to base 7\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243) + -1*sqrt(243) + sqrt(243) + -2*(sqrt(108) + -1*sqrt(108)) + -5)**2.\nAnswer: -108*sqrt(3) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -320 - -324. Suppose 16*r = z*r + 276. What is the remainder when 2\/7 - 878\/(-14) is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - 6*s + 3. Let a be u(2). Let r(t) = t**3 - 2*t**2 - 1. Let o be r(a). Let m = o - -16. What is the remainder when 119 is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 660 divide 3107924820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 5:39 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 34084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/63)\/((-8)\/42).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.01 + 0.01. Let g = f + 8. Let r = g + -6.00000042. What is r rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 18. Let n = -465 - -375. Let u be (-2)\/(-6*(-6)\/n). Calculate v(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2785599141.\nAnswer: 3, 13, 17, 547, 7681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2027 and 555734482?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3449, -3451, -3453, -3455, -3457?\nAnswer: -3459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 3)*(-42*k - 34 + 61*k - 27*k)*(5 - 4 + 0)*(-3 + 4 - 3) to the form f + d*k and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10681+-5\nAnswer: -10686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1179 divided by 3.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 688251 or 688259?\nAnswer: 688259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10101111?\nAnswer: 10110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 2) in base 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 491400 to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 18*l - 19 = 13*l, 5 = 5*j - 5*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3518 divided by -81.\nAnswer: -3518\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 631.023939 milliseconds?\nAnswer: 0.0000010433596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from tuuhthbhuuh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from lllklllkllkklklllk.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3144455 divided by 3144455\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -52 and 298227885.021.\nAnswer: 298227833.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553555 is divided by 129.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 8, t: 6}. What is prob of picking 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 29. Determine f, given that -2\/3*f**4 - 2\/3 + 0*f + 4\/3*f**2 + y*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5204?\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.662 - -0.313. Let q = p + -0.151. Put -5, -0.3, q, 0.1 in increasing order.\nAnswer: -5, q, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -111\/824?\nAnswer: -111\/824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(5225\/798) + 6*(-2)\/20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/276 - 181\/828. Let l = -11175 - -78223\/7. What is the closest to l in a, -4, -2.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 28 = 2*b, 0 = -2*s - 2*s + 20. Let y be (2\/3)\/(b\/(-18)). Solve -y*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35287 and 54173.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25410\/46585*(-1386)\/(-12).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -f**3\/3 - 8*f**2 + 15*f + 68. What is d(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117887 to the power of 1\/2, to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128979 is divided by 150?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3598 divided by 14\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**4 - 78*q**3 + 584*q**2. Let m(n) = 7*n**4 + 157*n**3 - 1169*n**2. Let c(j) = -9*h(j) - 4*m(j). What is the third derivative of c(k) wrt k?\nAnswer: -24*k + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12697*c**3 - 20*c**2 + 3281*c + 21?\nAnswer: -76182*c - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 10:04 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516632 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 10 = -4*p, -4*s + 10 = s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 17796*h**2 - 429*h - 859. What are the prime factors of j(-2)?\nAnswer: 7, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 375 or 3757\/10?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7610693.\nAnswer: 7610693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7299 - 204405\/28. Let t be (67\/(-85))\/(60\/(-75)). Let q = t + -3015\/748. What is the common denominator of q and m?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -151.\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/200 and -103\/220.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*y**6 - 5*y**5 - y**4 - 2293*y**2.\nAnswer: 7800*y**3 - 300*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 2*z**5\/5 - 79*z**4\/8 + 52*z**3 + 499*z**2\/4 + 52*z - 7104. Suppose a(x) = 0. Calculate x.\nAnswer: -1, -1\/4, 8, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.191 - -5410.9.\nAnswer: 5412.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*i - 2151*i**2 + 4302*i**2 - 2152*i**2 + 33*i + 21 - 96*i to t + k*i**2 + d*i and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 241268352 divided by -816?\nAnswer: -295672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2640481ml in litres?\nAnswer: 0.0002640481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(153) + -2)*1 - sqrt(153)) + sqrt(153))**2*-3 + -1*(-1*2*sqrt(153) + -2).\nAnswer: -469 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12*l + 15. Let a be y(-5). Let i = -41 - a. Solve 0 = -r - i*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*m**5 - 22*m**2 - 344*m?\nAnswer: 240*m**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 1707?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495 and 21395?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -275 + 180. Let k = f + 94. Let b(u) = -14*u - 1. What is b(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*c - 262*c - 284*c - 142*c - 488*c as j + w*c and give w.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a2 (base 12) in base 7?\nAnswer: -3203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10054 = -5*i - 10069. Let h(b) = 2*b - 2. Let o(s) = 0 - 2 + 2*s - 1. Give i*o(l) + 4*h(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 10. Let c(t) = -4*t - 5. Let o be c(x). Is 7 + -7 - (1 - o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, t: 2, c: 5}. What is prob of picking 2 e and 2 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369488 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 5492648.\nAnswer: 16477944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, b: 1, k: 5, i: 1, q: 1, v: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((((l**(-2)\/l)\/l)\/l)\/l*l))**12*(l**(2\/7)*l)**(-9))**45 assuming l is positive.\nAnswer: l**(22815\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-78)\/(-5))\/((-741)\/(-1235)). Sort j, 52, 3, 1, -2 in decreasing order.\nAnswer: 52, j, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:31 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-33)\/(-22))\/((-252)\/(-80) + -3) and 134.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 21*t + 16*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-10))\/(6\/8). Let y be 20\/(-3)*(v + 1). Find the common denominator of -5\/8 and (-8)\/y*(-455)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100022011202100 (base 3) to base 16\nAnswer: -4b701a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274 a factor of 648090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20, 5, -3, -99, -235 in descending order.\nAnswer: 20, 5, 0, -3, -99, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 66625420 divided by -59170\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1861 - -5956. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n - 101204 = -36*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3216 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19726\/197260 + (-66)\/(-760)*-6.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 + (-132183)\/1938)*(9\/((-63)\/(-2)) - 2).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9202760*g**3 - 6160182*g**2.\nAnswer: -55216560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2948893 to two decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.15828mm in nanometers?\nAnswer: 9158280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5423 - 5405. Calculate the lowest common multiple of 345 and y.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z - 24. Calculate the remainder when s(19) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 - (-5 + 2)\/3. Do -1\/52 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -3.8. Let g = u - 3.2. Let v = 17.5 + -17.3. Which is the closest to v? (a) g (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4604.0266 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:27 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46227953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 5*n + 154 = 0. Let a(h) = -h + 2*h - 2*h - 1732 + 1743. What is a(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {m: 1, s: 1, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106 + 672*r**5 - 164 + 8*r + 63 wrt r?\nAnswer: 13440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j. Let w be x(1). Suppose -5*a + 5*b + 33 = 133, w*a + 3*b + 94 = 0. Find the common denominator of (a\/(-8))\/((-9)\/14) and -39\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29730040 rounded to the nearest 100000?\nAnswer: 29700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 5. Let z = k - 9. Which is the nearest to z? (a) -0.4 (b) 4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -14. Let t be 3*25\/21 + (-12)\/(-28). Suppose -t*m + 149 = 49. Solve m = 4*y + v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.331162 and -2?\nAnswer: -0.662324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (3 - 2 - (-499 - -375))\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -963?\nAnswer: -963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191 - 177. List the prime factors of 2*2\/(-8) + 3997\/s.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*r = -0*g + 2656, r + 1343 = 2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 495, 1522, 3075, 5148, 7735, 10830?\nAnswer: 14427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1152\nAnswer: 1\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-316)\/(-18))\/2 + 23307\/(-459) + 51. Solve -795*u + 804*u = -q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 4*a - 66 + 9*a to b*a + f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7135.0003597 - 7135. Round b to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 greater than -100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33978 divided by -1618.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -395562, -791141, -1186738, -1582353, -1977986, -2373637, -2769306?\n\"Answer: -9*u**2 - 395552*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20060851 to the power of 1\/2, to the nearest integer?\nAnswer: 4479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 + 392. Suppose 3*k = 5*d + 1017, -4*d + 74 - 894 = -4*k. Let z = o + d. What is the greatest common factor of z and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.15 - 6.65. Which is the closest to -1? (a) i (b) -1\/7 (c) 1\/4 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1106\/48 + 1 - (-1038)\/(-24912).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (666\/27)\/37*(-2)\/((-8)\/(-54))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*d - 9028 = -37*d + 96*d for d.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36*9\/36 + -2. Factor 3*b**2 + i*b**5 + 8*b**5 - 16*b**5 + 0*b**4 + 0*b**2 + b**4 + 5*b**3.\nAnswer: -b**2*(b - 3)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/m**4)\/m*m)\/(m\/(m*m**(-3))))**(-3))**(-10) assuming m is positive.\nAnswer: m**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 5*f**2 + 12*f - 8. Let q be x(6). Suppose 4*p = 12, 0 = 8*j - 3*j + p - q. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-4.7.\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382240 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-1 + -3)) + 29 + 24.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 821527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68 - 38 + 6*x**2 + 34 + 12*x + 80 wrt x?\nAnswer: 12*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.458 to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 - 2*a - 20\/3.\nAnswer: 2*(a - 5)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 262*j**2 + 262*j + 250. Calculate g(-130).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/(1\/106). Let c(f) = -f**2 - 8*f - 25. Let p be c(-9). Let v = p + k. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -t - 2*t + 13945, -n + 2789 = t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 7:18 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m + 2. Let s(u) = -9*u - 5. Let n(q) = 3*s(q) + 7*y(q). Let h(z) = 4*z - 7. Determine -h(x) + 5*n(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 180?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a factor of 1252017276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 71. Are 7\/2 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 1336 (c) 0 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -554927\/1050 >= -528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.805 (b) -0.2 (c) -1\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2880 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4 - 43*j**3\/6 - 23*j**2\/3 - 17*j\/6 - 1\/3 = 0.\nAnswer: -2, -1, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5295 and 682?\nAnswer: 5977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-35 + -10 + 17).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + -2.08. Sort -0.02, m, 0.5 in increasing order.\nAnswer: m, -0.02, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 less than 473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/5)*z*z**(-3))\/((z*z\/z**4)\/z*z\/(z*z**6*z*z))*(z**(-5\/4)\/z*z*z\/(z**(-2\/35)*z))\/(z*z**(2\/7)*z)**(-28) assuming z is positive.\nAnswer: z**(10109\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**4\/28 + x**3\/14 + 3*x**2\/7 + 10*x - 4. Let f(l) be the first derivative of q(l). Factor f(d).\nAnswer: -3*(d - 2)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-12))\/(8\/32). Which is the second smallest value? (a) s (b) 0 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -521*n**2 + 17703*n + 271. Give y(34).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/30 + ((-522)\/(-15))\/1.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/22 + 0 + 38152\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 725*j**3\/3 + 173*j**2 - 1143*j. Differentiate d(u) with respect to u.\nAnswer: 1450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 7 + -1 - (-1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -3 + (-12 - -34)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - (-920)\/(-65) - 210\/(-13). Suppose 329 + 119 = n*f. What is the smallest common multiple of f and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 163.8, 3?\nAnswer: 163.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -2. What is the third derivative of 2*p**4 + 2*p**2 - 4*p**4 - 3*p**b wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 - 50. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.06 and -28.4975.\nAnswer: -29.5575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1103 - -1126. Solve -i*s + 11*s + 36 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 + 97. Factor 4\/11*g**2 + 2\/11*g**y - 2\/11*g - 4\/11.\nAnswer: 2*(g - 1)*(g + 1)*(g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3980315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 54540 divided by 5\nAnswer: 10908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = p, 0 = 4*d + 4*p + 275996. What is d rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.431 and -1.37.\nAnswer: -1.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4114, 4\/49, -15 in descending order.\nAnswer: 4\/49, -15, -4114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -522338402 + 1?\nAnswer: -522338401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 18*n**2 - 9*n + 6. Determine d(-3).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 27*j + 28*j + j**2 + 1 - 56*j. Let m(x) = x**2 + 20*x + 21. Let h be m(-19). Let a(o) = 4*o**2 - 3*o + 8. Let l(z) = h*a(z) - 10*w(z). Factor l(p).\nAnswer: -2*(p - 3)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 10\/7, -3, 0.12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - s**3 + 0*s**3 + (4*s - s - 5*s)*(-2*s**2 - 2*s + 2*s) - 666*s + 666*s + 227*s**3.\nAnswer: 233*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (235*142\/(-10011)*6\/(-10))\/((-2)\/116)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5. Let w = -1517743\/23310 - -1\/7770. Let o = -65 - w. Sort 5, o, j.\nAnswer: j, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 86*l - 39*l - 36*l - 12*l + 336 in the form z*l + i and give i.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d - 160 = -30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508229.\nAnswer: 508229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99.8 + -100. Which is the third smallest value? (a) 0.04 (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 182568 - 0) + 0. Let g = -59567 - y. Suppose j + 2*j + g = 0. What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*z - 7*z. Sort z, -2, 5.\nAnswer: z, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/23 + 1312*t**4\/23 - 20622*t**3\/23 + 90992*t**2\/23 - 3104*t - 184320\/23 = 0 for t.\nAnswer: -1, 4, 9, 640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 203589 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*d**3 - 17*d**2 + 3912*d - 14098903.\nAnswer: 75*d**2 - 34*d + 3912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - u + (0 - 3 + 5)*(-2*u + 4*u + 0*u) - 4*u + 0*u + 0*u in the form z*u + m and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {w: 7, e: 1, p: 11}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4\/7 + 72*u**3\/7 + 4*u**2\/7 - 144*u + 1360\/7 = 0 for u.\nAnswer: -17, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 8 - 24. Let o(z) = z + 3. Give o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 13*u**2 + u + 1. Let k = -7 - -20. Let w be y(k). Suppose -3*o + w = -76. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*q = -14, 1 - 12 = -w + 5*q. Suppose 0 = 2302*z - 2301*z - 12. Calculate the smallest common multiple of z and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 1012 + 2900. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53566+-1.007\nAnswer: -53567.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5692 + 1231 = 23*j. Let w = -277 + j. Calculate the lowest common multiple of w and 42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 61. What is the remainder when n(20) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24510 + -1078359\/44. What is the common denominator of c and 43\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233476 - 404*h + 233476.\nAnswer: -404*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -3*r**4\/4 - 8*r - 4. Let v(j) = -2*j**2 + 3*j. Let k(u) = 4*u**2 - 7*u. Let a(p) = 6*k(p) + 14*v(p). Calculate a(s(z)).\nAnswer: -324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - y - 6*y**2 + 9*y - 1. Let s = -646 + 641. Let m(n) = n**2 - n. Let t(a) = s*m(a) - u(a). Calculate t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -n + 1, 3*l + l - 14 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14690 + -8713. Is f a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + y**4 + 6*y**4 - 4*y**4 - y to z*y**2 + q*y**3 + u*y + p*y**4 + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4050.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 475 + 41. Suppose 6*n + c = 2*n. Does 14 divide 3 - ((-2 - -1) + n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 7*h**2 + 12*h - 1. Let a be s(8). Suppose 0 = 2*t - 2*u + a - 241, -213 = -2*t + 3*u. What are the prime factors of t?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (170 + 61 - 48)*(-4 + b + 4).\nAnswer: 183*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -49, -15, -2\/9, -72?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31981*a**4 + 3*a**3 + 13*a**2 - 16*a - 14 wrt a?\nAnswer: 767544*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -18380 and -1543807\/84 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/(2\/57). Suppose -4*m = 5*s - 19, -2*s = s + 15. Let i = 485 - 483. Solve -4*x + 5*n = m, i*x - a = 7*x - n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 413331 or -77?\nAnswer: 413331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 447350 rounded to the nearest 1000?\nAnswer: 447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 0.4 (c) 2\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44096 is divided by 43817.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2 - 16. Suppose 9*m + 3 = -x. Let b = 3\/4 + m. Put 0, 3, b in increasing order.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i**3 + 1. Let c be x(-1). Let u(v) = -5*v**2 + v. Let w be u(1). Let m be (2 + c)*(-3)\/w. Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:38 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(14\/4) + -1. Let j be (c - -1)\/(8\/6). Is j at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**3 - 2*z**3 + 4*z**3 + 24*z - 2*z**2 to the form i + l*z**3 + h*z + a*z**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/2)\/(6\/16). Sort z, -4, 13, 0.\nAnswer: -4, 0, z, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 27. Suppose 0*j - j + 7 = s, 5*j + w = 4*s. Suppose -g - j + 84 = -3*c, g = -3*c + 69. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = -6. Suppose 0 = z + w*z + 27. Let i = z + 16. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153 - 93. Does 30 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 4*l**2 - 2*l - 3. Let r = -11 - -7. Let a be x(r). Find the first derivative of 6 - 4*t + 2*t - a wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 + 224*k**2 - 7470*k - 53856\/7.\nAnswer: 2*(k - 33)*(k + 1)*(k + 816)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3 - 424*q**2 + 44944*q = 0.\nAnswer: 0, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggglgglllgl. Give prob of picking 2 l and 1 g.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 3*w - 1. Let i(b) = -2*b. Let f(s) = 3*c(s) + 5*i(s). Is f(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 20. Let n be r(-6). Let g = 5 + -5. Let w = 1 + g. Which is the closest to -1? (a) 2\/7 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 8*q + 13. Let l be -13 - (((-9)\/3 - -1) + -1). Give a(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1\/6 (b) 2 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 3*h + 6. Let i be g(-5). Suppose -i = -5*m + 214. Suppose -s + 22 = -5*d + 4*d, -3*s + m = d. Solve -5*y + 6*y + s = -3*j, 4*y = -20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Let n be (-344 - d)\/((-12)\/(-3000)). What is n rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 9\/(-3) - 2. Let r = -9 - -6. Which is the closest to 3? (a) w (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 11. Let b(d) be the first derivative of d**z + d + 2 + 1\/3*d**3. Factor b(c).\nAnswer: (c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16072.324651 rounded to the nearest ten?\nAnswer: 16070","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is 596 minutes before 8:44 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1058634 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**9\/6048 - i**8\/3360 - i**7\/1680 + i**6\/720 + 8*i**3\/3 + 1. Let p(u) be the third derivative of j(u). Factor p(q).\nAnswer: q**2*(q - 1)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = u - 994 + 190, 2*u = 0. Let g = k + 270. Solve -20 = g*d + 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1187\/48 + 393\/16. Which is the closest to 0.3? (a) u (b) -2.2 (c) -0.01 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 7*y**2 + 3*y + 7. Let a(k) be the second derivative of -k**4\/6 + k**3\/6 + k**2 + 4*k. Suppose -2*j + 6 = j. What is j*c(n) - 7*a(n)?\nAnswer: 2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -17012 divided by -960?\nAnswer: 4253\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4006 - -8056. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/42 + (-6)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**0\/w))\/w)**(-2\/27)*w**5*w\/(w\/w**7)*(w**(3\/5)*w**(-7))\/(w**(1\/13)*w*w\/w**(1\/3)) assuming w is positive.\nAnswer: w**(6638\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-89 - 44595)\/(-3 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 7.43649, -2, -0.2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*z - 24 = -a - 550*z, a + 3*z = -16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.118 and 2?\nAnswer: -0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63.1 - -62.6. Let z be 1\/6 + 3 + -3. Which is the smallest value? (a) n (b) 2\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 6*i**3 + 24219*i**2\/4 + 541884*i + 601965 = 0.\nAnswer: -910, -98, -9\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2974446 to the power of 1\/2, to the nearest integer?\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n - 2. Suppose 4*l + 25 = -4*q + 69, 5 = 5*q - 5*l. Suppose 0 = 3*f + q, 0 = p + 4*f - 5 + 1. What is the remainder when r(7) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - u = 1286, -370 = -5*b + u + 1238. Calculate the highest common factor of b and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 9:54 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 40 = 9*f - 4*f, 0 = -d - 2*f + 12. Let n = 0.558474 + 0.041526. What is the fourth biggest value in n, -1\/5, 7, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-35)\/2))\/(132\/28 + -3).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -17. Let b be -1680003 - (-4 - 5)\/m. Round b to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d - 5*l + 19, -5*d - 5*l + 55 = 0. Let h = d - 1. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o = -50*o + 22. Let u(r) = 344*r - 101. Is u(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -0.2, -1420, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-10 + 1735\/100))*-4 - -9.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 7*i**2 + 16*i + 6. Does 27 divide c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Suppose v*t = 2*b + 29, 0 = -b - 4*t + 4 + 14. Let u be (-3)\/6 - 1\/2. Put b, u, 0 in decreasing order.\nAnswer: 0, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 214 - 228.05. Let y = 15 + x. What is y rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*w = -285*w - 613*w + 4890 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -439.1693 and -1.8228243.\nAnswer: -440.9921243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -259696, -259701, -259710, -259723, -259740, -259761?\n\"Answer: -2*s**2 + s - 259695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3003 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -3\/70*q**5 - 90*q - 1\/28*q**4 + 0*q**2 + 0 + 1\/70*q**6 + 1\/7*q**3. Factor s(t).\nAnswer: 3*t*(t - 2)*(t - 1)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-240)\/(-55))\/(-2) + 2. Let z be 38\/80 - 1\/10. What is the third biggest value in 1\/4, z, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1051\/8 - -131. Which is the closest to 2? (a) 0.1 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, -6, -8, 2\/27 in decreasing order.\nAnswer: 2, 0.5, 2\/27, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, g: 5, h: 5}. What is prob of picking 1 h and 3 z?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6766801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35604 + -24558. Let b = -11137.064 + t. Let i = 92 + b. What is i rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x - 27*x - 5*l - 20 = -65*x, -16*l + 48 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 0 - 8. Suppose -m*k + k = 364. Find the common denominator of k\/24*(-18)\/140 and 43\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {r: 2, n: 4, l: 5, t: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**3 + 1308*t**2 - 31917*t - 564. Calculate b(190).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/326?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7892.16603 rounded to one dp?\nAnswer: -7892.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 150866829 to the power of 1\/2, to the nearest integer?\nAnswer: 12283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 137 = -351. Differentiate a - 24 + 4*j + 0*j wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:08 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1160056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -656 - -662. Let w(h) = -2*h - 78. Let b(i) = i + 26. Let k(m) = 17*b(m) + 6*w(m). Calculate the smallest common multiple of 2 and k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123173055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 143895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*r - 54*r + 96. Calculate the highest common factor of 264 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 - 7*n - 5. Let o be p(-6). Let t = 3 + o. Suppose y - t = -0*y. Calculate the least common multiple of y and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 1:32 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.514935 kilograms to milligrams.\nAnswer: 5514935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d - 9. Determine v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**0)**(9\/5))**(-3\/10) assuming b is positive.\nAnswer: b**(-27\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 73 + 25 + x to b*x + i and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose b + p + 3 = 0. Let m = -11 - -7. What is the closest to 1 in -0.5, b, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*h + 23050, -3*h + 5104 = o - 6423. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**2\/2 - 2*p - 3. Let q be r(6). What is the units digit of (q + -1)\/(3 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 12:59 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 3:10 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = -b, 4*t - 5*b = 3*t + 27. Suppose t + 18 = 5*z. Solve 3*q + 3*j - 2*j - 11 = 0, 5*q + z*j = 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*s - 3*m, -5*s - 12 = 4*m - 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -942.38432736 and -0.5?\nAnswer: 941.88432736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18700)\/19800*(-20)\/(-17) + (-3)\/(54\/1132).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-5 - 1\/11 - -5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 79 and 39460 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p + 2. Calculate the remainder when d(3) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {e: 3, t: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(972) - sqrt(3267)*4)\/(5*(sqrt(225) + sqrt(225)*2 + sqrt(225)) - sqrt(225)*-2*6).\nAnswer: -19*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131530 is divided by 3383?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107608, -5, 3 in ascending order.\nAnswer: -5, 3, 107608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 7 + -1 + (-124 - -30).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/9 - 1318*b\/9 + 36032\/3 = 0.\nAnswer: 96, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553 a factor of 175590234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47494 = 648*d + 1308*d + 36177 - 53231 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:55 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27041*u**5*v + 3*u**2*v - 7*u**2 - 1083*u*v wrt u.\nAnswer: 1622460*u**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*b + 3. Suppose 0 = -3*h + 15, 59 + 119 = -b*a - 4*h. Let p = a - -249. What is the highest common factor of p and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiqionnniionooqo. Give prob of sequence qonn.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f + 108. What is the remainder when v(20) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 1:50 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)\/(t*t**(14\/3)))**(-44))**18 assuming t is positive.\nAnswer: t**10032","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 8. Let g be n(0). Suppose 2*i - g = -4. Let o(c) = -100*c**2 + 7*c**3 + 34*c**2 + 30*c**i + 37*c**2. Calculate o(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -104, -375, -910, -1799, -3132, -4999, -7490?\n\"Answer: -15*c**3 + 3*c**2 - c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1429689.\nAnswer: 3, 31, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 12*i**2 - 16.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2347*j - 581*j**2 - 1919*j + 30*j**2 - 1250*j + 1807*j wrt j?\nAnswer: -1102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -86)\/7 + 9 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25566 divided by 341\nAnswer: -25566\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*t, 2*g - 11 = -3*t + 8*t. Solve -g*v + 0*v = -5*a - 3, 0 = 2*a + 4*v - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) -11 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m*m\/(m**(2\/3)\/m)*m**9\/(m**(3\/5)*m) assuming m is positive.\nAnswer: m**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -4*s + 1, 7*s = -2*u - 27 - 5 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 12*r + 12. Let z be d(11). Suppose -59 = -2*b - z. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 8 = -b, -7*j + 34 = 10*b - 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -0.4 (c) 3 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 934490709, 1868981415, 2803472121, 3737962827, 4672453533?\nAnswer: 5606944239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 4:40 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 43 + 31 = 5*p, -4*p - 2*q - 6 = 0. Suppose p = -22*v + 21*v + 484. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-130)\/16)\/(48\/(-8)) and 161\/120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56639073.2 to the nearest one hundred thousand.\nAnswer: -56600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18544 or -1138?\nAnswer: -18544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + 1.8. Let f = 6 + -8. What is the second smallest value in -1\/7, f, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 10 + 7)*(2*c - 2*c + 2*c) as y + o*c and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 376227365?\nAnswer: 376227363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 275035733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.3 - 3.3. Let u = -12 + o. What is the closest to 1 in 0.2, -1, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34903 - -279227\/8. Put -7, 2\/3, 7\/5, k, 0.4 in increasing order.\nAnswer: -7, k, 0.4, 2\/3, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 13 = -4*h + 7, h - 2*g + 6 = 0. Let l(f) = 2*f**2 + 0*f**2 - 6*f + 0*f**h. List the prime factors of l(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103 - -131. What is the remainder when 6*17*15\/(-2 + 7) is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -23*l**2 - 178*l - 6. Let y(j) = 24*j**2 + 178*j + 10. Let c(w) = -6*n(w) - 5*y(w). Let m be c(-10). Solve -m*i = -8*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3 - (3 - 6)) + -7 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112788 a multiple of 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 3, t: 3, z: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(153) + (sqrt(153) + (3 + sqrt(153)*-2 - sqrt(153) - sqrt(153)) - sqrt(153)) + (-1*sqrt(153) - sqrt(153))*-3*-1)**2 + -1)*-2.\nAnswer: -1240 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057699816 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414, -3223, -10854, -25719, -50230, -86799, -137838?\nAnswer: -205759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47043143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 297*l + 298*l - 596*l - 3*l**2 + 3*l**3 - l**3 as w*l**2 + h*l**3 + d + a*l and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*p + 120*p - 339*p - 7330 + 110*p as t*p + o and give o.\nAnswer: -7330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*x - 11, 3*j - x - 4*x = -7. Let h(g) = -6*g**3 - g**2 + 1. Give h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4*t*t*t\/(t\/(t\/(t*t**(-1\/10))))*t*(t\/(t\/t**(-5\/6))*t)\/(t*t**(3\/5)*t*t*t) assuming t is positive.\nAnswer: t**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 724527729 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**2 + 162*y - 7. Let l(o) = -o**2 - 24*o. Let i(j) = -6*l(j) - u(j). Give i(-14).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 32 = 2*c. Suppose z - 4*q = -7, 3*z - 3*q + 2 + 19 = 0. Let l = c + z. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2123 + 1120032?\nAnswer: 1111303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 4*a + 2*a - 8*a - 17*a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 98.0148 and 0.4.\nAnswer: 98.4148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 711.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*h = -h + 14, 0 = 2*m + 4*h + 18. Let d(y) be the first derivative of -y**4\/4 - 5*y**3\/3 + y**2 + 5*y + 1621. What is d(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-1 + -2 + 1). Let j(u) = -u**2 + 9*u - 7. Let h be j(5). Let a = h + n. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1017 and 678.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Suppose 5285*k = -u + 5286*k + 7, 2*u - 4*k = 8. Let f = -3.6 + 4. Put 0.5, f, d, u in ascending order.\nAnswer: f, 0.5, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 823, -4\/169, -5, 2 in decreasing order.\nAnswer: 823, 2, -4\/169, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1469242, 2938538, 4407834, 5877130, 7346426?\nAnswer: 8815722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*t + 379 - 73, 0 = 2*d + t - 193. Let o be 14*4*(-7)\/d. Sort 4, 83, o, -1.\nAnswer: o, -1, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/9 - 513532108*d\/9 + 32964403243365458\/9 = 0.\nAnswer: 128383027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*x + 61, -x = x - 5*s - 37. Let w(m) = -m + 2. Calculate the remainder when x is divided by w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 141? (a) -35 (b) -144 (c) 2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 - 6 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 11. Let v = -11.6 - r. Which is the second smallest value? (a) v (b) 2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - y - 117 = -4*g, -2*g + 63 = 5*y. Let l(u) = -5*u - 31. Let n be l(-7). Let t = g - n. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*y + 17*y - 53*y. Determine a so that a + y - 1\/8*a**2 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**6\/15 + 6*x**5\/25 - x**4\/5 + 67. Factor r(d).\nAnswer: -2*d**3*(d - 2)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -5 (c) -2 (d) -17 (e) -3 (f) 32\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 20488.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85*h*s**3 - 14*h*s**2 - 6*s**3 - s**2 wrt s.\nAnswer: -510*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0. Let h be 8\/(-6)*6\/(-4). Let d = -3693 - -29543\/8. What is the nearest to h in z, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/6 (b) -10 (c) -0.7 (d) -6 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -24*g. Let r be j(-7). Let f = r + -1170\/7. Determine w, given that 12\/7*w**2 + 15\/7*w + f + 3\/7*w**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7876 is divided by 7801?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 99 = -71. Suppose v*z - 176 = -126. Solve 0 = j + 3*f - 18, 2*j + z*f - 2*f - 21 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -14*v + 11*v + 112, 0 = 4*m - v - 45. Solve 406*x = 393*x + m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 29*f**6\/40 + f**5\/30 - 19*f**4\/24 + f**3\/6 - 74*f**2. Find the second derivative of r(j) wrt j.\nAnswer: 522*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2805\/48457?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i - 41*i + 4*i - 2*i**3)*(-3 - 1 + 3)*(i + 3*i - 5*i)*(4*i - 4*i + i).\nAnswer: -2*i**5 - 48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 8. Suppose -v*m + 78 = -3*j + 18, -25 = 5*j. What is the highest common divisor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 279466 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekeeeeuktukqkuqek. Give prob of sequence kq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 115, 82, 31, -38, -125, -230?\n\"Answer: -9*s**2 - 6*s + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 2\/67, 2, -15, -8, 11, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 8928203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 t when three letters picked without replacement from ddtdatdtddaddddddd?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 477790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1970 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 4768?\nAnswer: 42912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -138. Let b(t) = t + 3. Let o be b(x). Solve 0 = -5*i + 15, -2*i - o = 3*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 830 = 2*a - 9*l, 4*l = 8. Which is smaller: a or 411?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2, -20, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -43?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/227982 and 13\/915.\nAnswer: 69534510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(3 - 2 - 0). Let q = -9 - m. Suppose q*k + s = 62, 49 = -3*k + 6*k + 2*s. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4023.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/27 - (-32)\/18. Solve -3*z = -2*d + 18, z - 6 = -4*d + u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(3 - 5)*3. Is (-166)\/(-8) + z\/(-12) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 12 = 3*j - 1, 2*j - 5*i = -13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/2 of a minute?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 - -143\/3. Which is the nearest to -6\/11? (a) 1\/2 (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q + 3. Let k(p) = p + 1. Let a(b) = -i(b) + k(b). Let z(f) = -2*f + 1. Suppose -4*y - 19 = -2*u + u, -3 = 3*y - 3*u. Give y*a(h) - 13*z(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*-22\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*v**3 - 21*v**2 - 148780*v wrt v.\nAnswer: -1338*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 v when three letters picked without replacement from rbvovzxbvvor.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -5*d**4\/12 + d**3\/6 - 5*d**2\/2 + 2*d. Let h be b(7). Calculate the common denominator of 33\/8 and h\/6*(-2)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -240, -468, -698, -930, -1164, -1400?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**5\/150 - x**4\/10 - 3*x**3\/5 - 9*x**2\/5 + 102*x. Factor g(u).\nAnswer: -2*(u + 3)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(224\/8))\/(2\/1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4066 + 4084. Calculate the highest common divisor of r and 1314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k + 2. Let q be w(1). What is the third smallest value in q, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 7*i + 51 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 418 - 262. Let b be 2*290 + (-38 - v). Round b to the nearest ten.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -28. Suppose -40 = 3*r - d*r. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 8:47 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2267569037.\nAnswer: 4937, 459301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2)*(2 - 2 - 1) + 0 + 1 + 2)*(f - f + 3*f - 4*f + 3 - 3 + (f + 2*f - 2*f)*(1 + 1 - 1) + f + 4*f - 7*f - 3*f + 2*f + 0*f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 435*x + 6409 - 1189 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/14 - 12\/42. Let d be (1 + (-2)\/(-4))*2. Suppose d*m + 2*h - 7 = 0, 0*m - 3*h + 3 = v*m. Let l(g) = g**3 - 5*g**2 + 2*g - 7. Calculate l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -12\/17 (b) 7 (c) -12 (d) 2 (e) 2\/3 (f) 2\/5 (g) 9.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 4851*q - 4848*q + 4*r, -60 = 4*q + 4*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.015 (b) -79 (c) 79\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**3*y**2 + 1031105*v**3*y + v**3 - 82*v*y**2 + 6*v - 12*y**2 - 3*y - 5 wrt v?\nAnswer: 6*v*y**2 + 6186630*v*y + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2497*o + 107426. Give g(43).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 2156?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 4. Let y = 1382 - 1387. Let n(r) = -2*r - 5. Calculate y*n(w) - 6*f(w).\nAnswer: 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-6))\/(2\/6). Suppose -p + 2 = -5*n, 4*n - 5*p = -2*p + w. Does 7 divide 19 - -2*(2 + n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 128*l**2 + 5824*l - 2119947. Let a(g) = -35*g**2 - 1456*g + 529987. Let y(p) = 22*a(p) + 6*c(p). Solve y(s) = 0 for s.\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -283a397?\nAnswer: -283a391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*h - 94*h = -19*h - 1728 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 958933912.82 + -2.5?\nAnswer: 958933910.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 13118*u + u**2 + 0*u**2 - 13087*u + 0 - 8.\nAnswer: u**2 + 31*u - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004256358468 to 6 dps.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -606386 or -606368?\nAnswer: -606368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.12035kg to micrograms.\nAnswer: 26120350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 779 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24642 minus -52?\nAnswer: -24590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5952 (base 12) in base 11?\nAnswer: -756a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**3 + 3*h**3 - 2*h**3)*(26*h + 3 - 28*h + 20) as a*h**4 + k*h + i + d*h**2 + x*h**3 and give x.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 30*r - 173. Calculate s(-17).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u. Suppose 5*g - 21 = z, -6*g - 4*z = -3*g - 8. Suppose 4*t = 3*t + g. Let a(x) = -1 - 3 + t - 3*x. Give a(m(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -217 + 235 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/992 and 85\/9560772.\nAnswer: 76486176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*a - 45*a = -476*a - 132*a + 72459 for a.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 - (0 + 1 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n + 12*n = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.59737 millilitres in litres?\nAnswer: 0.01859737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2970 a factor of 536744212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - 92. Let y(a) = -a**2 + 7*a - 1. Give y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.041855 and 3.\nAnswer: 2.958145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/540 and -29\/6390.\nAnswer: 38340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 572951841 to the power of 1\/2, to the nearest integer?\nAnswer: 23936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48441 is divided by 48398?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -53.55. Let k = l - -4.15. Let n = k + -3.6999872. What is n rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/78 and 58\/209.\nAnswer: 16302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 622*z - 182*z + 27*z in the form w*z + f and give w.\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9*m = -45. Suppose -4*x + 1 = -3*x, 355 = 5*i - 5*x. Calculate the greatest common factor of m and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 4 - (-9)\/(-3). Let f(z) be the second derivative of z + 0*z**3 + 0 + h*z**4 - 1\/10*z**5 + 1\/2*z**2. What is the derivative of f(b) wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -148*y**2. Let g(q) = 4*q + 5. Let a(v) = -v - 2. Let f(x) = 5*a(x) + 2*g(x). Determine b(f(o)).\nAnswer: -1332*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*a + 855 + 37, -223 = -f - a. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9584 - 1788. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349215101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825643 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + z, 3*c + 11 = z + 31 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1 (b) 1 (c) -12 (d) 2 (e) 5 (f) -2041 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(s\/s**(3\/2)))\/s*s)**(1\/16))**(-48))**39 assuming s is positive.\nAnswer: s**(-585\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**7\/105 + 7*g**6\/15 - 47*g**5\/30 + 29*g**2. What is the third derivative of h(m) wrt m?\nAnswer: 48*m + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 4082476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by (-2)\/6*(-10 - 35)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - c - 2*c = -7 + 16 + 18, -5*c = 2*w + 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 412551355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9974.942 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3458 - -26623. Suppose -d - 29739 = g. Let c = g + 1794437\/30. Calculate the common denominator of c and -14\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 151 + -151.1. Let o = 8 - 5. Put o, l, 4 in descending order.\nAnswer: 4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.080286689 to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {r: 3, b: 1, t: 2, k: 2, v: 3, h: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11200 (base 4) to base 2\nAnswer: 101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + (-5 - -9) + -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3555214 nanograms?\nAnswer: 0.0000000000003555214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17150021*s**5 + 5393583*s wrt s?\nAnswer: -343000420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4 and -23\/73.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + 0.1025?\nAnswer: 69.1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-20))\/((-1)\/2). Let h = 214 - 214.2. Which is greater: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + (9 - 4) - 20*1. Let l be (21 + n)\/(0 + -3). Solve l = -4*w - 10 + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -25\/6, -1030 in descending order.\nAnswer: -25\/6, -21, -1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 8*p**2 - 3*p**2 + 54 to the form j*p + m + c*p**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3027956?\nAnswer: 2, 31, 24419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -128365 less than 21767.3?\nAnswer: 150132.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in 2, -10, -363, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 125 = 4*y, -43 = 910*y - 906*y - 3*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/9))\/j*j*j*j**11*j)**44 assuming j is positive.\nAnswer: j**(5632\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -863?\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2162 - 58348\/27. What is the common denominator of ((-258)\/108 - -2)*(-2760)\/224 and s?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 15) in base 11?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27556 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + -65. Let k = 22 - i. Let v(l) = 2 + 2*l**3 - l**3 + 0*l**3 + l**2 + 0*l**2 + 3*l. Give v(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30344 + -1057509?\nAnswer: -1027165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/9 - 899*w\/3 - 2696\/9.\nAnswer: -(w + 1)*(w + 2696)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/(-1320)*-84 + 14\/(-10). Let c = -1752868\/833 + 14730\/7. Which is smaller: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3162\/5 - -6357\/10. Suppose 64*w = 62*w + 6. What is the common denominator of 203\/(-54) - -4 - w and a?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(320) + (1 + sqrt(5))*6)**2 - ((0 + sqrt(3645) - sqrt(45))*-3)**2.\nAnswer: -25299 - 220*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36\/10 - (-36)\/90 - -1057.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 55 - 47)*(51240*d - 6 + 2*d**2 - 51240*d).\nAnswer: -120*d**2 + 360","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000348578139 to 6 dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9030320413 + -69190315110391\/7662. Let g = 5743 - 7333812\/1277. Let t = g + n. Find the common denominator of -81\/16 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-130)*(5 - 3 - 7). What is the third biggest value in r, -3\/7, -2\/11, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33.913 and -55.\nAnswer: -1865.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5933 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23596 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 287, 590, 1005, 1526, 2147, 2862, 3665?\nAnswer: 4550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 32810 and 32812 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/77 and 23\/121.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-42)*35\/15*(-3)\/66?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1132084, -4528407, -10188944, -18113695, -28302660, -40755839, -55473232?\nAnswer: -72454839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -115*f. Let w(t) = 5*t**2 - 4*t - 123. What is w(m(q))?\nAnswer: 66125*q**2 + 460*q - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 + 80. What is the closest to 1 in 2, 2\/11, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 11) to base 12\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-120)\/(-16))\/5)\/((-3)\/(-16)*-1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -20. Let a = 15 - b. Suppose -5*x = 5*i - 35, 2*x + a*i - 16 = 2. Calculate the greatest common divisor of x and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 2. Let u be w(-6). Let a = -1 - -1. Let d be a - 3 - 5 - -2. Is d <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -5 (c) 1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -822205604 divided by 44?\nAnswer: -18686491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-36)*(-56)\/336?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 4:46 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80245836 and 1782?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + m - 2608*m**2 - 670 + 2606*m**2 - 2*m.\nAnswer: -2*m**2 - 670","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735585731.\nAnswer: 107, 6874633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**3\/6 + 15*m**2\/2 - 28*m - 13. Let j(a) be the first derivative of h(a). Give j(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 - -2) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/10205 and 48\/1885.\nAnswer: 295945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5880 and 29686062.\nAnswer: 593721240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d - 18 = 0. Let w = 5517\/4 + -1379. Is w at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/17)*a)\/a**4)\/((a**(-5)\/a)\/((a*a**(-18\/13))\/a)) assuming a is positive.\nAnswer: a**(318\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(312)\/(sqrt(512)*-2))\/((sqrt(108) - sqrt(108)*-2)*-2) + -1.\nAnswer: -1 + sqrt(13)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71028, -70974, -70920?\nAnswer: -70866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6)*(-2 + 0 + 10)*(6*p - 17 + 17) + (-6*p + 3*p + p)*(1 + 0 - 2).\nAnswer: 98*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k - 91. Calculate x(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7, 27, -2\/3, 71?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n. Let t(m) be the third derivative of 0*m + 0*m**3 + 0 - 1\/12*m**5 - 2*m**2 + 0*m**4. What is s(t(r))?\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-23)\/(i\/i**(-2\/29)))\/((i*i\/(i*i\/(i*(i*i**(4\/11))\/i))*i*i)\/i**(-6)))**(19\/4) assuming i is positive.\nAnswer: i**(-202635\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**3 - 5. Let s(d) be the first derivative of -7*d + 0*d**3 + 5\/2*d**4 + 3 + 0*d**2. Calculate -7*i(k) + 5*s(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -13. Let j be (8\/o)\/(6\/15). Suppose j*f = 5*f - 111000. What is f rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 2 - 10\/14. Let z = -1.361 - -0.961. Which is the nearest to f? (a) 3 (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1482*x**4 - 25*x**3 + 1486*x**4 + 4*x + x**2 + 1487*x**4 - 4471*x**4 as z*x**2 + g*x + b*x**4 + s + u*x**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*s + 53, 2*s - 47 = 3*y + 4. Let d = 4 + y. Let x be ((-54)\/d)\/(1\/5). Calculate the highest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {i: 3, u: 3, r: 1, p: 1, g: 3, y: 6}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5553399 is divided by 1110670.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1424250*a + 1424250*a - 1 - 241*a**2)*(1 - 2 + 2).\nAnswer: -241*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -132. Let x = 40 + j. Which is greater: x or 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0582 - -0.0582. Which is the closest to x? (a) -1 (b) -1\/105 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/120 + l**5\/10 - l**3\/3 - l**2. Calculate p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31507.2054 times 0.1?\nAnswer: 3150.72054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.6, -100, -7, -0.3?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64644306 (base 8) to base 5.\nAnswer: -12021043401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 1010*k + 1 - 5496*k - 1 in the form u*k**2 + s*k + h and give s.\nAnswer: -4486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xllxxll. Give prob of picking 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 20215377\nAnswer: -40430754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17927 and 25732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -559.2 and 16?\nAnswer: -8947.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0791 times -5\nAnswer: -0.3955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) 1 (c) 9\/7 (d) -0.2 (e) 10421\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 + 86. Let a = -59 - c. Let j = 12 + a. What is the nearest to 0.2 in 2\/9, -1, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 1\/5, -0.2, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k**2 + k)*(9036 - 1443*k**2 - 9036 + 5289*k**2).\nAnswer: -7692*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 14*s - 77. What is the tens digit of a(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = -38. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -60 - (-1 + 2) - 6 - -10.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 11*g**2 + 2*g - 27. Let j be r(11). Let b(p) = -17 - 9 - 14 + 33 - 14*p. What are the prime factors of b(j)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7160188 or 1\/4?\nAnswer: -7160188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/25 less than or equal to -25348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*(3513 + -3503).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 7. Suppose 5*v - 3*m = -8*m - 10, 5*v = m - i. Let t = v - -7. Let q(b) = -b**2 + 3*b + 1. Determine q(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 - 133.72. Let v = -0.48 + q. What is the closest to v in 1\/3, -2\/9, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 9. Let x be c(7). Let q = x + 8. Suppose 3*f = 3*r - 36, 0 = -4*r - f + 39 + 9. What is the highest common factor of r and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from {d: 1, h: 2, n: 2, a: 1, b: 1, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(77) - sqrt(77)*2*-5)\/(sqrt(112)*3) + -4.\nAnswer: -11*sqrt(11)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 3*i**3 - i**2\/2 + 4*i. Does 5 divide l(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*d + 4 = 0, 120*d - 464 = -157036*z + 157035*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -312407, -312411, -312415, -312419, -312423?\n\"Answer: -4*f - 312403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + 1 + sqrt(684)))**2 - ((1*sqrt(38) - sqrt(38))*4)\/(sqrt(2) - ((sqrt(2) - (sqrt(2) + 2*sqrt(2)))*4 - sqrt(2))).\nAnswer: 192*sqrt(19) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:43 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -15\/4*o**3 - 51\/4*o**2 - 12*o - 3 = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.0900556 + -1.09. What is f rounded to 6 dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28143881 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 9*d**2 + 21*d**2 + 4*d**2 + d.\nAnswer: 34*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 1. Let p be a(4). Let j(m) = m**2 + 5. Let v(g) = 0 - 47 + 3 + 33 + 7. What is p*v(w) - 4*j(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/644323241 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -123746, -123747, -123748?\n\"Answer: -u - 123745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -7*z - 12. Suppose 0 = -z*u + 3*a + 9, -3*u + 16 = -5*a + 1. Let m be 11\/((-55)\/(-20)) + u. Solve -4*p + 8 = 2*h, -p - h = -2*p - m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/11886387 or -1?\nAnswer: -14\/11886387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 8. Let u be w(10). Suppose -2*r - 10 = -3*m + 49, u*r = 2*m - 38. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 795068 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 0.0335.\nAnswer: 0.2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -626*c + 589*c - 2617*c.\nAnswer: -2654*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 46 (b) 27 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.4034318 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40264 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 + 0*p**2 - 2 + 3 + p - 4*p**2. Calculate d(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 124. Let j(o) = 1199*o. Give q(j(f)).\nAnswer: -2398*f + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*n = 20*n + n - 585. Let u(w) = 1 + 3*w**2 + w**2 - 3 - 4*w + w**3. What is u(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 67*t**2 + 5*t + 4. Let y(l) = l**2 - l - 1. Let v(c) = n(c) + 5*y(c). Let k(s) = -19025*s + 6334*s + 6330*s + 6360*s. Give v(k(m)).\nAnswer: 72*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417587?\nAnswer: 53, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 113302011113 (base 4) in base 10?\nAnswer: 6234455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 + 40*d**2 + 14*d + 56. Calculate o(14).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 = -5*u, -2*v + 5*u - 6 + 27 = 0. Let o = v + 4. What is the lowest common multiple of 21\/1 + o + -6 and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-315)\/(-200)) + 6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3373954 and 92.\nAnswer: 155201884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 55683.1.\nAnswer: 167049.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-750)\/(-45)*((-2)\/10)\/((-56)\/(-35))?\nAnswer: -75\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 0 + 6\/3. Suppose t = 5*d - 0*w + 2*w - 1327, 4 = 4*w. Suppose -5*l - 80 = -d. What is l rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 60 + 102 = 5*n, -d + 4*n + 81 = 0. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxww when four letters picked without replacement from {i: 6, b: 4, x: 2, w: 3}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33840*d + 1328 = 33923*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 - 103.5. Let a = -15.5 - j. Is 2 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4844.219g in kilograms?\nAnswer: 4.844219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -461\/18618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)\/g**(-11) assuming g is positive.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -70d6?\nAnswer: -70d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 26*h + 5. Let y be r(0). Suppose 0 = y*d + 10, 5 = 3*a - 4*d + 9*d. Let u be 2 + 0 + -1 - -1. Solve j + 2*c + 0*c = a, -j + u*c = 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -23. Suppose 4*h + 1422000 = -w*h. Round h to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112401335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/(-220))\/21*3.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*u - 10 = 0, 3*d = d - u - 16. Let r be ((-6)\/(-4*(-5)\/d))\/1. Solve -2*y = -0*q + r*q, 2 = 2*q + 2*y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1265 or 1\/4?\nAnswer: -1265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16065.47l to millilitres.\nAnswer: 16065470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*b + 809*b + 11730 - 61812 = 0 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2156.869811 + 2156.9. Round l to 3 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*u + 6834 - 21341 = 0, 2*u = 2*l - 5802. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*a - 4*w, -6 - 2 = 2*a + 2*w. Let t be 48\/33*2 + a. What is the biggest value in 2\/21, -0.4, t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) - 39\/(-12). Suppose -a*s = -s + 2*s. Solve n + s = 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -598170 + 598305. Calculate the smallest common multiple of p and 92 - 0 - (1 - -1).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l**2 - 11*l - 13. Let j(v) = -26*v**2 - 33*v - 39. Let z(p) = 2*j(p) - 7*q(p). What are the prime factors of z(6)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4276, 8608, 12940, 17272, 21604, 25936?\n\"Answer: 4332*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 53, 164, 343, 584, 881?\n\"Answer: -q**3 + 40*q**2 - 2*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/18 and 29\/206.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k + 2. Let s(p) = 2*p - 2*p + p + 2*p + 2. What is -3*s(w) + 4*x(w)?\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 + 4*o**2 - 2*o**2 + (0 + 0 - o**2)*(4 - 6 - 3).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yelybceblbbbebccbbte. What is prob of sequence cll?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699851, 699549, 699045, 698339, 697431, 696321?\nAnswer: 695009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -2 - 0\/(-2). Let f = 3 + t. Suppose -1 - f = -p. Which is smaller: p or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122957*f**3 + 38566*f**3 - 43695*f**3.\nAnswer: 117828*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7 + 88)*3\/3 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -779492 + 124745582.\nAnswer: 123966090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 997083 in ascending order.\nAnswer: -3, -1, 997083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2975 - -2912. Which is smaller: -10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -k, 0*k = -4*k - 3*b. Let d be 52\/10 + 13\/(-65). Suppose -d*l - 3*c + 6 = 0, 4*l + 9*c - 27 = 14*c. Solve l*u + k*u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.5 - 3. Let k = 2.02 + -0.02. Let w = k - 2.2. Which is the second biggest value? (a) o (b) w (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*v + 150*v + 98*v + 97*v - 506*v + 101*v.\nAnswer: 27*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 5, k: 4, r: 3}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18765 + 10b6?\nAnswer: 1985b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7119701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2058*p**2 + 5 + 2060*p**2 - 3*p - 5. Let b(f) = 2*f**2 - 4*f - 1. Let t be 60\/33 + -4*(-4)\/88. Give t*b(k) - 3*v(k).\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -321, -331, -355, -399, -469, -571, -711, -895?\n\"Answer: -d**3 - d**2 - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 1.3. Let d = -159.5 + 159. Sort a, 4, d in ascending order.\nAnswer: a, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 7*i + 7. Suppose -4*w - 22 = 6. Let o be t(w). Let h = -102 - -102.4. Put h, 1, o in descending order.\nAnswer: o, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -139*(3 + 14\/(-4)). Let d = i + -68. Put -5, -2, d in increasing order.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.486 + 0.096. Let d = b + 4.69. Let q = 4.61 - d. What is q rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.094 - 0.394. What is the biggest value in -2, 2\/15, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*x + 2 = -o, -13 = -5*o + 3*x. Let d(p) = -57 + p**o + 59 + p**3 + 0*p**3. What is d(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(6) + (sqrt(6) - 4*(sqrt(18)\/sqrt(3) - sqrt(6)) - sqrt(6)))*-5)**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - (sqrt(170) - -4*3*sqrt(170))))\/(sqrt(70)\/sqrt(112)).\nAnswer: 52*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 331, 1316, 2949, 5224, 8135, 11676, 15841?\n\"Answer: -c**3 + 330*c**2 + 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 12 - 4. Let d(b) = -6*b + 2*b + 3*b + b**2 - 17 + 5*b. Let o be d(-7). Solve -3*j = 5*y + o - h, -y + 10 = -2*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3. Let s be 28\/(-7) + 1 + -1. Let y(b) = -5*b + 3. Let f(x) = x. Let r(a) = -4*f(a) - y(a). Let d(h) = s*n(h) - 3*r(h). Determine d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293168985.\nAnswer: 3, 5, 19544599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.09924 times -1\nAnswer: 0.09924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110201220101022 + -11?\nAnswer: 110201220101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 48 = 25*g. Solve 2*s + 16 = -4*k + s, 4*k - g*s - 4 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -115.\nAnswer: 57.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -63*g + 44. Let l(k) = 13*k - 641 - 44*k + 662. Let v(p) = -13*l(p) + 6*q(p). Let u(c) = -6*c + 2. What is 9*u(s) + 2*v(s)?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 2*t + 3. Let f be u(-3). Let c = f - -4. Let d be (2\/2)\/(3\/18). Solve d = -3*l - c*p, l - 3*l = 5*p + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7 - 6\/7*s - 2\/7*s**3 + 6\/7*s**2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 63. Give o(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j + 27*j**2 - 4 - 11*j + 3. Let f(v) = v**3 + 7*v**2 + 5*v - 7. Let x be f(-6). Does 11 divide h(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p - 5. Suppose -d = 4*y + p, -4*d - y + 14 = d. Suppose -5*s - 3*k = -17, 2*s + k - 10 = 3*k. Is s less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000110 (base 2) in base 14?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -259 + 134. Let c be 412\/(-16)*2*2 - 3. Let w = c - k. What is the remainder when 148 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -37059?\nAnswer: -37058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k)*(-3 - k + 3)*(75*k**3 - 202 + 202).\nAnswer: -75*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 41. Let u = 0.5 - 0.3. Which is the third biggest value? (a) u (b) 2\/9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(56)\/sqrt(7))**2 + sqrt(2) + 3 + -3*sqrt(2) + ((2 + sqrt(2)*3 + -1)*2)**2.\nAnswer: 22*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*d + 77*d + 50*d + 75*d + 80*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/6)\/(2\/(-12)) + 17782 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5829.\nAnswer: 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 7*l - 2*l)*(-2 + 0 + 3) as v*l + n and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120584220*y**2 - 661865*y - 192 wrt y?\nAnswer: 241168440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*b + 31 + 25 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 16 = -5*i, 0 = 2*i + i + 3*y. Let l = 11 - -7. Calculate the highest common divisor of l and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 13*a + 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b02 (base 16) in base 8?\nAnswer: 65402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 - 2*z**4 + 0*z**4)*(-154*z + 16 + 12 - 28).\nAnswer: 770*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = 0, -3*d + 4*d - 32 = -4*j. Let h = j - 2. Solve h*o + 6 = 5*g + 1, o = -3*g - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3))**15*t**(-4\/7)*t*t\/(t\/(t*t**(-7))))\/((t\/(t**(-4\/5)\/t)*t)\/((t\/(t\/(t**(-1\/5)\/t)*t))\/t))**45 assuming t is positive.\nAnswer: t**(-2279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -w - 3*k + 124, -3*k = 2*w - 68. Let d = -84 - -94. What is the remainder when w is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1452 + -779. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 5*s + 9. Let l be z(-6). Suppose -c = l*c - 4. Let q(p) = p + 11*p + 8*p - 10*p + 5*p. Calculate q(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072504888.\nAnswer: 2, 7, 13, 1473221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 - (-1 + 4 + 1). Suppose 0 = -4*n - g + 19. Suppose -7*a - 16 = -n*a. What is the closest to 3 in -0.5, a, -5\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 51 + 1. Suppose 2*g - z = -0*g. Let b(h) = 2*h**2 + 4*h + 4. Let m be b(-4). What is the greatest common factor of g and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 522351902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172.3612m to millimeters.\nAnswer: 172361.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 644459001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4 - 446*p**3 + 4694*p**2 - 6306*p - 11448 = 0. Calculate p.\nAnswer: -1, 3, 9, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03245584 rounded to 3 decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*j - 11. Suppose 2*q + 121 = -85. Let w = -61 - q. What is the remainder when w is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 59*p**2 - 35*p + 29. List the prime factors of z(-30).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2 + 2*a + 49. Let d = -423 - -423. Calculate the remainder when 244 is divided by w(d).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116.9399 years to decades.\nAnswer: 11.69399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 24 = -3*r, 4*f + 10*r = 7*r + 12. Let k(x) be the third derivative of x**5\/60 - x**4\/4 + x**3\/6 + x**2. Determine k(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.157 * -530.\nAnswer: -83.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-2 - (-9)\/6). Let w = o - 4. Let q be 0 + w - (-55)\/65. Are 0 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = z - 6 - 11, -32 = -4*z + 2*b. Suppose 25 = -5*u, 3*j + 4*u - 9 = z. Solve j = -7*h + 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131000 + -200?\nAnswer: 1130200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeeooeoee. Give prob of sequence eoee.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4*t + 3*t + 3 = 0, 3*c - 12 = 2*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21765a - 5?\nAnswer: 217655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 6, -0.03, -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59.5 + -59.5000009358. What is n rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000036337023 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 269432077\/828 + -325401. What is the common denominator of u and 41\/108?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7894876 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(30) - sqrt(360)\/(sqrt(12) + sqrt(24)\/sqrt(2)))\/(3*sqrt(96)) + -3*((sqrt(90)\/sqrt(3))\/sqrt(6)*-4)**2.\nAnswer: -245 + sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1248)\/(-8) + -4 + -20. Calculate the greatest common divisor of c and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10 - (-11 + (22 - 12) + 7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157341211119 - -157338812897.00046. Let s = z - -2398348. Let t = s - 126. Round t to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 1. Let d(i) = i + 11. Suppose 4*f - 5*s = -8, 4*f + 0*s + 2*s = -36. Let l be d(f). What are the prime factors of n(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2695, 2825, 3021, 3301, 3683?\nAnswer: 4185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 40*a**2 - a + 67. Let u be s(40). Suppose -2*m + u = y - 7*m, 3*y + 3*m = 81. What is the lowest common multiple of 36 and y?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -19, -1, 7, 1, 0 in decreasing order.\nAnswer: 7, 1, 0, -1, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 6\/5*s + 3\/5*s**3 - 9\/5*s**2.\nAnswer: 3*s*(s - 2)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 7*s**2 - 42*s + 30. Calculate i(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 18*y + 102. Let t be c(-4). Let n be 48\/(-7)*(-56)\/t. Factor n + 1\/5*z**2 - 16\/5*z.\nAnswer: (z - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/50 and -46\/545?\nAnswer: 5450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-8)\/(-100)*20\/(-32)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5350376*s = 5350416*s - 2760 for s.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1001043 + -234221?\nAnswer: 211322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1324, -2647, -3966, -5281?\nAnswer: -6592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 15, t: 4}. Give prob of picking 2 d.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5.19, -3, 0.5, -1\/43?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10 + 6 = 0. Let i(k) = -k**3 + 3*k**2 + 4*k + 2. Let h be i(y). Suppose 0 = 11*g + 4 - 48. Solve g*j - h*j = -6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/3 - 239*n\/3 - 80 = 0.\nAnswer: -1, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - 5. Let b = -13 - d. What is the nearest to 0.1 in b, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.002 rounded to 0 decimal places?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-14421)\/92)\/209)\/((-12)\/(-80))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) + 2*sqrt(504) + (sqrt(14) - -1*sqrt(686)))\/(-6*sqrt(7)*-1*-1*1))**2.\nAnswer: 338\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 4*f + 1. Let x be a(-4). Let q(g) = -457*g + 2. Let v be q(-1). Let o = v + -323. Calculate the greatest common factor of o and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*v = -0*v + 16, -v = -y - 1. Let g(x) = -2*x**2. Let j be g(1). Let r be 15\/10*j\/(-9). Which is the second biggest value? (a) 0.1 (b) r (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**1)**(-1\/29)*y*y*y**0*y*y\/((y\/(y*y**(-1)))\/y*y*y) assuming y is positive.\nAnswer: y**(56\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkekkekkkkk. Give prob of sequence kekk.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sysssffgggys. What is prob of sequence gs?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -158 - -157. Sort j, -5, 5, -23 in decreasing order.\nAnswer: 5, j, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2)**(-2))**(2\/65) assuming l is positive.\nAnswer: l**(-8\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -8. Let p = -34 + 52. Let t be r\/p - (-785700018)\/(-81). What is t rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5219607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045631000 a multiple of 2265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 3:18 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 393 - 297.95. Let i = o - 94. Round i to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - (-23)\/5. Let s(b) = 63*b - 260. Let w be s(5). What is the highest common factor of w and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -4*i - 4*z, -4*z + 8 = 24. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 5. Let n(y) = -5*y + 9. Let v(c) = 4*n(c) + 7*w(c). Let s be v(-3). Let r = 2 - s. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = -200 - 136. What is the tens digit of 21\/o - (-1105)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*d + 1623 - 315 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 7*i**4\/24 - 5*i**3\/3 - 9*i**2. Let g(w) = -7*w + 9. Let b(j) = -4*g(j) - 3*v(j). Find the first derivative of b(o) wrt o.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169729 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) + (sqrt(19) - sqrt(38)\/sqrt(2)) + 4 - -1*sqrt(931) - ((sqrt(171)*-1 - sqrt(171) - sqrt(171))*1)\/sqrt(9))**2 + -1.\nAnswer: -6946 - 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 13. Suppose 39 = u - z. Calculate the remainder when u is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, f: 2, n: 3}. What is prob of picking 1 f, 2 z, and 1 n?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 34 = 8. Suppose o - 2 = 4. Solve p*u = -0*u + o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -62*i**3 + 4*i**2 - i - 2. Let u be v(2). Does 10 divide u\/(-16) - (-4)\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7080 = 4*u, 3*i - 2226 = -2*u + 4842. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 14 + p + 4)*(-2*p + 2*p - p**2) - 2*p**2 + 2*p**2 - 2*p**3 to x*p + o + w*p**2 + n*p**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-8) - 2990\/104. Let b = 208 + h. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2236 + -325708?\nAnswer: -328045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**4\/4 + 5*m**3 - 7*m**2 - 10*m - 6. Let q be a(14). Let n = q + 129. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 9 - (-60 - (-1 + 9 - 17))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 2*m + 1. Let c be q(-2). Let a be 1\/((-4)\/c + -1). Suppose 2 = -3*f - 5*u - 8, 0 = u + 2. Solve -o + g + a = 2, f = 5*o + 4*g + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 1.6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11355234 (base 6) to base 4\nAnswer: -1113103012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5400 = 7352. Suppose -x = -10*v - 108. What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -9*t**3 - 13534. Let j(o) be the third derivative of o**5\/10 - 3*o**2. Give j(y(k)).\nAnswer: 4374*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*o + 165 - 157 = 0, 2*g - 2 = 4*o for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*i + 2*i + 4823. Let b = i - 367. Determine n so that -n**2 - 1\/2*n**3 + 0 + n**b + 1\/2*n**5 + 0*n = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 6 + 3)*(-2 - 3 + 3) - 4 + 4 - 9)*(6 + 6 - 1)*(0*t + 0*t - 2*t).\nAnswer: 110*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**2. Let m(t) = -1633*t**2 + 1635*t**2 - 1 + 1. What is j(m(n))?\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69391039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**2. Let i(c) = -2*c**2 - 39*c. Give i(r(a)).\nAnswer: -98*a**4 + 273*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c**2. Let s(u) be the third derivative of 7*u**5\/20 - 8*u**3 + 22*u**2 - 3. Let v(g) be the first derivative of s(g). What is m(v(h))?\nAnswer: -14112*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, n: 1, t: 2}. What is prob of sequence mt?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 844416, 845119, 845822, 846525, 847228, 847931?\n\"Answer: 703*z + 843713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/291 and 32\/42001.\nAnswer: 126003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355156 (base 8) in base 5?\nAnswer: 44233343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 10*p - 9*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -572 by -49.\nAnswer: 572\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*r = 84, 0 = 3*d - 4*d - r + 15. Suppose -3*b + d = 2*z, b - 5*z = -z - 18. Let v be -7 + 3 + (-2)\/b. Let i(j) = j**2 + 7*j + 3. Give i(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9830.443 millimeters to micrometers.\nAnswer: 9830443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 + 26.92. Let z = 27.2 - j. Is z < 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240424 (base 6) to base 9\nAnswer: 31587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Suppose 2*n + 0*n = -5*h + 29, -c*h + 63 = 5*n. Calculate the greatest common divisor of 96 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1097 and 253400.\nAnswer: -277979800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4618 is divided by 273?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.021269 times -0.9?\nAnswer: 81.9191421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 366476 or 366477?\nAnswer: 366476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164 + -363. Let y = h - -368. Let z = 8409 - 8396. Calculate the greatest common factor of z and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 44 + (76 - 91) + -76 + 0.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k - k + (-5 + 4 + 0)*(2*k + k - 5*k) + 2*k + 4*k - k + 2*k - 4*k + 0*k)*(22*k**4 - 43*k**4 + 23*k**4).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 14120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28003067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let n(g) = 0*g + 2*g - 4*g. Let j(p) = -3*n(p) + 4*z(p). Let w(x) = x**2. Determine j(w(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 3 in decreasing order.\nAnswer: 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i - 3. Suppose w - 3 = f - 11, -3*w = -i*f + 50. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 1, z: 1, y: 1, m: 2}. Give prob of picking 1 z and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-26)\/s)**(-14)*s**(3\/5)*s**4 assuming s is positive.\nAnswer: s**(1843\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 710754713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 385641?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-4)*6 - (-1)\/24*-12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-154))\/((-401)\/(-5614)*-1*2)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 - -2677. Calculate the common denominator of ((-12)\/(-110))\/((-4)\/175) and f\/(-768) - (-4)\/6.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5 + 3 = 0, 8 = 3*v + i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 4:25 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*s - 35, -7*s + 3*s = 2*k - 10. Suppose k*p - 15 = 12. Let g(l) = -l**2 - 7*l + 20. Let w be g(-9). Solve p*f - w = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*8\/(-25)*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:30 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133 + -2?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 36 - (-13 - 48 - -79).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 11:47 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 18*u**2 - 4*u + 4. Let b(v) = -v**2 + v - 1. What is -4*b(y) - m(y)?\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 1:49 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 7:34 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/12 and 48\/6053.\nAnswer: 72636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 207*o**2 + 800*o + 2439. What is d(203)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12946 divided by 6563?\nAnswer: -12946\/6563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 231*p**6 + 1993*p**2?\nAnswer: 27720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**6\/(b*(b\/(b*b**5*b*b))\/b*b))\/(b**(-1\/2)*b**(2\/3)))**(-4\/15) assuming b is positive.\nAnswer: b**(-142\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 263135013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7838290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -456 + 453. Sort 2\/19, -1\/2, 7, y in ascending order.\nAnswer: y, -1\/2, 2\/19, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:17 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -28861777 less than or equal to -28861777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1)*z)**(-49))**2*((z\/(z*z\/(z\/(z*((z*z\/(z*(z*z**(-2\/5))\/z)*z)\/z)\/z*z*z))))**26)**(-10) assuming z is positive.\nAnswer: z**590","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 2:27 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 1, s: 1, j: 2, d: 2}. Give prob of picking 1 c, 1 j, and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**0*v*v*v))**(-2\/7) assuming v is positive.\nAnswer: v**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 2, -3\/107, -0.164?\nAnswer: -3\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14314 and 74.\nAnswer: 1059236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + (-2460)\/18. Suppose 0 = b - 4, 313 = -w + 6*w - 3*b. Calculate the remainder when w is divided by (-3)\/(420\/v - -3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1885660*t - 1885643*t - 476 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 1 + 2 + -2. Suppose a*d + d - 20 = 0. Suppose 0*c - 3*c = -i + 65, d*i + 2*c = 232. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5523 and 110376?\nAnswer: 29028888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*sqrt(216)\/(sqrt(9) + (sqrt(9) - sqrt(729))))\/(-5*(sqrt(12) - sqrt(12)*2)*-4) + 4.\nAnswer: sqrt(2)\/28 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 1, 5, 9, 13, 17?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {j: 2, x: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10470000 rounded to the nearest one hundred thousand?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-1120) + (-39)\/(-20). Put -43, b, 5, -2 in descending order.\nAnswer: 5, b, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 389153578 and 2882?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f\/(f\/(f*f\/(f\/((f\/f**(-5)*f)\/f)*f))))))**(2\/11)\/((f\/(f**(1\/3)\/f))\/(f*f**(-3))) assuming f is positive.\nAnswer: f**(-91\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -683*h - 4971*h - 7352*h - 2405*h to the form w + i*h and give i.\nAnswer: -15411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2299*u + 2303*u - 78 = i, 9*u - 176 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*w - w. Suppose 18 = 3*d + d - 2*k, -7 = -2*d + 3*k. Suppose -w = -c + d. Which is smaller: 4 or c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*d**2)*(0 - 2 + 7 + 0 + 8 - 3 + (-10 + 10 + 4)*(0 - 2 + 0)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135815*d + 140871*d + 257761*d.\nAnswer: 262817*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k = -5 - 366 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 24, -5 in descending order.\nAnswer: 24, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -25346037 (base 8) to base 10\nAnswer: -5622815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 8702 - 8702. Let t(i) = -6*i. Suppose -x + 3*u - 10 = -9, x = u - 1. What is x*t(v) + 4*z(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 46071.175679303.\nAnswer: 46070.975679303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(125) + 0 + -4 + 0 + sqrt(125))**2 - ((sqrt(125) + -1 + -1)**2 + (4*sqrt(125)*2)**2)*-5)*5.\nAnswer: -600*sqrt(5) + 205730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Suppose -j - o*j = 40. What is the remainder when 2\/j + (-135)\/(-12) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.53. Let t = g - 1.33. What is the biggest value in -4, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:45 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10290 and 1542030.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.010165 * 2\nAnswer: -0.02033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31097 is divided by 2580.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (1 + -10 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1314\/(-1022))\/((-120)\/(-28))\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147584.\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133777?\nAnswer: 1133777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38989.46 minutes to seconds.\nAnswer: 2339367.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(1\/2)*h))**(-3\/2))**(2\/9)\/(h**(-2\/9)\/h**(-7))**2 assuming h is positive.\nAnswer: h**(-241\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**9\/22680 + w**8\/5040 + w**7\/3780 - w**6\/540 - 5*w**4\/6 + 40*w. Let b(d) be the third derivative of k(d). Solve b(l) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*y - 25, -6*y + 12*y = l - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 1303*f + 6 - 3292*f + 1523*f + f + 2*f**2 - f + 5*f**2 - 2*f**2 - f**2 + 4*f**2 - 4*f**2 + f**2 + (1 - 1 + 1)*(-f**2 - 2*f**2 + f**2).\nAnswer: 2*f**2 - 466*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -25. Let k = g + 12. What is the closest to 1 in k, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = q - 0*f - 22, q - 22 = 2*f. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16557 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -10*s + 276. Let g be b(27). Let v(y) = -y**2 + 11*y + 2. Let x be v(6). Let -2*p**3 - 4*p**5 + 26*p**3 + x*p**2 + g*p + 6*p = 0. What is p?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16429 = -4*x + 3*i, -41*i = 4*x - 38*i - 16435. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = p - 33, -6*p = 5*n - 7*p + 81. Let k(l) = -3*l - 46. Let b be k(n). Suppose -39 = -b*v - 3*v + 2*y, -2*y = 4. Solve -20 = -3*i + v*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106672492 is divided by 4310.\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-208)\/(-36) - (-4)\/18. Let l be (45\/10 + -2)\/(7\/42). Calculate the greatest common factor of p and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 4163?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10603 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (5 - 16) + -53 + 12 + -8.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 82?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2596*s + 2598*s = 40. What is the greatest common divisor of 228 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 0 - (6 - 7) - (43 - 29).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1054274 divided by 1066\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 211 and 28530.\nAnswer: 6019830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 18*m**2 + 115*m + 154. Let p(n) = 2*n**3 + 35*n**2 + 229*n + 304. Let l(x) = -15*a(x) + 6*p(x). Determine f so that l(f) = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-60))\/((-10)\/2280).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 3*u**2 - 3*u + 2. Let v be g(2). Let i be v\/(-3) + 12\/42. Sort -2\/7, i, 0.1 in ascending order.\nAnswer: -2\/7, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1076 - 1072. What is the smallest value in 3, -3, s, -1.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1185787.07700165 + -1185787. Let w = -0.077 + d. Round w to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0 (c) -9 (d) -1 (e) 0.071 (f) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 8 + 5 + -16 + 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.33694l in millilitres?\nAnswer: 28336.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 355, 0.15, 2.3?\nAnswer: 355","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**6\/24 - o**5\/2 + 5*o**4\/24 + 5*o**3 + 10*o**2 - 29*o. Determine r so that w(r) = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -2311130203?\nAnswer: -2311130201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 16. Let z = h - -7.7. Let l = -3.16 - -0.16. Which is the closest to l? (a) -2 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218815 is divided by 1052.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.21637 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 + g**3 - 3*g**3)*(3 - 1 - 3)*(-4 + 2 - 4).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41916439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 492, 740?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -39*g**2 + 2*g. Let n be (4\/(-12) - 7\/3)*-3. Let b be h(n). What are the prime factors of -1 - (-44)\/36 - b\/18?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976 is divided by 193?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 7. Determine v(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -10, -14, -16, -16, -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520845*j - 520846*j = 3, -3*j = -5*q + 144 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3892 - -3939. What is the smallest common multiple of t and 282?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22, 652, 0.23, -7\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 611068 + -0.28826343?\nAnswer: 611067.71173657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155\/4091 greater than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 51*h. Let u(o) = 10*o. Let v(b) = 2*n(b) - 11*u(b). Let y(j) = 0*j + 0*j - j**2. Determine y(v(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -115*q**5 + 13*q**2 + 6*q + 41. Let y(g) = 116*g**5 - 15*g**2 - 7*g - 42. Let h(t) = -7*r(t) - 6*y(t). Find the third derivative of h(m) wrt m.\nAnswer: 6540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (3 - 9) + 3. Let h be (725000\/(-12))\/((-5)\/(-5760)*s). Round h to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44278\/81 less than or equal to -546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2196 + 2193. Which is the closest to 46? (a) o (b) -1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r*r*r**6*r*r)**(8\/5) assuming r is positive.\nAnswer: r**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4898600269 to two decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = 23*h + 10*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 606614 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 - 116*u - 792 = 0. What is u?\nAnswer: -18, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 7. Let g(s) be the first derivative of -s**2\/2 + 4*s - 1593. What is -6*c(m) - 10*g(m)?\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*v + 29*v - 19*v.\nAnswer: -148*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132229 - 57956. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 36. Suppose -g*v - 4 = -5*v. Solve -f - y = -2, v*f + f - y = -14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 6. Let c be r(-5). Let a(z) = -z**2 + 2*z + 79. Let k be a(10). Sort c, -11, k in ascending order.\nAnswer: -11, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1743818 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -29. Let p be (-1)\/2*k\/2. Let g(z) = -3*z + 14. What is the units digit of g(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**48*(d**(-3)\/d*d)**(-4\/21) assuming d is positive.\nAnswer: d**(-164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*x + 2239 - 123. What is the remainder when x is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276285 is divided by 45957?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8833*x - 229306. What is v(-26)?\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34860*m**3 + 34445*m**3 + 34855*m**3 - 139004*m**3 + 34843*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -421 in 0.1, 21, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Let q(x) = -x**2 - 4. Let z be q(h). Is (0 - 30)\/(6\/z) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70138 is divided by 955.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/12 and (196\/80 + (-77)\/28)*13\/18?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1721 * 0.041.\nAnswer: 70.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-28)\/(-7) + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 6) to base 16\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000712821 to six dps.\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a + 13 - 6*a - 125*a**2 + 123*a**2 - 5*a. Let q be 11*(1 - 1 - 1). Let c be h(q). Solve r = -0*r + c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524*k + 1525 = -556*k + 6069. Solve -k + 157 = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y. Let n be y - (-2 + 1) - -527. Suppose 3*s = 7*s - n. Calculate the greatest common factor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 12*u + 31 - 103 = -0*x + 16*u, 0 = -4*u - 8 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, 2, 0 in ascending order.\nAnswer: 0, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 14*w - 15. Suppose -3*o + 32 = 4*n, -o = w*n + 2*n - 18. Calculate the least common multiple of o and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 674288 divided by -4\nAnswer: -168572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 773044015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 9, 12\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.6785 years in centuries?\nAnswer: 6.056785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14213*h**2 + 3508*h**2 + 61714*h**2.\nAnswer: 79435*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2295117950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4263731.\nAnswer: 4263731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 - -0.06. Let q = 13.58 - 15.6. Let i = r + q. Which is the third smallest value? (a) 0.4 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16060 (base 8) in base 16?\nAnswer: 1c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 419*w**2 - 498*w**2 + 985*w**2 to the form m*w + h*w**2 + l and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + l - 2*l)*(-26204 - 2606 - 11020 + 1555) in the form b*l + h and give b.\nAnswer: -38275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4133*n + 36. Let r be (-12)\/(-8)*32\/6. Let h be c(r). Round h to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 173a1a91 - 3?\nAnswer: 173a1a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121a (base 11) in base 12?\nAnswer: b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3 = n, 5*r + 0 = -4*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -213 != -213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 601989\nAnswer: -1805967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8521 + -5794. What are the prime factors of p?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 107*i + 444. Let w be l(4). Solve -5*f + 41 - 41 = w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, -4\/11, 3\/4, -0.3, -0.5 in descending order.\nAnswer: 3\/4, 3\/10, -0.3, -4\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 1055*f + 87561. Calculate h(421).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09 - -0.0911. What is a rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/9437 or 13?\nAnswer: 16\/9437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 5*n - 13. Let s be p(-7). Let o = 33 - s. Which is smaller: o or -16?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 36 = -106 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1526345, 3052676, 4579007, 6105338?\n\"Answer: 1526331*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9279223*f**3 + 3874308*f**2 wrt f?\nAnswer: 55675338","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b + 5*b + 0*b - 10*b**2 + 10*b.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(192) - ((3 + 1*sqrt(192))**2 + sqrt(192))) + ((sqrt(192) + 1)*4)**2)*6.\nAnswer: 4992*sqrt(3) + 69288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 3. Suppose 5*r + f - 41 = 5*f, 2*f = 4*r - 28. Suppose 2*x = r*n - 27, 4 = n + 1. Give a(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -5 (c) 13 (d) -9 (e) 75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28027 - 27742. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1765?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1500*a - 1500*a - 11*a**2 - 16*a**2.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/20 - 271*v**4\/4 - 541*v**3\/2 - 811*v**2\/2 - 628*v. Find o such that k(o) = 0.\nAnswer: -811, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amyayyymmnm. What is prob of sequence aam?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:20 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 11:45 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22\/3 (b) -7 (c) 1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*z**5 + 5899*z**4 - 113164*z**3 - 57246*z**2 + 248976*z + 187083 = 0.\nAnswer: -1, 123\/76, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -12*c**5 + 447*c**4 - 1755*c**3 + 2415*c**2 - 1293*c + 198 = 0.\nAnswer: 1\/4, 1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1883, 6554, 11225, 15896, 20567, 25238?\nAnswer: 29909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1222*o**3 - 125*o - 52*o**2 + 50*o**2 - 879*o + 174*o wrt o.\nAnswer: 7332*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*l - 60*l - 2*l**2 - 12*l - 6*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6211656 rounded to 3 decimal places?\nAnswer: 11.621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 55*k**3 + 2*k**2 - 2. Let n be a(1). Suppose -3*o = -4*h - n, o + 10 = 3*o + 4*h. Let y = 3 + o. What is the remainder when 46 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/31307 and 31\/250456?\nAnswer: 250456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114970?\nAnswer: 2, 5, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 700*r**3*w**3 + 3*r**3*w**2 - 2*r**2*w - 2*r**2 - 159*r*w**3 wrt r?\nAnswer: 4200*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from nxallwk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s = 20. Let h(a) = a**3 + 8 - 13 + s*a**2 - 2*a + 0. Let n = -2 - 3. Determine h(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003879647 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 19. Calculate t(15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7 + 15*a - 3236*a**2 + 2*a - 31 + 3235*a**2. What is the remainder when b(9) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5265794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**7\/210 - x**5\/60 + x**3 - 6. Let p(u) be the third derivative of r(u). What is the second derivative of p(j) wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24510 divided by -2?\nAnswer: 12255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 3 - 3 + (2 - 2 - 2*j**2)*(639 - 639 - 34*j) - 5*j**2 + 5*j**2 - 3*j**3 in the form a*j**2 + v*j + q + n*j**3 and give n.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 6*d**2 + 7*d + 4. Let r be f(-4). Suppose 0 = -5*x, -r = -4*b + 2*x + 3*x. Let a = b + 51. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4746*42\nAnswer: 199332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l + 73*l + 30 = 143*l. Solve -c + y + 32 = 33, -6 = -4*c + l*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 151 = -10*a. What is the units digit of ((-95)\/a*69)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/(b\/b**(-2))*b)**(-18)\/(b\/(b*b**0)*b*b**(-2)))**(-18))**(-1\/36) assuming b is positive.\nAnswer: b**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 3*z - 5*z)*(3 - 6 + 2 + (1 - 3 + 3)*(4 + 0 - 2)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1652445 - -1652408.00005. Let a = -37 - -74. Let p = a + d. What is p rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 6. Let r be k(6). Suppose 102 = -4*i + 3*q, 2*i + 104 = -2*i + 2*q. Let t = i + r. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-346906.\nAnswer: 34690.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11144631.\nAnswer: 3, 127, 29251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f*f\/(f**3*f)*f*f\/((f*f**(10\/3))\/f) assuming f is positive.\nAnswer: f**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16448 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 37963455.\nAnswer: 37963455.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.915568 rounded to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 0. Let t = 7 + -2. What is the biggest value in t, d, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n. Let c(x) = 3*x. Let k(d) = 6*b(d) + 15*c(d). Let v(u) be the third derivative of -u**5\/60 - u**2. Give v(k(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 118.5036 and -70875704.\nAnswer: -70875585.4964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 179 or 180?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27832832 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8690 in 0.96, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2220*i - 2156*i + 24 = 88 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273991, 547899, 821653, 1095175, 1368387?\nAnswer: 1641211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - q = -15, -6*g + q + 27 = -2*g. Let s = 1 - -6. Calculate the highest common factor of g and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2051 - -2054. Which is the nearest to -2? (a) -1\/9 (b) m (c) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*p + 45, -23*p + 19*p = 3*u - 53. What is the remainder when u is divided by (-4)\/16 - (-132)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 511 + -503. Suppose y*c - 1655 = 409. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/60*(8 + -12 + 1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 76*b**2 - 4*b - 1. Let x(i) = 113*i**2 - 6*i - 2. What is 8*j(h) - 5*x(h)?\nAnswer: 43*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*j**4 - 3 - 3*j**3 - 15*j**4 + 17*j**4 - 28*j**4 - 699*j + j**3 - j**2 to the form y*j**2 + g*j**3 + r*j + s + z*j**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*0*2\/10. Solve q = 5*o + 28 - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.639cm to millimeters.\nAnswer: 2556.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 8:23 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 107\/(-9) + (-1088)\/(-1224)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*t**4\/5 - 15084*t**3\/5 + 90966*t**2\/5 - 142092*t\/5 + 12177\/5 = 0. What is t?\nAnswer: 1\/11, 3, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-2 + (0 - -1)). Suppose x*i + 5*d = 3*d + 28, 3*i + 3*d - 21 = 0. Let c be ((-1)\/2)\/(i\/98). Let p(z) = -z**2 - 7*z - 7. Determine p(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 34*w - 153. Let l be o(-37). Put -1, 0, 3, l in increasing order.\nAnswer: l, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (57\/(-15))\/(1\/(-5)). Let m = 33 - c. Calculate the remainder when m is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -215*25\/(-16250) + (-3)\/30?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 6. Suppose 0*v - v + k = 0. Suppose 2*w = w + 2*m + 108, -407 = -4*w + 3*m. What is the remainder when w is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -37, -60, -83?\n\"Answer: -23*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (40\/36)\/(-10) + 29524\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 4122633130377\nAnswer: -4122633130377.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1534730202.\nAnswer: 2, 3, 227, 375607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4548*v**3 + v**2 - 4548*v**3 - 365 - v**4 as h*v**3 + x*v**4 + u*v + w*v**2 + d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640466.4 rounded to the nearest ten thousand?\nAnswer: 4640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*1)**2 + (3*sqrt(110))\/sqrt(10) + sqrt(11).\nAnswer: 4*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 4*f + 5*f + 3*f**2 + (-6 + 3 + 2)*(0*f**2 - f**2 - f**2) + 2*f**2 + 7*f - 7*f.\nAnswer: 7*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -4)*(-2)\/3. Differentiate 5*f**4 - 5 - 4 + u with respect to f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3584587.\nAnswer: 199, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29\/6? (a) -1 (b) -4\/7 (c) -1\/102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -2*d - b + 6, 4*d - 4*b + 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - g**2 - 2*g + g**2 + 2*g + (-2*g**2 - g**2 + 4*g**2)*(0 + 1 + 1) + g**2 + 3*g - 3*g + (2*g + 0*g - 3*g)*(3*g - g + g) - 5*g**2 - 2*g**2 + 2*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16811384 is divided by 175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by -11.\nAnswer: -138\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 + 4 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3136 - -3135.8. Suppose 3*w - w - 36 = 0. Suppose 2*s - 3*v = -0*s + w, 4*v + 7 = -3*s. Which is the closest to s? (a) l (b) 0 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + 4 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.4584711 - 96766.\nAnswer: -96762.5415289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 65 = 5*k, -2*k - 4*h - 80 = -7*k. Suppose -5*o - 3 - k = 0. Calculate the remainder when 70 is divided by 18 - 0\/o*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 5*c + 15. Let x = c - -2. Let q(g) = -53*g - 1. What is the tens digit of q(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from mnqid.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/7 - 136\/1428. Let q(c) be the first derivative of y*c**3 - 2*c + 4 - 3*c**2. What is q(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llrllzrzllrsslrrlqrr. What is prob of picking 1 z and 1 s?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.94 + -6.88. What is x rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5186 + -2161. List the prime factors of j.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38175949639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 107*a - 1799 - 515 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 291326901 and 1203.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/((-21)\/28). Let a = 6\/259 + -2644\/2331. Is d equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18.66 and 19591639.4.\nAnswer: 19591658.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4945665838?\nAnswer: 2, 19, 977, 133213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 - 61*t**2 - 2 - 2*t**3 - 60*t**2 - 71*t**2 + 184*t**2 - 36*t as q*t**2 + f*t**3 + v*t + c + s*t**4 and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69 + -157)\/((-232)\/(-203)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 5*y = -20, 412*n - 411*n = -5*y + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 9234.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*a - 5*y + 312, -3*y + 391 = -5*a. Let j be 66\/a*(9 + -2). What is the common denominator of 16\/3 and 16\/j + (-18)\/(-72)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17.06. Let z = l - -25.06. Let o = -24.9999948 + z. What is o rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*r - 208 = -252*r + 511*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 6:15 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*r - 144*r - 257*r + 830*r - 145*r - 136*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 9.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2347042?\nAnswer: 2, 1173521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 + 4 = 0. Let n(f) = -3*f - 5. Let w be n(c). Let p = w - -1. Solve -p*t = -3*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/7, 4, 1\/6, 82\/11, -5 in decreasing order.\nAnswer: 82\/11, 4, 1\/6, -3\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 54 + 6. Let q be 16\/i*(2 - -3). Let d(c) = c**2 + 236*c - 233*c - 2 + 0. What is d(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.16516 seconds in minutes?\nAnswer: 0.386086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 1. Let g(x) be the second derivative of -2*x**3\/3 - 4*x**2 + x. Let j be (4 - 1)\/(-4*(-21)\/28). What is j*g(c) - 6*t(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 6\/(1 - -2). Let c = -4 + o. Let u = -4.99 - 0.01. Sort u, c, -0.1.\nAnswer: u, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 1 + (-1 - -35) + -16\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + 69. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78068337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/517335 and 74\/665.\nAnswer: 9829365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-6))\/((-13)\/(156\/56)). Factor 0*n + 0 - 2\/7*n**2 + 4\/7*n**3 - z*n**4.\nAnswer: -2*n**2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.4 and -44.\nAnswer: -149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 14 = -3*c, -3*l = -5*c - 4*l - 20. Suppose 4*p - p + 15 = 0. Let w = p + 8. Put c, -2, w in increasing order.\nAnswer: c, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*z + 128976 = 0, -1132*w + z - 64488 = -1134*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 2*u**2 + 14*u + 8. Let w be j(3). Which is the nearest to 1\/2? (a) 1 (b) -0.4 (c) -1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {n: 4, g: 1, e: 7, r: 1}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/90759 + -6443713\/7986792. Calculate the common denominator of w and -47\/544.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) -4 (c) -5 (d) -424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2816 and 271392?\nAnswer: 2171136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/80 - -1*1\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4*z + 28 = 0, -29 = 4*k - 4*z - 33 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 2*c**2 - 2*c. Let l be y(3). Suppose 4*k - 8 = 2*g, 3*k - l = g + 5. Suppose k*f - 82 = -10. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2157520 and 93\/2896?\nAnswer: 2157520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/17 - 2*w\/17 + 4\/17.\nAnswer: -2*(w - 1)*(w + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 371, 290, 209, 128, 47?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa7 + -170b45?\nAnswer: -17005a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 9*a**3 + 67 - 33.\nAnswer: -9*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2882 + 2880. Suppose w - 3 = -4. Sort 3, o, w, 0 in ascending order.\nAnswer: o, w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*a, -5*a = -w + 129 + 62. Calculate the greatest common factor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -204*r - 1060. Calculate y(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*x + 20224 = 5976 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 9*b**2 + 19*b - 122. Determine r(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3 + 210211*b**2 + 16*b + 106276944 wrt b?\nAnswer: 3*b**2 + 420422*b + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562 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: Is 172996037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*k + 6*j - 315, -315 = -5*k + 5*j. What is the tens digit of (k\/(-6))\/((-9)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123 + -118. Suppose -q*l + 152 - 37 = 0. Calculate the remainder when 24 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*t + 0*t + 14 = 0, 2*y = -2*t + 8. Is (-3 + 493 - -1)\/y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(3\/13)*m)*m*m**4*m**(-3)*m\/((m**(3\/2)\/m)\/m) assuming m is positive.\nAnswer: m**(85\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3348273.6 nanoseconds in hours?\nAnswer: 0.000000930076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-7\/3))\/(x*x**(-1))*x**9\/(x**14\/x*x))**(-7) assuming x is positive.\nAnswer: x**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from nsnsnffqfn.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 1:42 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972556.5 decades to millennia.\nAnswer: 9725.565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74378866507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -361 by -234751.\nAnswer: 361\/234751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 3*i + 10. Suppose 2*j + 1 = i*g + 27, 0 = 4*g + 12. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -338*d**5\/7 - 130*d**4 + 304*d**3\/7 + 1328*d**2\/7 - 416*d\/7 + 32\/7 = 0.\nAnswer: -2, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) 2.68 (c) -15 (d) 2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(288)*-2 + sqrt(288) + -3*4*sqrt(288) + sqrt(288))*-1)**2 + -3.\nAnswer: 73725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663552 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((l\/(l\/(l*l*l*l*l\/l**(-2\/15)*l)))\/l*l)\/l)\/l)\/l**(1\/4))\/(l**(6\/7)*l**9))**(2\/53) assuming l is positive.\nAnswer: l**(-2509\/11130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 911 + -647. Let b = q + -1842\/7. Let b + 4\/7*z - 2\/7*z**2 = 0. Calculate z.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 13. Let y be r(-4). Let n = -0.4 - -0.3. Let j = n - -0.6. What is the third biggest value in j, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/5)\/((-1156)\/(-170) - (9 - 2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58022 and 96748?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t = -9*t - 182 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**3*p*u**2 - 5*m**3*p*u + 39*m**3*y - m**2*p*u**2 - 4*m*p*u**2*y - 3*m*u with respect to y.\nAnswer: 39*m**3 - 4*m*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -11 and -3432\/347 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5 - 7698183*u**4 + 7698201*u**3 + 38490939*u**2 + 23094558*u = 0?\nAnswer: -2566062, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1690 and 85.\nAnswer: 28730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/688*(-4 - (12 + (-20 - -3)))*2.\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2083*0.7.\nAnswer: 1458.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -213, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 22*x. Let g(v) be the second derivative of v**3\/3 + 33*v + 1. Calculate g(a(c)).\nAnswer: 44*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*s + 16*s + 36*s)*(33*s**2 - s**3 + s**2 - 8*s**2) as u*s**4 + w + z*s**2 + x*s + p*s**3 and give p.\nAnswer: 1716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/15)*u**(-8\/5)*(u\/u**(-12))\/u**20 assuming u is positive.\nAnswer: u**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2488\nAnswer: -1\/2488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -531 or 76130?\nAnswer: -531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + (1 - (4 + (6 - 6))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3201 - -7622. List the prime factors of w.\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 4*l + 2. Suppose 2*j + 14 = f, -j - 15 = -5*f - 2*j. Let v be b(f). Suppose 2*h - 68 = 5*r, 0*h - v*r = -2*h + 80. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t + 1. Let k be h(5). Suppose -31*i - 15 = -k*i. Calculate the greatest common divisor of i and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1457 - -4?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46136 and 498152.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**3 + 2*k**2 + 7*k + 16. Let n be q(-2). Suppose n*o + 90 = 47*o. Solve -4*i + p = 6*p + 8, -3*p = -2*i + o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523 (base 7) in base 2?\nAnswer: 1001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82380 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31286694 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 12:07 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 6, 5\/3, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -302*z. Let f(k) be the second derivative of k**4\/6 + 256*k. What is l(f(t))?\nAnswer: -604*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*z - 4 = 0, -2*l + 0*z - 4*z = -16. Suppose c + 5 = -l*q, -5*q - 2 = c + 3. Let t(u) = -u + 8. Give t(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*u + 112*u - 121*u - u**2 as o*u + l + c*u**2 and give o.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 2*h + 2, -3 + 7 = 4*h. Suppose -3*r + 32 = r. Let d = r + s. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:53 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 669477 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 9:41 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -1 + 3 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.599954 + -1.6. What is j rounded to six dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 2*x**4 - 6*x**3 - 20*x**2 - 19*x - 6.\nAnswer: (x - 3)*(x + 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221440 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u - 86. Let d be w(-11). Let n be 68\/3*(d + 1). Calculate the greatest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*t + 74, 3*p = 4*t + 27 + 70. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Let f(v) = -14*v + 255. Let s be f(18). Differentiate -39 + 19*k**s + 26 + 0*k**n with respect to k.\nAnswer: 57*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 7*p - 12. Let c be u(3). Suppose -c*f + 22410 = 27*f. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/11, -0.23, -0.3165?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + i - 2. Let m(p) = 3*p + 1. Let w be m(-2). Let o(a) = -a**3 - 6*a**2 - 5*a - 5. Let l be o(w). What are the prime factors of h(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.088 + -0.488. What is the third smallest value in c, 0.04, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 + -928\/7. Calculate the common denominator of 31\/5 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 10. Let q be l(-5). Which is smaller: -2\/11 or q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*n**3 - 142*n**2 + 66*n**2 + 5*n**4 + 74*n**2)*(3*n - 4*n + 2*n).\nAnswer: 5*n**5 + 66*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 + (-22272)\/(-128) + -36?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/7 - 15\/35. Suppose 11*m - d*j = 6*m + 21, 2*m - 4*j - 14 = 0. Suppose -3*w - 291 = -g - m*g, 2*g - 143 = -w. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 246596*a. Let c(f) = -10*f. What is i(c(y))?\nAnswer: -2465960*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72080.\nAnswer: 2, 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*f - 140 = -174*f + 88*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 + 128 + ((-1 - 7) + 1 - (934 - 990))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -656*d*o**6 + 314*d*o**2 - d - 16*o**6 wrt o.\nAnswer: -78720*d*o**3 - 1920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409*0.3.\nAnswer: -122.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (482 + -207)*(5 - 114\/22)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l + 24. Let x(t) = 144*t. Determine w(x(m)).\nAnswer: 576*m + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/(-1215))\/((-3)\/189)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 87832 = -38560. List the prime factors of s.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyxlxxllyyzllyy. What is prob of picking 1 l and 1 x?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 8:57 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33.8 + 37. Let v = 2.9 - j. Which is the third smallest value? (a) 0.1 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 938 + -941. Let n = 0.4 - 0.3. Which is the nearest to 82? (a) i (b) n (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.734882419 - 0.934884269. Let j = c - 20.8. What is j rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 8, 13, 20?\n\"Answer: c**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4640 and 8990?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 + 2 - 12\/6 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 16, 0, 3, 3351.\nAnswer: 0, 3, 16, 45, 3351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*b**4 - 73*b + 2403?\nAnswer: 104*b**3 - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1117\/1503 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 49.67652 years?\nAnswer: 0.04967652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + 29dff?\nAnswer: 29df4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1019272206 divided by -90249?\nAnswer: 11294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -4*l**2 + 0*l**3 + 0 - 1\/12*l**4 + 0*l. Let w(n) = 3*n - 3*n + 4*n - n. Determine w(b(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 7*v**3 - 2. Let y(c) be the first derivative of 5*c**3\/3 - 3501. Calculate f(y(n)).\nAnswer: 525*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*f + 25 = f, -d = 4*f - 5. Suppose 23*t - 312 = 10*t. Solve d*y - 1 = t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151\/195 - 1\/39. Sort -5, 1, y in decreasing order.\nAnswer: 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -t + 5*g, -2*t + 27 = -3*t - 4*g. Let l = -3 - -75. Let h = t + l. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 3. Let z be d(-3). Suppose 3*x = v - 13, -3*v + 3*x - z = 6*x. Solve -1 = b + v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*v**4 + 2 + 87*v**3 + 131*v**4 - 65*v**4 - 101*v**3 + 3*v + v**2 in the form d*v**4 + i + r*v + m*v**3 + q*v**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 5723323.\nAnswer: 5\/5723323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 13. Let g(b) = 1. Let c(m) = 3*g(m) + u(m). Let a be c(-5). Let j = 31 + a. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 2646*h - 1750329.\nAnswer: -(h - 1323)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {t: 11, e: 3, h: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 3*v**2\/2 + 2424. Let b(d) = -11*d + 4. Determine b(y(i)).\nAnswer: -33*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -764 - 50 - 1414 - 97 - 21*p + 41*p**4 - 2576 with respect to p.\nAnswer: 164*p**3 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((-3)\/36). Let s be (-6)\/(f\/(-35)) + 2. Is (s\/(-6))\/((-3)\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2257 - -2330.2. Is y at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -15*t**2. Let l(k) = -36*k**2. Calculate l(h(f)).\nAnswer: -8100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, 0.3, -5 in increasing order.\nAnswer: -122, -5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -x + 19*x. Let g(y) = -y**3 + 8*y**2 + 12*y - 9. Let m be g(x). Solve 2*d + 3*b + b - m = 0, -2*d = 2*b - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5020\/251*(-1)\/(-4). Solve -9 = -4*b + 4*x + 7, 8 = -b - t*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 336*i + 1203 + 836 - 407 = 0, -3*o = -5*i - 73 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2737, 10927, 24577, 43687, 68257, 98287, 133777?\nAnswer: 174727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 6*c + 1. Calculate the remainder when (-18)\/4*((-1014)\/(-9))\/(-13) is divided by t(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/((f*f**6)\/f))\/(f*(f*f**(-3)\/f)\/f)**(-19) assuming f is positive.\nAnswer: f**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -91*0.006\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69478?\nAnswer: 2, 34739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -911.\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655 is divided by 88.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -8 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**4)\/(r\/r**5)*(r*r**(2\/7))**21)\/((r*r\/(r\/((r*r**(-2\/7))\/r*r)*r)*r)**6\/(r\/r**(-2\/3)*r*r**(-3)*r)) assuming r is positive.\nAnswer: r**(554\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*c + 6 = -151, 3*w = 2*c - 495. Let l = w - -286. Let r = 127 + -86. What is the highest common factor of l and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1946, -1324, -702?\n\"Answer: 622*g - 2568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**5 + 4*a**3 - 2. Suppose 3 = z - k - 3, 0 = 3*k + 9. Let j(c) = 1 + c**2 - c**4 - 6*c - c**z + 6*c. Let n(d) = b(d) + 2*j(d). Factor n(y).\nAnswer: -2*y**2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g - 5. Put -0.2, 5, g, 2\/15 in ascending order.\nAnswer: g, -0.2, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -275*n**2 + 87 wrt n?\nAnswer: -550*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34806*a**2 - 18495.\nAnswer: 69612*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.314 - 0.036. Let g = q + 0.25. Let d = g - -0.1. Put d, -1\/5, 3\/2 in ascending order.\nAnswer: d, -1\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.213 + -0.187. Sort 0, -5\/3, -23\/4, g in increasing order.\nAnswer: -23\/4, -5\/3, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/60 + 5*p**4\/24 - 5*p**3\/3 - p**2. Suppose 0 = a + 2*a + 24. What are the prime factors of x(a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20814562 is divided by 6938179.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27ee0 (base 16) in base 15?\nAnswer: 336d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l - 13. List the prime factors of y(19).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 493, -5741, -2, -3 in descending order.\nAnswer: 493, -2, -3, -5741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 20 - 84. Let m(v) = v**2 - 2*v - 7. What is the smallest common multiple of m(5) and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/240 - 15*j**5\/8 + j**2 + 1474. Factor x(q).\nAnswer: -q**2*(q + 225)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrtcgrrrrrrrvcrcttr. Give prob of sequence vtg.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 - -0.8?\nAnswer: -159.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u - f = 0, 0 = -u - f. Let t = u + 9. Solve 0 = -0*q + 3*q + t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7521 less than -189645?\nAnswer: -182124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2.2 (b) 3.8 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 9) + 16 + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**6\/6 + v**5\/4 + 4*v. Suppose g(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z - 47. Let n be v(-10). Solve -a = -3*g + 9 - 1, 0 = -n*g + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlddyddlgdglmdldd. Give prob of sequence my.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -129, -1075, -3641, -8637, -16873, -29159, -46305?\n\"Answer: -135*r**3 - r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 4*g + 7*g - 2*g + 2*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1296b57 (base 13) to base 5\nAnswer: 2443412212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/255 - -472\/4845. Let x = -3349 - -3332. Sort -0.04, m, x, -0.4.\nAnswer: x, -0.4, -0.04, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, b: 2, a: 2, w: 2}. What is prob of picking 2 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 132 + -137.3. Let f = -5.708 - o. Let q = 0.4 + f. Round q to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 633338 and 1559141.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -2*u - q, 4 = 4*q + 8. What is the highest common divisor of 24 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/8)*h**(-6)*h*h)**(1\/2) assuming h is positive.\nAnswer: h**(-23\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - 1 + 1 + (-8 + 3 + 2)*(3*i - 5*i - i).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**4 + 2601*k**3 - 3216*k. Let f(o) = -3*o**4 + 7798*o**3 - 9648*o. Let g(r) = 4*f(r) - 11*l(r). Find the second derivative of g(s) wrt s.\nAnswer: -12*s**2 + 15486*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -28. Solve 0 = x + 5 - h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (9 - (-15 + 18 + (-1 - 0))) - -19.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -358069936 or -358069934?\nAnswer: -358069936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1767350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 32. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6313 = 17*k - 6364. Let x(t) be the first derivative of 0*t**5 - 30 - 2\/3*t**6 + 8\/3*t**k - 8*t + 4*t**4 - 6*t**2. Factor x(l).\nAnswer: -4*(l - 2)*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1608566*d**2 + 804284*d**2 + 804342*d**2.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 5. Let i be 0 + f + 0 + 4. Let t(y) = -3 - 2*y**2 + y + 2*y + 7*y**i - 2*y**3. Let v(c) = -9*c**3 + 3*c**2 - 5*c + 5. Give 5*t(k) + 3*v(k).\nAnswer: -2*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z**3 - 2*z**2 - 2*z - 1. Let s be q(-1). Suppose -s*y - 2*a + 146 = 0, -4*a = 3*y - 85 - 11. Solve 0 = 4*d - 4*c + y, d - 2*c + 0 + 9 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1192136 divided by -5.\nAnswer: -1192136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(1 + 2 - 1) + 0 - 4 + 1)*(-g**3 + 0*g**2 + 0*g**2).\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 17*o**2 + 7*o - 3. Does 6 divide x(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3337.227 - 3307.9. Let b = 29.2 - p. Let q = b + 0.1269877. What is q rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03397071851 to six dps.\nAnswer: -0.033971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(49))\/sqrt(7).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (1 - (-5)\/1). Let l(s) = -s**3 - 21*s**2 - 14*s + 13. Let u be l(-20). Let q = u - -111. Solve -y + q = k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783798258.\nAnswer: 2, 3, 89, 1467787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -3*l + 207*h - 203*h - 26, -49 = l - 3*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c + 4*c + 0*c + (1 - 14 + 8)*(3*c - 7*c + 2*c) in the form z + j*c and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6951*y + 13598. What is q(-2)?\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 181*t**2 - 95*t**2 - 92*t**2 + 6 - t**3. Suppose 0 = -5*d - u - 31, -2*d - 17 = -0*d + 5*u. Is o(d) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1535*l - 3580*l - 332*l - 6.\nAnswer: -5447*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17641849, 35283696, 52925543, 70567390, 88209237?\nAnswer: 105851084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -217*g + 1. Let w(q) = 14*q**2 - 9114*q + 42. Let a(u) = -42*m(u) + w(u). Let j(f) = -1234*f**2. Determine j(a(p)).\nAnswer: -241864*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-1))\/(51840\/(-200448))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5 - 5. Let o be 104\/1014*3\/(-2). Which is the biggest value? (a) o (b) 4 (c) n (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5427, 5237, 5047?\n\"Answer: -190*l + 5617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s. Let x be -254*((-6)\/4)\/3. Let t(b) = 2*b - 172*b - x*b. What is v(t(z))?\nAnswer: -297*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495961 and 16199?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -323 + 44253434?\nAnswer: 44253111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)*o*o**(7\/6))\/(o\/o**(-1\/2))**(-3\/16))**(-12\/7) assuming o is positive.\nAnswer: o**(-211\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10988*u - 32446 = -666*u + 561908 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 + 25*c + 7. Is 7 a factor of a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 35\/(-5) + -13 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 10*f - 6. Let u = -18 + 10. Calculate the remainder when 28 is divided by h(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 360*d**2 - 416124*d + 8948544.\nAnswer: 3*(d - 304)*(d - 22)*(d + 446)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90581 and 4169?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 9*n = -300. Let f(p) = n - 29 - 31 + 18*p**2. Let r(t) = 2*t - 2*t - t - t. Give f(r(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 11\/(-33)*18 - (-16)\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -14*c - 2. Let b be z(-1). Factor -b*a**2 + 3*a - 16*a**3 + 0*a**3 + a.\nAnswer: -4*a*(a + 1)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a year in months?\nAnswer: 177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/4 and 49\/260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/7)\/(-9*(-1)\/(-3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 + 36 - -22 - 15.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 27, 3, -31, -75, -129, -193?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -457203.9 times 18?\nAnswer: -8229670.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (2 + (2 - -8) - (404 + -393))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 + 794*g - 10264. Let b be y(251). Factor 0 - 66*l**2 - b*l + 15\/4*l**3.\nAnswer: 3*l*(l - 18)*(5*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a - 9. Suppose 0 = 4*v - 7*v + 45. Let t(n) = -n**2 + 16*n - 14. Let i be t(v). Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b*v**5 + 13*b*v**2 - 236*b*v + 1 wrt v.\nAnswer: 140*b*v**3 + 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 19*f**2 + 44*f - 15. Determine i(21).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*r**4 + 4*r - 131*r**2 + 2 + 128*r**2 - 6*r as l*r**2 + h*r + t*r**3 + k + d*r**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*(-1170)\/(-378)\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 455*h + 22050.\nAnswer: -5*(h - 35)*(h + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6397034, -12794066, -19191098, -25588130, -31985162, -38382194?\nAnswer: -44779226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2699, 2700, 2701?\nAnswer: 2702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 1504.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 1ca1?\nAnswer: 1ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 522 - 516. Let g = -18 + 16. Put -1, 5, g, o in increasing order.\nAnswer: g, -1, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.65 - -0.7. Let w = -1.05 + g. Let y = 0.3 - -0.2. What is the nearest to w in 2\/7, 3\/5, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43fa2af + -7?\nAnswer: 43fa2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001066 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1 - -5) + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1255.3 + -2.05115\nAnswer: 1253.24885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 2:22 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1817 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 24, 22, 20, 18?\n\"Answer: -2*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + 0*k)*(k + 5*k - 4*k + 5*k - 3*k - 4*k - 2 + 2 - 2*k + (-2 + 3 - 3)*(-1 + k + 1) + 6*k - 2*k - 3*k + 2 - 2 - k - 2*k - k + k + 0*k + k - 2*k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/8 + 4*(-22)\/352.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from mppuuqduu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 2*x + 24*x**2 - 1 - 53*x**3 - 16*x**2 - 4*x**2 - 8*x**2 to o*x**2 + d*x + v*x**3 + g and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2368.3 - -2368. What is the closest to -4\/3 in -3, -1\/14, s, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165630 (base 14) to base 3.\nAnswer: -1110210102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 26.6. Let x = -1.8 - b. Which is bigger: x or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 304080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 900\/(-8100) - -3*57\/81?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z**2 - 122*z - 2. Let x(s) = 7*s**2 + 123*s. Let r(t) = -5*x(t) - 4*y(t). List the prime factors of r(-38).\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31755.3843 to the nearest 10.\nAnswer: -31760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.8 + -65.2. Let d = 182 - 252. Let f = d - r. Which is smaller: 9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57624 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(105\/50)*(-28)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*o + 14. Suppose 2*p + 16 = -o*b, -p + 7 = -2*b - 3. What is the derivative of -2*h**2 - 3 + 2*h**p + 3*h**2 + 0*h**2 wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 6*n + 3. Suppose 7*u - 10 = 11. Let l(f) = 2 - 4*f - 5*f + 4*f. Let p(y) = u*l(y) - 2*r(y). What is the second derivative of p(a) wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 - -323. Let d = y + -73. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*r**5 - 2*r**3 - r**2 - 95*r wrt r.\nAnswer: 480*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 42*r**2 + 41*r. Let y be q(-41). Suppose -6 = -u + p, 0 = -u + 5*p - 5 - 1. Sort 1, u, y.\nAnswer: y, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/5 (b) 7 (c) -0.1 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39655 - -8?\nAnswer: -3964b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -7*d, -3*c + 297 = -2*d. Calculate the greatest common factor of 396 and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 97172?\nAnswer: -19\/48586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 10*d**2 + 196*d - 2620. Let o = -48 + 80. Calculate the smallest common multiple of y(12) and o.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 1039*t + 167780. What is r(839)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -46. Which is the closest to -2\/9? (a) 1 (b) o (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2034 + -3?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 + 38 = p - 23 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/5*(-1462)\/6579)\/((-34)\/(-20)).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**4\/12 + n**2. Let m(o) be the first derivative of 0*o**2 + 65 - 11\/3*o**3 + 0*o. What is g(m(q))?\nAnswer: -22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -7117.16 to the nearest 10.\nAnswer: -7120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**3 - c + c)*(4*c + 0*c - 2*c) - 5*c**4 - 26 + 26 - 747*c**4 - 249*c**4 - 258*c**4 to h*c + z + q*c**4 + i*c**3 + t*c**2 and give q.\nAnswer: -1257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**4\/44 + 10*r**3\/33 - 17*r**2\/22 + 8*r\/11 + 39. Determine a, given that o(a) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2079869, 2079873, 2079877, 2079881, 2079885, 2079889?\n\"Answer: 4*n + 2079865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402*r - 408*r = -12. Suppose 4*x + 2*b = -0*x + r, 4*b = -x - 17. Factor 0 - 4\/7*o**2 - 2\/7*o**x + 0*o.\nAnswer: -2*o**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)*h)**(-33)\/(h\/h**2*h**(-1)))\/(h**(-1)*h\/((h\/(h**2\/h))\/h)*(h*h\/h**(-2\/7))**4) assuming h is positive.\nAnswer: h**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/56184 and 71\/84.\nAnswer: 393288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 11*v + 12. Let h be d(10). What is the third derivative of 3*i**2 + 0*i + 0*i - i**h - 2*i**5 wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 66\/643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11426 (base 9) in base 16?\nAnswer: -1dd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/162*(-88)\/(-154)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2267745 and 33288?\nAnswer: 4161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -134013410?\nAnswer: -134013404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a - 3. Let u be p(-3). Let k = u + 3. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 14. Let x be g(-5). Let d(p) = p**3 + x - 13 - 4*p**2 - 5*p + 0*p**3. Determine d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.84 + 229.\nAnswer: 223.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22*(-36)\/4620)\/((-8)\/84)*-55?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:31 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f. Let i(l) = -4*l**2 + 344*l + 1. Give i(r(q)).\nAnswer: -36*q**2 + 1032*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-3)\/12)\/1. Which is greater: h or -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 49 - 47. What is the remainder when u is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 167 = 5*n, 0*m - 2*n + 202 = 3*m. Let g(h) = h + 22. Let t be g(-10). Suppose -4*y = -t*y + m. Calculate the highest common divisor of 20 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from stttttstttttttst.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 - 8. Let o(f) = 51*f**2 - 13*f + 27. Let c(a) = -23*a**2 + 6*a - 13. Let t(b) = 13*c(b) + 6*o(b). Calculate 5*t(n) - 6*u(n).\nAnswer: -n**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhdmyhhhuffuuu. Give prob of sequence dyf.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y - 24. Let p(s) = -31*s + 74. Let i(n) = 2*p(n) + 7*q(n). Calculate i(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10097 and 7902?\nAnswer: 181746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z**2 + 6. Let w be (-1)\/2*(-24 - 106). Let n(u) = 120*u**2 + 65. Determine w*k(l) - 6*n(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-203 + 198)\/((-5)\/4). Which is the third biggest value? (a) -31 (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e845 (base 15) in base 16?\nAnswer: -bfdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -21. Which is the smallest value? (a) -5 (b) h (c) 1\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-32))\/((-21)\/12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p**2 + p + 1980. What are the prime factors of i(0)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 + 2428 = -98*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 327\/36 - 6\/72. Let k(n) = n**3 - 2*n - 1. Let d be k(2). Calculate the greatest common divisor of d and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210202120121 - 11?\nAnswer: 210202120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.61389mg in grams?\nAnswer: 0.00961389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*b + 3*u - 51, -420*u + 1 = -422*u - 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 5625?\nAnswer: 4\/1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eweerrrerererwrrew. Give prob of sequence wrww.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13007 = -12*c + 14966 - 6757. List the prime factors of c.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 245756388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + l**2 - 2*l - 1. Let h(y) = -991*y**3 - 7*y**2 + 14*y - 2737. Let i(k) = 14*a(k) + 2*h(k). Differentiate i(n) wrt n.\nAnswer: -5862*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -23*s. Determine p(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 23672456.04 to the nearest 100000.\nAnswer: 23700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - 3*n**2 + 4*n**2 + (167 - 10 - 20)*(-n**2 - 3*n**2 + 2*n**2).\nAnswer: -275*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1214131 + 2?\nAnswer: -1214124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93679.23 litres to millilitres.\nAnswer: 93679230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) 2.1 (c) -0.26 (d) -1 (e) 3 (f) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/593 and 55\/433483.\nAnswer: 433483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -190677185.\nAnswer: -381354370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11703 and 0.1?\nAnswer: 1170.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 14*z**2 - 3*z - 31. Let q be j(-14). Suppose -3373 + 238 = -q*a. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(sqrt(44) + (sqrt(44) - (1*sqrt(44) + sqrt(44) + sqrt(44)))))\/(-3*sqrt(4)*2) - ((2*sqrt(396) + -2)*-2 + 4)**2.\nAnswer: -6395 + 1151*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1198*-0.01\nAnswer: 0.001198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1573*l - 1531*l = 1512 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5 - 31*w**4 - 1467*w**3 + 54351*w**2 - 267894*w = 0?\nAnswer: -41, 0, 6, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 5*q**4 - 2*q**4 - 3*q**4 + 0*q**4 + q**4 + (q**4 - 3 + 3)*(2 + 0 + 1) + (-3*q + 2*q + 0*q)*(-q**3 + 3*q**3 - q**3) - 3*q**4 + 2*q**4 + 7*q**4.\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -15. Let b(o) be the first derivative of -o**4\/4 + 4*o**3 + 15*o**2\/2 - 13*o + 5. Calculate the remainder when b(13) is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 5*m + 26. What is the tens digit of i(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323859?\nAnswer: 3, 41, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/11 (b) 2\/19 (c) -55 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - t - 22, 585*t + 154 = 3*i + 544*t for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027?\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + 1310502?\nAnswer: 1310453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:04 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11564 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2622\/(-39767))\/((-3)\/(-247)) + (-11)\/(-2)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*h + 29 = 0, 5*k - 31 = 3*h - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 304663 and 609.\nAnswer: 185539767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 686 (base 11) to base 15\nAnswer: 39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l - 5. Let b(y) = 7*y + 10. Let n(c) = -3*b(c) - 5*g(c). Let o be n(-9). Let t = 4 - 3. Solve q + o = -t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 64798?\nAnswer: 388788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 divided by 27?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v - 92 = 76. Let y(l) = l**3 + 5*l**2 - 8*l - 11. Calculate y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 + (-32)\/(-18). Let z(x) = 2*x - 3*x + b*x + 2. Suppose -2*f - 17 = 3*t + 8, -20 = f + 3*t. Calculate z(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 633026 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077883584 a multiple of 5390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - f + 37*f**3 - 3*f in the form r*f**3 + b*f**2 + y*f + a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -88. Let d be (-38)\/(-6) - (-1)\/(-3). What is the greatest common factor of o and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 18 = 12*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 51*j + 152. Let g be d(-3). What is the second biggest value in g, -0.01, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -555, -571, -583, -591, -595, -595, -591?\n\"Answer: 2*j**2 - 22*j - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) - (-35)\/14. Let w(z) be the third derivative of -1\/90*z**7 + 0*z + 0 + 2*z**u - 1\/72*z**6 + 0*z**3 + 0*z**4 + 1\/90*z**5. Factor w(q).\nAnswer: -q**2*(q + 1)*(7*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/623508 and 4\/111.\nAnswer: 23069796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, 4\/9, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6103*d = -6095*d + 48. Let q(v) = -v**3 - 6*v**2 + 2*v - 4. Determine q(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**6\/75 + 2*k**5\/25 + k**4\/30 - 2*k**3\/5 + 2*k - 24. Find b, given that o(b) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 13*z - 12. Let d be j(-13). Let m = d - -10. Let i = 37 - m. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 410 and 5360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**6\/120 - 4*n**5\/15 - 5*n**3\/6 - 32922*n**2. Let h be (-3)\/((-19)\/(-16) - 1). Determine d(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111 (base 2) in base 6?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -21.9, 2.3, -0.5, 2, 10 in ascending order.\nAnswer: -21.9, -0.5, 0.3, 2, 2.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 41194032713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n + 3. Give k(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 9514616348.\nAnswer: 9514616347.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 709964?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -248053460 divided by 729569\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 330 and 231.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 526*y - 262*y + 3 - 263*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1021.65.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 375200138\/7 - (-6)\/21. Suppose 2*m + 2*m + l = 5*r, -m = 5*r + 13399980. What is m rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.13 (b) -5 (c) -2\/5 (d) -106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 6*g**2 - 7*g + 4. Let u be d(-7). Let n(b) = b + 32. Let a be n(0). Calculate the highest common divisor of u and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16554.79647 + 16555. Round s to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = 114. Let j be ((-4)\/(m\/30009))\/(4\/3). Let i = j - -2517. Find the common denominator of 31\/18 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 52*g - 162. Let o be f(47). Let c be 5567\/(-21)*(-3)\/2. Let j = o + c. What is the common denominator of j and -51\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1171, 1181, 1191, 1201, 1211?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -444, -436, -428, -420, -412?\n\"Answer: 8*l - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -36911.\nAnswer: -36911.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22527298 is divided by 968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5*c**(2\/3))\/(c*c**(-2\/5)*c*c**(-2\/23)*c))**11 assuming c is positive.\nAnswer: c**(11968\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -39.255 - -3\nAnswer: -36.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 91.29146 kilometers?\nAnswer: 91291460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32422747363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 550130 greater than or equal to 550127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -44 and -101703?\nAnswer: 101659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3840597, 3840589, 3840581?\n\"Answer: -8*q + 3840605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(170)\/(sqrt(60)\/sqrt(96)) + 1 + -1.\nAnswer: 1 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -13*q**3 + 105*q**2 + 103*q - 1. What is t(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2. Let m(o) = 7*o**2 + 3*o + 2. Let t(z) = m(z) + 5*q(z). Let v be t(-2). Solve 0 = -5*h - v*s - 45, -h - s - 13 + 3 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/10 + (-44)\/5. Let f(j) = -j**2 - 11*j + 17. Is f(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d + 2*d - 5*d)*(-1082 - 1337 + 872).\nAnswer: 18564*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 543, 2186, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 14.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2460 - 2460. Solve 4*j + 20 = l, 3*q + 0*j + 16 = -5*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49703507 is divided by 37259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 321283 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98964?\nAnswer: 2, 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n - 89 = -5096 + 207 for n.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1539))**2*2 - (((-3 + sqrt(1539))**2 - sqrt(1539)) + -1).\nAnswer: 63*sqrt(19) + 47701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -13022301224?\nAnswer: -13022301221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 414 and 61086.\nAnswer: 4214934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 6*i + 13. What is the remainder when 28 is divided by t(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 2947*h - 77284. Determine z(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 16 = 4*o, 5*o - 19*a + 24*a = 25 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46872*13.\nAnswer: 609336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.131*0.4.\nAnswer: 0.0524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*t + 5, 4*c + 42 = -t + 25. Is t greater than 1.83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1)\/((-4)\/(-10)). Suppose -3*d + 0*d = 4*o - 23, g*o - 2*d = 0. Solve o*j + j - 37 = -5*b, -b = -j - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11*s**3 + 18*s**2 + 23*s - 2. Let t(d) = 7*d**3 + 12*d**2 + 15*d - 1. Let f(c) = 8*t(c) - 5*y(c). Let w be (-16)\/(-6)*(-3)\/2. Is 8 a factor of f(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 197*m**2 + 931*m - 15956. Let a be y(-202). Factor 16\/11 - 6\/11*o**a + 2\/11*o**3 - 12\/11*o.\nAnswer: 2*(o - 4)*(o - 1)*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -43, -51, -41, -7, 57?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2727219 + -9?\nAnswer: 2727210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325106569.\nAnswer: 10247, 31727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in minutes?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, -4\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/7 or 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 2, s: 2}. What is prob of sequence src?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 20*t + 37. Let f(v) = -v**2 + 41*v + 80. Give 13*b(x) - 6*f(x).\nAnswer: -7*x**2 + 14*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35533372697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 1 + 3)*(0 - 1 + 3) - 33 + 5 + 9)*(-104 - 42 - 14 + 10)*(0*c - 2*c**2 + 0*c) as z + t*c**2 + d*c and give t.\nAnswer: -5100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.0340299 rounded to two decimal places?\nAnswer: -28.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(18)*-5))\/(3*sqrt(24)\/sqrt(3)*3))**2.\nAnswer: 1\/6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17511 + 9067 = -317*t - 847*t - 14162 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -3) + (-9 - -31). Let m = o + -12. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2008)\/(-6) + 2\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, y: 3, j: 5, r: 5}. What is prob of sequence yjy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*v + 243 - 127 - 116)*(-2 + 4 + 11).\nAnswer: -377*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 1:21 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y. Let u(v) = 170*v + 3. Calculate u(j(h)).\nAnswer: -850*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1218861 - 0.1.\nAnswer: -0.2218861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - g**4 - 5 + 3)*(-650 + 787 + 2039)*(-3 - 2 + 3)*(-3 - 1 + 6) as v*g + f*g**4 + s*g**3 + j + o*g**2 and give j.\nAnswer: 26112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4316180*h**2 + 42*h + 27550 wrt h.\nAnswer: -8632360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -30.2. Let o = 4 + k. What is the smallest value in -5, 3\/2, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Round 5009.867 to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 41631 = 4*s + f, 2*s - 20823 = 3*f. What is the hundreds digit of s\/36 - 2\/(-1)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00823508366 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from ejqqjqqeee.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120634 (base 9) to base 12.\nAnswer: -36094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 4, -4 in increasing order.\nAnswer: -4, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 205, 0.6, 34, 13, 0.7 in ascending order.\nAnswer: 0.6, 0.7, 13, 34, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 + 22*c - 13*c**2 - 13*c**3 - 6*c**3 + 4*c**2.\nAnswer: -19*c**3 + 22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(119)\/(sqrt(63)\/(-3*sqrt(9)))*-4.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*k - 9 = 0, 0 = -8*c + 9*c + 4*k - 3. Solve -c*l - 24 = -9*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 5*y**2 + 20 + 14 - 40.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 222 - 134. What is the remainder when u is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 2*n**2 + 31*n + 2. Let w(j) = 2*j**3 + 3*j**2 + 32*j + 3. Give 3*s(y) - 2*w(y).\nAnswer: -y**3 + 29*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -81, 2, -18, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 894*-1\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 2. Let c(v) = -v + 1. Give 3*c(u) - x(u).\nAnswer: -5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 2. Let a be 2\/9 + (-1254)\/54. Let q = -15 - a. Calculate the smallest common multiple of t(q) and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517034 is divided by 163?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1104 + -1104.1. Which is the third smallest value? (a) 1\/2 (b) i (c) -3\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9371696, 9371695, 9371694, 9371693?\nAnswer: 9371692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 + 122?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(10\/(-3) + (-57 - -64)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/3)\/((-8)\/12). Suppose s*g - 5*g + 12 = 0. Solve -3*u - 8 = g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 - 7*x - 3. Let h be n(3). Suppose -k - 13 = 3*m + 19, -h = 2*m + 3*k. Is 12 a factor of 0*(-2)\/4 - m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*c - 118*c = d - 209, 0 = 4*c + 4*d - 224. Solve 3*y + 5*h + 14 = c, -3*y + 5*h = 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2273784 and 41\/18.\nAnswer: 6821352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -a957d (base 16) to base 5\nAnswer: -134144004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 578109469 to the power of 1\/2, to the nearest integer?\nAnswer: 24044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67528136 a multiple of 1079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*f**2 + 26791*f + 54005753 wrt f.\nAnswer: -52*f + 26791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 times 0.4?\nAnswer: 516.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u + 2 + 20*u**2 + 3 + 6. Let i(c) = -7*c**2 + 2*c - 4. Suppose -z = -21 - 0. Suppose 5*w + 106 = z. Give w*i(s) - 6*a(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*y = -570, 2*s - 9*y = -7*y + 404. Calculate the least common multiple of s and 46.\nAnswer: 4508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31070 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431815870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = 3*j + 55. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f + 1416 = 99*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 840962287 to the power of 1\/3, to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Let k be i\/4 - 70\/(-4). Suppose -5*d + k = -57. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1341\/17 + 79. Let i be (-4)\/22 + 765\/1122. Which is the third smallest value? (a) -4\/5 (b) i (c) -2\/3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1573) + sqrt(1573))**2 + -1 + sqrt(1573).\nAnswer: 11*sqrt(13) + 14156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 22 = 2*y, -4*y + 6 = 3*a + 28 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o - 7 = -c + 33*o, -c - 8*o = -11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 + 198 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 8, 292, 13, 4.\nAnswer: -2, 0, 4, 8, 13, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 944*x - 3786. Let y be p(-4). Solve 3*r - y = -10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -2\/5, -3038, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.54707mg in grams?\nAnswer: 0.04154707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 4)*1\/(25\/195). What is the highest common factor of 39 and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4387000 to the nearest 100000.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 11.96. Let o = p - -0.04. Let w = -36496.6 - -36497. Which is the second biggest value? (a) -0.4 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 35 = -5*x - 0*l, -4*x = -5*l + 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.1337 and -0.15.\nAnswer: -1.820055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 9*w**2 + 12*w + 24. Let b be p(-10). Suppose 0*l - 624 = -5*n + b*l, 4*l - 144 = -n. Let z = n - 71. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 2\/9*z**3 - 16*z + 0*z**2 + 1\/3*z**4 - 13. Let y(l) be the first derivative of s(l). Factor y(r).\nAnswer: 4*r*(3*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/6 and 55\/2624.\nAnswer: 7872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**2 + 18*v + 6. Let x(w) = -15*w**2 + 39*w + 13. Let g(h) = -13*b(h) + 6*x(h). Let j(o) = -70*o**2. Give g(j(l)).\nAnswer: 4900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -143032230 (base 5) to base 12\nAnswer: -303366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3568 - 3568. Suppose -3*d + 15 = -5*q, 0 = -2*d - q + 1 - 4. Suppose v + z*v = d. Solve v*w = w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 + 107378\nAnswer: 107378.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5 + 2*d - 6*d**2 + 3 - d**3 + 1. Let v(s) = s**2 - 202*s + 9711. Let x be v(123). Calculate w(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -28. Suppose -f + 0 = 2*m. Let q be (1 + 2\/1)*-1. Is q at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000110111100101010 (base 2) to base 12\nAnswer: -3336b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71.31 + -73.31. What is the biggest value in 4, -3\/2, 0.2, -2\/21, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 1\/6 (b) -2\/9 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -242688473*q. Let r(i) = i**2. What is r(y(w))?\nAnswer: 58897694927071729*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -1239\/83 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -19. Suppose 5*m = 4*a - 1 + 11, -8 = 2*a - z*m. Let r = -130\/7 + 499\/28. Which is bigger: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 - 63. Let r = z + -24. Find the third derivative of 78*s**2 + s**6 + 11*s**6 - 81*s**r wrt s.\nAnswer: 1440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552302?\nAnswer: 2, 276151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j - 8 + 61*j + 8.\nAnswer: 53*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -23*b + 166. Let n be o(7). Let q(u) = -53*u + 267. Let p be q(n). Put -4, p, -12, -5 in ascending order.\nAnswer: -12, -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 14 = 2*b + 5, 2*p + 9 = -3*b. Let y = p + -2. Let m(a) = a**2 - 16*a + 18. Let z be m(15). Solve -2*d - z*t - 19 = 0, 2*t = 2*d + 5 - y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8140 and 53\/3031965.\nAnswer: 133406460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/4, 2.1, -20 in decreasing order.\nAnswer: 2.1, 1\/4, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23354, -46515, -69676, -92837, -115998?\nAnswer: -139159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 664*l**4 - 1547*l**2.\nAnswer: 15936*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -241*u**2 + 3. Let x(c) = -1444*c**2 + 19. Give -19*o(d) + 3*x(d).\nAnswer: 247*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 619 + -394. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 128. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Suppose 2*w - 186 = -4*q, -16 = -k*w + 2*q + 164. Calculate the remainder when w is divided by (-4)\/30 - 467\/(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 123*q**2 - 4811*q**3 + 2*q**4 + 2*q + 4809*q**3 to i*q**4 + l + a*q**2 + s*q + f*q**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*((5*-2*sqrt(475) + sqrt(475) - sqrt(475)) + 0))**2.\nAnswer: 1187505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/9717264 and 75\/1079696.\nAnswer: 9717264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14581 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -4*w. Let y be 61 + (w - 0 - 2). Let f = y + 7. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*21\/(-28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 6*h**2 + h**2)*(108*h**2 + 107*h**2 - 205*h**2) - 4*h**4 - 88*h**3 + 94*h**3 + 7*h**4.\nAnswer: -27*h**4 + 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 34*z**2 - 2. Let d(h) = 5*h**2. Calculate b(d(o)).\nAnswer: 850*o**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n)\/((n*n*n*n*n*n\/n**(-2\/13)*n)\/n) assuming n is positive.\nAnswer: n**(-28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -0*o + 5*o + 3*p, -4*p = o - 28. Let n = o + -27. Solve 5*m - n = -5*b, 2*m = 3*b + 2*b - 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -0*l + g, 20 = 4*l - g. Let r(n) = -8*n**2 + 6 + l*n + 3 - 3 - 3*n**3. What is the units digit of r(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 73, 40, -15, -98, -215, -372?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 - -11. Let k = -10734772 + 10734690.99943. Let y = k - c. Round y to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(102)\/(sqrt(96)*-2))**2 + 1 + sqrt(1377) + 3) + -5.\nAnswer: -54*sqrt(17) - 979\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 0 + 0*h + 0 - 3*h - 4. Let b(f) = 2*f + 2. Suppose 50*y - 47*y - 15 = 0. Determine y*b(i) + 3*r(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5361525 and 799.\nAnswer: 91145925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -42. Suppose -r*y + 210 = -3*y. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 66980.\nAnswer: -1\/13396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = s + s - 5, -3 = 3*w. Suppose s*k + 2 = -m, -2*m + 3 - 10 = k. Solve -2*j = k + 1, -5*l = 3*j + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22671490 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 + (-8)\/6*630\/(-120). Let s(n) = -10*n**3 + n**2 + 3*n - 3. Let m(l) = -19*l**3 + l**2 + 5*l - 5. Calculate v*s(x) + 3*m(x).\nAnswer: -7*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425207, -425200, -425197, -425198, -425203, -425212?\nAnswer: -425225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9238 = p, 23*b - 36951 = -4*p + 18*b. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47176623 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/99)\/(-4)*-33. What is the biggest value in -41.4, i, -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38030873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15586, -31176, -46766, -62356, -77946, -93536?\nAnswer: -109126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -161.1 and -10428?\nAnswer: 1679950.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/33, -1\/6, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/52668 and -83\/5320.\nAnswer: 526680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (6 - 7)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9541 + 9540.5. Which is the second biggest value? (a) n (b) -1 (c) -5 (d) -61 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9 + (-2)\/(-12). What is the nearest to l in -0.4, 5\/2, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xeexjmvejuuu. Give prob of picking 2 e and 2 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 7, 4, 0.5, 4.1, 3.\nAnswer: -8, 0.5, 3, 4, 4.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2584758 - 2585343.7895. Let d = q - -586. Let o = d + -0.2. Round o to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 223 = 5*k - 2*l, k = 4*l + 51. What is the highest common divisor of 301 and k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 - -67. Suppose 91 = s*k - 37. Calculate the greatest common divisor of k and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 11, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4195, -4204, -4213, -4222, -4231?\n\"Answer: -9*g - 4186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-55 + 4 + -2)*-1 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2396*t + 13*t**3 + 5*t**3 - 2396*t - t**3.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 11:02 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 + -4 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.4. Let x = -8102 - -8103. What is the closest to 0 in x, 18, -4\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + -11102?\nAnswer: -10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 4*c - 22. Determine r(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**2 - 60132*p = 0.\nAnswer: 0, 20044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30944.6195 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*q - 4, -8*z - 5*q = -9*z + 10. Put 5, -2, -8, z in ascending order.\nAnswer: -8, -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1474080773?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.11 (b) 0.4 (c) -2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 17*y - 68. Let h be j(8). Factor -3*t**3 - h*t**2 - 62*t + 2*t**3 + 32 + 3*t**3 + 32*t**2.\nAnswer: 2*(t - 1)**2*(t + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520524870?\nAnswer: 2, 3, 5, 17, 359, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 68.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**2 - 9. Let j(q) = 21*q**2. What is x(j(w))?\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f**3 + 285356989*f - 285356989*f + 29*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137624*m**6 - 55734*m**2.\nAnswer: -16514880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l - 3 - 6074*l**3 + 6070*l**3 - 1 as n*l**2 + m*l**3 + d*l + a and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -931841*z**2 + 1863681*z**2 - 931826*z**2.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0*q - 2*f - 45, 2*f = -4*q + 180. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 513796217*t**6 - 6*t**2 - 1217914 wrt t.\nAnswer: 61655546040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-42)\/10)\/((-36)\/120). Solve -3*q + 1 = 4*w, -4*w + 2*q + 12 = -a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*a**3 + 48282*a**2 - 36987876*a + 847101402 = 0. What is a?\nAnswer: 189\/8, 1497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 802*k + 638*k - 1440*k + 822 - 29*k**2 + (0 - 2*k + 0)*(-3 + 3 + k) to the form v + m*k**2 + z*k and give v.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 135845475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**7\/70 + 19*z**6\/20 + 1051*z**5\/20 - 3*z**2 + 197*z. What is the third derivative of a(p) wrt p?\nAnswer: -72*p + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*j**3 - 55*j**3 - 36*j**3 - 19*j**3 - 3641 + 17*j**3 wrt j.\nAnswer: -342*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6539 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -705, -1403, -2101, -2799?\n\"Answer: -698*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 6:25 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u**3 - 4*u + 3*u**3 + 4*u + 22*u**4 - 18*u**4 + 3*u to f*u**2 + v*u**4 + r*u + i + s*u**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018858407 to six decimal places.\nAnswer: 0.001886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/3 - 2704*m\/3 + 61460 = 0. Calculate m.\nAnswer: 70, 2634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23180 or 23182?\nAnswer: 23182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23085 + -22960. Which is smaller: i or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36804 and 264.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5132?\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + 0 + 3 + -5. Let k be (-2)\/(-5) + 72\/20. Suppose k*v - 211 = 2*q + 1, 0 = 3*v - u*q - 159. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 2*x - 60 + 10)*(-3*x**2 + 3*x**2 - 2*x**2).\nAnswer: 4*x**3 + 74*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014088 is divided by 28151.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 411126 to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11310223 (base 4) to base 7\nAnswer: 126352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273472989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4279*o**3 - 4*o**2 + 4. Let y(l) = -12835*l**3 + 11*l**2 - 11. What is 11*k(c) + 4*y(c)?\nAnswer: -4271*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, i: 1, w: 3, k: 9, t: 3, n: 1}. Give prob of picking 3 w and 1 n.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -0. Suppose -5*o - 5*c = 26 - 11, -5*o + 2*c - y = 0. What is the units digit of (-37)\/o + -2 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3\/2 + 9*t**2\/2 - 9*t\/2 + 3\/2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(612) + -1)*6 - (-1 + -4 + sqrt(612) + (sqrt(612) + -2 - sqrt(612))))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Let x = -0.07 - -3.07. Let v be 22\/(-306) + 74\/(-1887). Sort x, v, 2\/23, i in decreasing order.\nAnswer: x, i, 2\/23, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 19. Give v(15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 21*m + 8. Let k(p) = -p**2 + 18*p + 11. Let r be k(18). What are the prime factors of g(r)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11234328 divided by -7.\nAnswer: 1604904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 352269 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: Let l(d) = 5*d**3 - d**2 - d + 1. Let h be l(1). Suppose 2*t - 4 = t. Calculate the greatest common divisor of t and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o - 54. Let h be j(9). Let k = h - -119. Solve -k*u - 3*u - 5 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:58 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 8. Let m be i\/20 - 2\/(-8). Which is the third biggest value? (a) m (b) 3 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*l + 63 + 217 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2. Let j(p) = -3*p**2 + p - 6. Let a(c) = 7*d(c) + 2*j(c). Let g be 4*50\/(-12)*6\/20. Let k be 16\/20*g\/1. What is a(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1876223 or 1876355?\nAnswer: 1876223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6206976 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 100607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2521996 rounded to two decimal places?\nAnswer: -2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/2 - -4)\/((-2)\/516) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111 + 1001111?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*f = 21, g + 5*f + 30 = -4*g. Does 9 divide (-165)\/g - (-4)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -775 (base 12) to base 9\nAnswer: -1448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 110.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1916040 and 472167.\nAnswer: 132206760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159\/13 + 1307\/143. Let u = -17\/180 - -1487\/180. Find the common denominator of u and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -7. Let w(p) = p - 7. Let m be w(b). Let q = m + -2. Are 0.1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 30 and 2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -64350.72 to the nearest one hundred.\nAnswer: -64400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004087 rounded to 6 dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 87\/17 - 184\/1564. Sort -1\/4, k, 3\/46, 3 in descending order.\nAnswer: k, 3, 3\/46, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9736 - -136207\/14. What is the common denominator of s and 101\/52?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20033359 is divided by 6677786?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5895)\/16375)\/((-12)\/560*-4)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39409.7518742 - 1.24.\nAnswer: -39410.9918742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 4*p**2 - 3*p - 1. Let s be t(-2). Let z(w) = -w + 1. Let r be z(s). Let h = -0.32 - -0.22. Which is the closest to 0.2? (a) -3 (b) h (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37.049954 and 12624.\nAnswer: 12586.950046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 567499 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -26. Let d be (-126)\/6 + 0 + q. Let p be d\/30*15\/2. Is -26\/5 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12596 + 12641. Solve -y = p*y + 184 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -8 - 7. Let t = -43 - -78. Suppose j*o = 5 + t. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-2)*2\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 277, -0.4, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 914 = 3*b + 90*h + 1445, -3*b = 2*h + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 767 + 77 - 23 + 55*p + p**2 - 85.\nAnswer: (p + 23)*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15873 = 394*m - 228*m + 263*m for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 695*s - 693*s - 10, -h = -3*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*p - 678 = 10545 + 377 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*p**3 + 61*p**3 + 71*p**3.\nAnswer: 173*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f = 2*n - 18, -3*n + 5*f = -2. Suppose n*p = 10 + 14. Suppose -4*i + 2 = -p. Let x(r) = r**2 + r - 1. Determine x(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b38b + 17?\nAnswer: 1b3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -53641 (base 10) to base 2\nAnswer: -1101000110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -32*f**2 - 3*f + 5. Let t be ((-220)\/(-253))\/10 - (-88)\/46. Calculate g(t).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/(-148)*(-3)\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*y - 73 = 0, 2 = 4*y - 2. Suppose -4*l + f = -89. Is 15 a factor of 804\/l - (-4)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015061304984 rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -30 - (-6 + -23 + -8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -4, 6, 998, 4, -3.\nAnswer: -24, -4, -3, 4, 6, 998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 6*o**2 - 5*o + 3. Let x be v(-5). What is the nearest to 0.1 in -2\/3, x, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134725891?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 - (1 - 0)\/(-1). Suppose 3*d - q = -5. Let r = 25 + -25. Which is the second smallest value? (a) d (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*b - 4*b + 2*n, -4*b + 36 = 4*n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2736) - sqrt(38)\/(sqrt(2)*-2))**2 + (((-2*sqrt(76))\/sqrt(4))**2 - sqrt(19) - sqrt(228)\/(1*sqrt(12))))*-5 + 5.\nAnswer: -60895\/4 - 115*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5706.8l?\nAnswer: 5706800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 9*y. Suppose 10 = 2*g - 0*g + 4*n, 2*g - 3*n - 10 = y. Solve 7 = -g*c - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 8:11 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1 + 4*p**2 - 3 - 3*p**2. Let f = 16 + -14. Calculate the remainder when a(3) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*f = 324 + 2756. Solve -36*o - 16 = -f*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52523829?\nAnswer: 3, 17, 41, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 30*d**2 - 27*d + 63. Let u(w) = -2*w**2 - 81*w + 232. Let k be u(3). What is c(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/76 and -4\/133.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/27)\/(-16*(-45)\/(-432))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*n = 456*n - 4020 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 - -89. Suppose 4*b - 23 = -5*r, 4*r + k*b + 6 = 28. Let d(t) = 6*t - 12. Let q be d(r). Solve 0 = 4*s - 2*g - 2, -q = -5*s + g + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s + 4. Let m(w) = w**2 - 4*w + 5. Let y be m(4). Let b(z) = 14*z - 11. Let j(o) = 7*o - 6. Let h(p) = 3*b(p) - 5*j(p). What is y*t(f) + 7*h(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/10)\/(4*(-6)\/240))\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -62\/3. Let h = -3.3 - -3.5. What is the nearest to 2\/5 in k, h, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7048653556 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 762*f*x**3 - 195*f*x + 3*f + 74*x**3 + 17574*x - 1 wrt f?\nAnswer: 762*x**3 - 195*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*y = 332*y + 48. Let u(a) be the second derivative of a**3\/2 + 7*a**2\/2 + a. Let m(w) = w + 1. Calculate y*m(c) + u(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2*d**3 - d**3 - 10 + 4 + 2*d as a*d**2 + v*d**3 + f + w*d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*a - 427*a - 56841 = 102*a - 23801 for a.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h)**(1\/3)*h**(2\/13)\/(h\/(h**4*h))*(h**(-2\/13)\/h**(-2\/9))\/(h**0*h*h**7*h) assuming h is positive.\nAnswer: h**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5064*z**3 - 802*z**2.\nAnswer: -30384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 54 + 115 - g**2 + 366 + 124 in the form n + v*g + m*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -592 + 35521\/60. Let d(z) be the third derivative of -1\/30*z**5 - 3*z**2 + 0*z - 1\/24*z**4 - y*z**6 + 0*z**3 + 0. Determine d(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88133.\nAnswer: 31, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037731 is divided by 407310.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/3))**(-3)\/(h**(-19\/3)\/(h*h**(1\/4))) assuming h is positive.\nAnswer: h**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3044*v = 699*v + 42210 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 17 = -4*t, 23*t = 24*t - 4*l. Let g = -0.1 - -0.1. Let m = -4 + -1. Which is the nearest to g? (a) m (b) -1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(20))\/sqrt(4) - (sqrt(45) + 2 + sqrt(2880))**2.\nAnswer: -3649 - 104*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/7 + 610*g**2 - 42400*g\/7 + 105750\/7.\nAnswer: -2*(g - 5)**2*(2*g - 2115)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*a**5 + 105*a**2 - 6*a**3 - 75*a**2 + 6*a**3 wrt a.\nAnswer: 2700*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 3, -10, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -48.3259?\nAnswer: 45.3259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 8, 3*k - 2*k + 5*h - 12 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.037, 3, 0.44, -3, 1\/27?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -30. Suppose 0 = y + a*p - 0 - 3, 3*y - 9 = -2*p. Let r(h) = -y*h**2 - 3*h**2 + 8*h**2. Let k(o) = -11*o. What is r(k(w))?\nAnswer: 242*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -29*i**3 - 3*i + 3. What is m(1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -118 - 515271\nAnswer: -515389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/9 + 188*y**4 + 8*y**3\/9 - 752*y**2 = 0. Calculate y.\nAnswer: -2, 0, 2, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 5*j - 18 = 0, -2*l + j = -6. Let p be 2\/10 + (-7878)\/(-60). Let b = 134 - p. Is b at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = s - 50, -3*s - 57 = -4*r + 33. Suppose -t + r = -57. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:44 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 926 + 2319. Let s(b) = -25*b**2 - 3245*b + h*b. Let n(w) = -4*w. Calculate n(s(o)).\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(6 - 6 - 7*w + 0).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**3 - a**3 + 0*a**3)*(-23*a - 31 + 31) to q*a**2 + i + x*a**4 + o*a + s*a**3 and give x.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -525, -1052, -1579, -2106, -2633, -3160?\nAnswer: -3687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 + 6 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23605, 23609, 23599, 23569, 23513, 23425, 23299?\nAnswer: 23129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2216283*m**2*p**3 - 4*m*p**2 - 4060*m*p + 2*p**3 + 55*p**2 wrt m.\nAnswer: -4432566*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -29. Let t = -6 - w. Let n(v) = v**3 - 15*v**2 - 29*v - 82. Let i be n(17). Solve -10 = -k - i*l, t*k - 2*l + 2 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9 + 15 = 0. Let k(h) = h**3 - 4*h**2 + 2*h + 1. Let d be k(3). Let m be d + -2 + 0 - (-14 - -5). Solve -i = m*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -589, -1273, -1963, -2665, -3385?\nAnswer: -4129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/3, -0.2, -0.3, -14?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235216 (base 9) in base 11?\nAnswer: 97430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8579292 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 3*z - 7. Let i be p(5). Differentiate 2 + r**4 + 8*r**i - 8*r**3 wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13834?\nAnswer: 2, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*k = 308, 12*r - 5*k = 7*r - 530. Is 2\/7 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 6*o + 3. Let k be -4 - (-4)\/4 - 1 - -2. What is n(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (4 + -5))\/(-2). Suppose f = i + 3*i + 12. Let n(o) be the first derivative of 3*o**2 + 3*o + 379. Let j(v) = -6*v - 2. Determine i*j(l) - 2*n(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -740 - -1060. Is 55 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*a + 17, 3*g = -2*g - 3*a + 1. Let c be 172*g\/162 + -2. Let n = c - 1042\/567. Is n less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357\/1680656 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 14*t - 260 = 0. Let s = -49 + t. Suppose -235 = -s*x + 4*i, -3*i - 154 - 80 = -3*x. What are the prime factors of x?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1562 - 116?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -436?\nAnswer: 43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((-2217 + -3)\/(-10))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*k**3 + 128*k**3 - 185*k**3 + 1289*k**3.\nAnswer: 1002*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 395984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - -32) + -16 + 54\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 11) + (-1 - 11 - -3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5cc639 (base 13) to base 15\nAnswer: -2deb18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1329 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -850*r**2 + 36*r. Let f(z) = 98*z**2. Calculate n(f(d)).\nAnswer: -8163400*d**4 + 3528*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 6:29 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1770*a**2*u**2*v**3 + 2*a**2*u**2*v**2 + a**2*u - 2*a*u**3*v**2 - 20*a*u - 4366*u**3*v**3 + 9394*u**3*v**2 wrt v?\nAnswer: -10620*a**2*u**2 - 26196*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1361996975?\nAnswer: 5, 1549, 35171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -10, -19, -32, -49, -70?\n\"Answer: -2*u**2 + u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 - -0.78. Suppose -5*l = 28*l - 165. Which is the third smallest value? (a) l (b) y (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-245))\/(4\/22*(-14289)\/(-2165)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 - 8*n + 6. Let h be u(6). Suppose 4*d + q - 128 = 5*q, 0 = -4*d + 2*q + h. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {u: 1, d: 2, k: 4, r: 5, z: 2, p: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*g = 98, 3*g + 1311 - 1253 = 2*b. Suppose -1\/3*u**2 + 0 + b*u = 0. Calculate u.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 18*u**2 - 16*u - 15. Give x(-17).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 14. Let w = 4 + g. What is the closest to w in -2, -5, -4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115895444 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2 - 1132\/(-416) - (-14)\/91 and 1\/5 + 196\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307201 divided by 6?\nAnswer: 307201\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -60\nAnswer: 17\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1802?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5 - 1. Suppose 5*p = 2*c - 18, 2*p + p = -c - m. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:02 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 256, 242, 214, 166?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 13*b - 11. Let p be r(14). Suppose -2*j + p + 3 = 0. Suppose j*d - 87 = -3*g, 0*g - 5*d = 2*g - 55. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {k: 1, o: 2, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + ((-22 - 26) + -12 - -24)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -7a (base 13) in base 4?\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001100111 + 11111100100?\nAnswer: 111001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 137 = -5*u + 268, -3*n = 5*u - 435. Solve 9*q + u = 48 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n - 21. Let m be (-4)\/n - (-22)\/6. Let x(s) = -s - 4. Let o be x(-7). What is the greatest common divisor of m and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*26\/481 + (-68505)\/(-4440) - 15?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 > -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*v + 214240, 177403 = 5*v - 4*r - 90394. Suppose 12*w + 4249 = v. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, u: 7, l: 5}. Give prob of picking 2 u.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -11 + 21 + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4447*5\nAnswer: -22235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263698148?\nAnswer: 2, 7, 137, 68743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3 = -q. Let y be (-1)\/q*(-1620)\/48. Determine o so that 9\/4*o**4 + 27\/4*o + 33\/4*o**3 + 3\/2 + y*o**2 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0626 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-29 + 10)) + -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - z = 3, z - 6 + 14 = -4*g. Let c(o) = 381991*o - 9. Let h be c(g). What is h rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1.9, -374, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -505, -817, -1129?\nAnswer: -1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 41688 (b) -1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 519*p**4 + 6882*p**3 - 32826*p**2 + 62235*p - 35775 = 0.\nAnswer: 1, 3, 5, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6116 is divided by 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0159 + -4.\nAnswer: -4.0159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 3. Let s(v) = 383*v**2 + 1918*v + 9. Let t be s(-5). Which is the biggest value? (a) -0.3 (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 45 = l. Let x(c) = c**3 - 8*c**2 - 8*c - 4. Let p be x(l). Suppose -p*n = -15, w + n = -w + 69. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726019 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((-1)\/(-12)*-10). Let a = z + -5. Let f be ((-4)\/50)\/(8\/(-5)). Is f greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004233 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, 8\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2709, -5435, -8161, -10887?\nAnswer: -13613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*m - m = 13, 0 = -u - 2*m + 8. Let x = -38 + u. Let v be 7*(-96)\/x*9875. What is v rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1\/5, -3, 709, 24, 3\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.752 + -0.052. Let s = 0.8 - m. What is the closest to s in -0.5, -5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4675726, 3, -20 in decreasing order.\nAnswer: 4675726, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9194 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -1\/3 (c) -1\/978 (d) 1\/35 (e) -183 (f) -1 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5 + 9*t**2 - 4*t + 4*t - 6. Let s be x(-1). Solve -2*h - s = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3317 - -26571\/8. Let w = 143\/40 - u. Let l = -120 - -241\/2. Which is the nearest to 1? (a) l (b) 2\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = q - 0*q + 4*r, 0 = -q + 4*r + 7. Suppose q*w - 6200 = 8023. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -2*c + 0 - 1\/2*c**2. Let w(z) = z**3 - 4. Suppose j = 4*j + 2*g - 5, 3*g = -3*j + 3. What is j*n(o) - w(o)?\nAnswer: -o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 + 0 + -4 - (-12)\/6 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 - -1.9. Put x, 0.3, -12 in decreasing order.\nAnswer: 0.3, x, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1050303 and 5325?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42060)\/(-120))\/(-4 + (-7140)\/(-1784)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59281, 59284, 59287, 59290, 59293, 59296?\n\"Answer: 3*n + 59278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 4, 50\/9, 2?\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*r + 5)*(-4 + 2 - 2)*(48*r + 236 - 236)*(6 - 6 - 3*r).\nAnswer: 2304*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 49, 175, 425, 841, 1465, 2339, 3505?\nAnswer: 5005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from -13.316.\nAnswer: -13.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 3 - 3 + 12219*i + 4.\nAnswer: 12219*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-4))\/(48\/160). What is the smallest value in -3, d, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 4*s**2 + 0*s**2)*(5*s**2 + 81*s - 153*s + 157*s).\nAnswer: 20*s**4 + 340*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94 and 19058?\nAnswer: 895726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 10:00 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.336074 - -4.364956. Let d = 1.92 - -23.78. Let o = n - d. What is o rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 15*y - 34. What is the remainder when 179 is divided by x(9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2745 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -41, -54, -61?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 0 + 0*v**5 + 0*v**6 + 1\/105*v**7 + 0*v**3 + 2*v**2 - 1\/24*v**4 + 0*v. Find the second derivative of i(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f = -5. Let t be 2*2*3\/(-4). What is the third biggest value in t, f, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-1\/6))\/(b\/b**(3\/5)*b))\/((b\/(b**8\/b))\/b**(-2))*(b**1\/b*b)**(-7)*b**7*(b\/(b\/b**(1\/3)))\/b assuming b is positive.\nAnswer: b**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 + 20*c - 67 - 32*c)*(0*c**2 + c**2 + 3*c**2).\nAnswer: -48*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 191 + 219. What is the smallest common multiple of (-9)\/15*(-9 + 4) and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-6) + (-1)\/3. Let y = 7.7 + 1.2. Let x = y + -9. What is the third smallest value in z, 1\/3, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.323 and -2192?\nAnswer: 2193.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*i + 16 = -4*c - 332*i, 6*i + 102 = -8*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25203002 (base 9) to base 8.\nAnswer: -57054206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 951080 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqqx when four letters picked without replacement from {q: 3, x: 4, t: 5, c: 7}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1180 - -312. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -9*n**5\/5 + 13*n - 7. What is the first derivative of y(q) wrt q?\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -11. Let h = 0.1 + -0.3. Suppose -2*t + 5*t = -x + 7, -x + 2 = -2*t. Which is the second biggest value? (a) o (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -39. Solve -j*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 5*b - 40, -58*g + 59*g - 21 = -4*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -16*y + 21. What is the tens digit of p(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 751646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -250*r + 6170 + 6287 - 3957 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4893359 and 2745.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -11*d + 120. Suppose -d*s = -21*s - 96. What is the second derivative of -85*h**5 + s*h**5 + 39*h**5 - 49*h + 7*h wrt h?\nAnswer: -280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1198, -1, 13, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*p - 1201 = 3*p, -3*c + 2*p + 1202 = 0. Calculate the highest common factor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 + 3*q**2 + 149 - 299 + 150.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1 + (0 + 0 - 2)*(-1 + 4 - 2) - 2 - 2 + 2)*(-3 - 3 + 3)*(-3*m**2 - 5*m**2 - 2*m**2).\nAnswer: -90*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -7. Suppose 0 = 3*p - 10 - 2, d*j - 37 = -3*p. Let a(v) = 2*v - 7*v - 2*v**2 + j*v. Let x(t) = t. What is a(x(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**3\/6 - 3*t**2 + 3*t. Let p be c(-8). What is r in -r**p + r**2 - 1 + r**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1414233 and 628548.\nAnswer: 5656932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, -3, 1\/3 in descending order.\nAnswer: 2.9, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Suppose -2*w + 2*u = 0, -2*w + 3*u = 2 - 0. Let h(n) = -n**w - 5*n**2 + 3*n**2 + 2*n**2. What is h(b(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609757?\nAnswer: 609757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50388707?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30.6787l?\nAnswer: 30678.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 1\/2*-2. Let j(d) = -d**3 + 11*d**2 - 10*d + 5. Let b be j(10). Sort s, b, 4.\nAnswer: s, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*c + 3 + 5*c + 3)*(-c**2 + 0 + 0) as j + t*c**3 + l*c**2 + s*c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 19, -1333, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**3 - 7*f**2 + 3*f**4 + 4*f + 7*f**3 - 3 + 7*f**2 in the form z*f**4 + g*f**2 + m + l*f**3 + w*f and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1435 and 11116658.\nAnswer: 55583290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 13*i - 13860 = -62*i. Calculate the greatest common factor of i and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 785*b - 55681. Determine j(66).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 11. Let u(m) = -m**2. Give z(u(i)).\nAnswer: -3*i**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.872 + -18. Let i = l - 0.172. Let w = 0.1 - 0.1. What is the nearest to w in i, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7 = 5*l + 26, -l - 119 = -5*v. Suppose 0 = 3*c - 3*a - 30, -4*a = -4*c + a + 45. What is the remainder when v is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o + 1. Determine m(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*o - 5*h, 4*h = 3*h - 2. What is the third biggest value in -2\/9, -3\/4, o?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(2\/85)*l**13\/l*l*(l\/l**5)\/l**(2\/23) assuming l is positive.\nAnswer: l**(19426\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 5*z - 2, 2*h - 2*z + 4 = 2*z. Which is the nearest to 2\/13? (a) -2\/7 (b) 2\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 8*k**2 + 37*k - 38. Determine b(8).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207 - 201. Suppose -5 - 19 = -b*i. Let j(l) = -l + 5. Let h be j(5). Solve i*v + h*v = 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b8 + 1?\nAnswer: 3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2*((-480)\/72 - 6))\/1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*u - 1150*u + 693*u + 218*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2. Let s(b) = b**3 - 2*b**2 - 2*b - 1. Let m = -2 + 5. Let i be s(m). Let h(p) = i*p - 2*p**2 - 6*p + 4*p. What is h(d(v))?\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2434*d - 2232*d + 7070 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5\/5 - 134*f**4\/5 - 516*f**3\/5 - 764*f**2\/5 - 506*f\/5 - 126\/5.\nAnswer: -2*(f + 1)**4*(f + 63)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04780074 and 70630191.\nAnswer: 70630190.95219926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 22*r**2 + 9*r - 10. What is the lowest common multiple of u(-21) and 4?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5 + 18*a**4 + 36*a**3 + 30*a**2 + 9*a = 0 for a.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(-157)\/(31400\/(-540)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 475*m + 13 = 476*m, -5*w + 5 = 5*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1126.46 + -881.4787. Let h = g - 245. What is h rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-28644)\/(-198))\/(-31))\/((-4)\/(-6)))\/(1\/13)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqzlmsl. What is prob of sequence mllz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 - 197 - -122 - (73 - -2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h*w**4 + 90*h*w**2 - 12*h*w + 104635*w**4 - 15 wrt w?\nAnswer: 24*h*w + 2511240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 13*k = 8*k + 20, -3*t + 4*k - 16 = 0. Solve -4*p - 10 = 5*y, -2*p = 2*y - t*p + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-63)*-1)\/(14\/12). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 230\/50 + 3\/(-5). Let v(u) = -13*u - 6 - l*u**2 + 5 - 6. Suppose -2*z - z = 6. Let a(n) = n**2 + 4*n + 2. Give z*v(k) - 7*a(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19459?\nAnswer: 11, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**15\/(y**(4\/7)\/y))**0)**30 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**2 - 31 + 31 + (0*n + 7*n - 6*n)*(0*n - 5*n - 4*n + (3 + 1 - 3)*(0*n - n - n) - 1 + 1 - n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0.0443, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -9\/2, 0.2 in increasing order.\nAnswer: -9\/2, 0, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a = 4*n + 627, 0 = -3*n - 4*a - 478. Let f = 1407 + n. What are the prime factors of f?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/5 - 252*a**3\/5 + 9234*a**2\/5 - 77976*a\/5 = 0. What is a?\nAnswer: 0, 12, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-6.547.\nAnswer: -0.6547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3702, 14732, 33114, 58848, 91934, 132372, 180162?\nAnswer: 235304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6566*z = 6547*z + 57 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012 is divided by 482?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585425 is divided by 194944.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -2\/15, -1\/10, -20 in decreasing order.\nAnswer: 0.2, -1\/10, -2\/15, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1023*l = 1037*l. Let w be 2\/(-3)*3\/(-4). Let v = -7\/10 + w. Which is smaller: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**4)\/n)\/(n**(1\/2)*n))\/(n**(-8)*n*n*n**(-1)) assuming n is positive.\nAnswer: n**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -15652\/274109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1305 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155975172?\nAnswer: 2, 3, 373, 34847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 z when four letters picked without replacement from dgzddgdzddzgzzzgg.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Express 864*k - 723869 + 692*k + 723869 as z*k + i and give z.\nAnswer: 1556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 971*v**2. Let t(b) = -105727*b. Give p(t(i)).\nAnswer: 10854030771659*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1629*g*m**2 + 57*g*m - 346382*m**2 wrt g?\nAnswer: -1629*m**2 + 57*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*m - 303*m = 0. Solve -97*r = -102*r + 3*u + 12, m = 2*r - 4*u - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2 + 2319141*v - 2319144 = 0. Calculate v.\nAnswer: -773048, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -12.1\nAnswer: -60.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0.02, 735\/146 in descending order.\nAnswer: 24, 735\/146, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 841.37 + -844.27. Let g = -667\/4 + 168. Which is the closest to p? (a) -3\/4 (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/5, 656 in descending order.\nAnswer: 656, 3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -12*s - s**2 - 10*s**3 + 9 - s**2 + 18*s - 3*s. What is the hundreds digit of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1260 and 1428924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7575 and 27?\nAnswer: 68175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 66498 = g + 66496, 5*j = 5*g + 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 32*q - 100. Let f(v) = -22*v + 67. What is -7*f(i) - 5*u(i)?\nAnswer: -6*i + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 2620669?\nAnswer: 10482676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 16*b + 34. Let i be (-350)\/(-6)*48\/56. Suppose -i + 37 = s. Determine a(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18\/7 + x + 1\/7*x**2 = 0 for x.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4460, -4219, -3684, -2747, -1300, 765, 3556?\n\"Answer: 18*y**3 + 39*y**2 - 2*y - 4515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81433 is divided by 267.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 5:12 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-112)\/(-52) + 6\/(-39). Suppose -k = -4*p + 3*p, -3*p = -3*x + 5931. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 20. Let b be r(-23). Put -6, -5, -4, b in descending order.\nAnswer: b, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.2 - -7. What is the nearest to y in 3, -2\/11, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/12 + 10 + -1. Suppose -v = -3*k - 1. Let b(z) = -2*z + 4. Let q be b(k). Round q to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/27)\/((-4)\/(-6)). Suppose -4*b = -5*b - w. Which is smaller: -7\/3 or b?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h + 3. Give g(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1288085 and 1095.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -5*h - 3*p, -5*h + 320 = -p + 6*p. Suppose 5*i - 71 = k, 3*i + 5*k - h + 23 = 0. What is the remainder when 40 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 172*u + 2788. Let s be h(18). Solve c - 7*w = -9*w - 2, 5*c - s = 3*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 299455557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -200, -196, -190, -182, -172, -160, -146?\n\"Answer: g**2 + g - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(40) - (sqrt(40) - sqrt(160)*-2))\/(sqrt(8) + sqrt(128)*3) - (4 + (sqrt(605)*3)**2 + (sqrt(605) + 0)*5 + sqrt(605)).\nAnswer: -5450 - 862*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970946382?\nAnswer: 2, 3, 7, 23117771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)*a**(-3)*a**(1\/4)*a**(-3))\/((a**(-1))**(-48)\/(a**0*a*a*a**(-1\/3))) assuming a is positive.\nAnswer: a**(-209\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914801.\nAnswer: 914801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -31 + 22 + (-2 - 434\/(-2)). Which is smaller: p or 208?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 5:36 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001304 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*h = 438, 647 - 179 = q - 4*h. What is q rounded to the nearest ten?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -53567, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19013339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*o - 17. Put -5, o, -7, 1 in increasing order.\nAnswer: -7, -5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3356264*r**3 - 5662978 wrt r.\nAnswer: -10068792*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192139473?\nAnswer: 7, 23, 947, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -17100350 to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 319 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3755 = -519*t - 95 - 10548 - 7125 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -10, 151, 392, 719, 1138?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397, -2265, -5657, -10627, -17229, -25517, -35545, -47367?\nAnswer: -61037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 237135 + 4a?\nAnswer: 237184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5\/f**(-10) assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245*h + 104*h - 177*h - 97*h**3 + 154*h**3 - h**5 + h**2 + 173*h**3 wrt h.\nAnswer: -60*h**2 + 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 + 1470*m**3 - 109505*m**2 + 214620*m - 106580.\nAnswer: -5*(m - 146)**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-381)\/(-2)*(3 + (-84)\/36) is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 60 = -0*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a + 239d?\nAnswer: 2407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 198.3 - 198. Put 3, n, -1, 0.06 in decreasing order.\nAnswer: 3, n, 0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 times 82036\nAnswer: 1312576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, z: 1, b: 1}. What is prob of picking 1 z and 3 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.57 - -0.6. Let f = -2.97 - r. Which is the biggest value? (a) f (b) 0 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p + 3. Let b be f(-2). Let z be 8\/(-12)*(1 + b). Solve 4*s - 25 = 5*l, 0 = z*s + l - 5*l - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -6. Is -0.2 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/99*(408\/16)\/(-17)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 7*g**2 - 5*g + 2. Calculate t(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2314 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 838.9 to the nearest ten.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4 - -2)\/(-2))\/(8 + -9). Let n(x) = -3*x + 3. Let i be n(a). Suppose o - o = i*o. Solve o = -y - 4 + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wobx when four letters picked without replacement from boxooofbywbfboo.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -655c07 (base 15) to base 8\nAnswer: -22327435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 3*v - 6 + 18, 4*v = -q - 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and ((9\/12)\/((-1)\/(-12)))\/((-68)\/(-4692))?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 155524411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 14. Let g be n(-16). Find the third derivative of -4*b**2 + 3*b**g + 3*b**4 + 4*b**2 + 8*b**4 wrt b.\nAnswer: 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 2)*-2)**2 + 4 + (-4*(5 + 1 + sqrt(468)))**2.\nAnswer: 1248*sqrt(13) + 9956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 25. Let n(w) = w**3 - w**2 - 5*w + 3. Let a be n(3). Suppose a*b = x*b + 129. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) + (-10)\/(-4). Let b(o) = -o**2 + 10*o. Let y be 16\/(-20)*(-50)\/4. Let j be b(y). Solve 6 = -a*v - j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1535 divided by -5\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1749037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.0346 years in decades?\nAnswer: 33.80346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6733 - -141353\/21. Find the common denominator of u and -109\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, z: 1}. What is prob of picking 2 m and 1 z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - y - y)*(2*y + 2*y - 2*y)*(-6*y**2 + 8*y**2 + 54*y**2) in the form d*y**2 + g + w*y**4 + h*y + p*y**3 and give w.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107290 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.115013 tonnes in grams?\nAnswer: 5115013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 13.52. Let z = o - -0.02. Put -2\/3, z, -8 in ascending order.\nAnswer: -8, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6628765 and 6604.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t**(2\/5)*t))))**(5\/8)\/(t**(-2\/7))**(-2\/73) assuming t is positive.\nAnswer: t**(-527\/2044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -18) + -11 + (-5 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*d + 98 wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 748974 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 2*r**2 - 5*r + 2*r + (-4 - 8 + 17)*(r**2 + 3 - 3) to the form x + c*r**2 + y*r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 - 2*r**3 + 3*r**3 + (-2 - 5 - 1)*(-2 + 4 + 7)*(0 + 4 - 2)*(5*r - 5*r - r**3) as v + z*r**2 + l*r**3 + w*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 a when three letters picked without replacement from {l: 1, a: 2, p: 14}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 4*w + 0*w)*(15*w - 25*w - w**2 + 13*w).\nAnswer: w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -1506575?\nAnswer: -1506556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29c56 + -c7?\nAnswer: 29b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -300, 52, 4, 1, -4, -5 in decreasing order.\nAnswer: 52, 4, 1, -4, -5, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**3 + 4*w**2 + w - 4. Let q(c) = -3*c**3 - 5*c**2 + 5. Let x(u) = 5*d(u) + 4*q(u). Find the second derivative of x(j) wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 + -1) - 0 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 534.99963 + -535. What is o rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 150 = 20. Is o at most -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2876 = -6*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(((-96)\/16)\/168)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885 is divided by 152?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:28 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*j + 2*j + 12, -j = -5*k. Let z(n) = -n**3 + 2*n**2 + 6*n - 6. Let o be z(3). Sort j, o, -3, 1 in increasing order.\nAnswer: -3, 1, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (18 - (-31 + 8) - 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-9)*v*v\/(v*v**(-5\/8)*v)*v)\/(v**2)**(-9\/7))**(15\/8) assuming v is positive.\nAnswer: v**(-4035\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let c(g) be the second derivative of -3\/2*g**2 + 5\/6*g**3 - g - 45. Determine c(m(i)).\nAnswer: -5*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 0.02, -217, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*g = 4*t - 10, -3*g + 28 = t. Let c = t - 19. Suppose 11*p - 6*p - 105 = c. Which is bigger: p or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/(1\/2). Let t = o + 11. Solve -m - t = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 7764?\nAnswer: -7755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = i + 15, -4*i - 5*b + b = -20. Suppose q + 3*j = 18, 2*q - 1 - 30 = -5*j. Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -8, -0.62?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10001011110111011000100?\nAnswer: 10001011110111011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 3. Let v(h) = 3 - 5 - 4*h - 2. Suppose 0 = -r + 57 - 137. Let w = 87 + r. What is w*g(f) - 5*v(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 5434?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/11 in 516, -0.2, -125, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1020)\/(-15895) + (-4)\/22.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 222*l + 441*l - 222*l - 226 = 0, -c - l = -2*c + 73 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -10?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*u + 12728 = 3*l, 5*u + 15 = 0. Let y = 4466 - l. What is the greatest common factor of 117 and y?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 i, and 1 t when three letters picked without replacement from oootoicfiic.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 791 and 1921.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + 2 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 614956 - -3?\nAnswer: 614959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -12*t + 30. Suppose 4101 = s + 4*q, s - 6*s = -t*q - 20528. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(5) + 3 - (sqrt(5) + -1)*6)*-3)**2.\nAnswer: -1134*sqrt(5) + 2934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202202 - -2000?\nAnswer: 211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4 + 7. Let y(x) = 6*x + 40. Let j be y(-6). Solve h + 2*b = -j, w = 4*h + b + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*-69 - 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14*(-42)\/(-12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k + 8*k = -160 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107684 + -436443256\/4053. What is the common denominator of -46\/45 and y?\nAnswer: 60795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + y**2 + 2*y - 1. Let d be l(-3). Let s = 60 - d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -344, -353, -374, -413, -476, -569, -698, -869?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3))**(-18)\/(c**(-1\/8)*c*c\/c**18) assuming c is positive.\nAnswer: c**(225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.1 - 13.1. Put -12, i, 3 in ascending order.\nAnswer: -12, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -5*l**2\/2 - 47*l + 138. Let o be (-15 - 0) + 9\/(-9). What is the units digit of v(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (138\/(-9))\/((-7)\/(-21)). Let o = x + 90. Calculate the highest common factor of 110 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 26. Suppose p + 4 = 6. What is the remainder when p\/(-3) + 2134\/33 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h\/(h*h**(1\/2)\/h*h*h)))))**(-22)*h**1*h**(-1)*((h**3\/h)\/h*h\/(h**(1\/3)\/h))\/(h**(-1\/4))**(2\/17) assuming h is positive.\nAnswer: h**(-5335\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004515 rounded to 7 dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 128\/6 - (-672)\/(-504).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzzzzzxz. Give prob of picking 1 x and 3 z.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*o + 28 = 0, 0 = -c + 2*o - 3 - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-20)*g*g**16 assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 531 - 518. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/255 - (-16)\/10.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + -13 + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/88 and -16\/5274907?\nAnswer: 42199256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4687444955 - -2.\nAnswer: -4687444953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269 + -573. Let v = p - -307. Which is the closest to 33? (a) v (b) 3\/4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/11389147 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 11, 3 in decreasing order.\nAnswer: 11, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - -3.92. Let f = 3.5 - 0.5. Let d = -1 + f. Which is the nearest to d? (a) -5 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v - 5*r = 0, 4*v + r = 0. Suppose v = 5*o - 3*z - 34, 2*o - 9*z - 25 = -4*z. Solve 0 = o*c - l - 4, -2*c = -4*c - l + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6410491?\nAnswer: 23, 278717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10851795, -43407201, -97666217, -173628849, -271295103, -390664985?\nAnswer: -531738501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 241408 divided by -60352?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 951142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 2*l - 6*l + 122 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-572)\/(-33))\/(1\/3). Let g be m\/(-16) + 3 - (-25)\/20. Sort g, 30, -3 in decreasing order.\nAnswer: 30, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d. Let v(s) = 28*s**2 + 27*s**2 - 20*s**2. Give v(c(u)).\nAnswer: 35*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*y + 3249996, 3*x + y = x + 1300002. Round x to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30941, -30948, -30961, -30980?\nAnswer: -31005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)*f)\/f**29 assuming f is positive.\nAnswer: f**(-137\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2442 + (-2)\/((-4)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 322 + -327. What is the second smallest value in -2, g, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539515433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -5)*(0 + 1). Suppose 0 = 4*k - 12, -2*u + 2*k + 84 = -5*u. Let n = -28 - u. Solve -2*h - m = -c, 0 = 5*c + 2*h + n + 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 - -0.38. Let z be (4\/(-3))\/(2\/2). What is the closest to z in 5, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -26*l + 72 - 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226700 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Let v be z(-2). Which is the third smallest value? (a) 0.5 (b) -1\/3 (c) v (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27393463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82335*j**2 - 6*j**3 - 82335*j**2.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - b**2 + 5*b + 2. Let o be i(-3). Suppose 3*l + 5 - 20 = 3*f, 6*f + 27 = 5*l. Put o, f, -4 in ascending order.\nAnswer: -4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w - 71 - 63 + 141. Let z(i) = -6*i + 8. Determine 4*q(v) - 3*z(v).\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t + 4. Let b be m(4). Let a(h) = h + 28. What is the tens digit of a(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b**3 - 58*b**2 - 28*b - 257. Give j(-7).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, o: 3, u: 3}. Give prob of sequence uu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 a when two letters picked without replacement from baxjfffjxxx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z + 185. Give x(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/3 + 17312*t\/3 + 18731584\/3.\nAnswer: 4*(t + 2164)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*g**2 - 24*g**2 + 1 - 75*g**2 + (4*g**2 - g**2 - g**2)*(-1 + 8 + 0) to h*g**2 + j + s*g and give h.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*f - 1\/3*f**4 + 5\/3*f**2 - 1\/3*f**5 + f**3 + 0.\nAnswer: -f*(f - 2)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -5.3. What is the smallest value in 0.02, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 7*k + 5. Let q be c(-7). Suppose 0 = -2*x - q*r + 52 + 147, 3*x = 2*r + 346. Calculate the highest common divisor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - -11 - ((-7060)\/280 - -11)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 148*f\/9 + 2738\/9.\nAnswer: -2*(f + 37)*(3*f - 37)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92154 is divided by 92127.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.9 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5382*o - 80*q - 47 = -5379*o, 2*o + 2*q = 20 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32d420 (base 16) in base 7?\nAnswer: 40212450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159352720 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -345425, -1381405, -3108039, -5525327, -8633269?\n\"Answer: -345327*r**2 + r - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 23*m**2 - 29*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -1, 125, 379, 803, 1439, 2329, 3515?\nAnswer: 5039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44320 is divided by 148.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i**2 - 5*i - 8. Let x be -6*(14\/4 + -4). Let v be (x - (1 + 1)) + 4. List the prime factors of f(v).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*r + 3 = 0, -2*r - 3*r + 7 = k. Suppose l - 8 = -4*t, k*l - 5*t = 20 - 4. Solve -4*p - 1 = 2*g + 1, -5*g + l = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 7*a + 10*a)*(-1 - 1 + 1) - 4*a + 3*a + 3*a + (-2 - 2 + 3)*(2*a - 5*a + 2*a) as m + n*a and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-1)\/(4\/(-304)). Let b = f - -78. Suppose -b*c + 195 = 11*c. Solve 0 = d - 6*t + t - c, -5*d + t = -27 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeseghhcheehe. Give prob of picking 1 c and 1 h.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/5 + 3062*h**3\/5 - 9204*h**2\/5 + 8*h\/5 + 12272\/5 = 0. What is h?\nAnswer: -1534, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 3*v**2 + 3*v - 1. Let f be h(-6). Let o = f - 27. Suppose -2*z = 3*c - z - o, -86 = -3*c + 5*z. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-45))\/(((-138)\/(-15))\/(-2))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106569722 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1994, 8365, 19064, 34157, 53710?\n\"Answer: 11*o**3 + 2098*o**2 - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 126287.2?\nAnswer: 37886.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 3, r: 3, j: 2, u: 1, b: 2}. Give prob of picking 1 r, 1 o, and 2 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(7) + sqrt(448)*3))**2.\nAnswer: 3\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**3 + n + 1. Let f be 2*2*2\/(-8). Let o be i(f). Suppose -o*u + 6*u + 59 = 0. List the prime factors of u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067695856 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o = -25*o - 15. Suppose -5*i - o*r = -74 - 17, 2*i - 2*r = 46. What is the remainder when 75 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 100, 122, 144, 166?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 4. Let p be 4\/6 - (-40)\/l. Let d = 7 + p. Put 0, d, -1 in ascending order.\nAnswer: -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + 3 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712117 is divided by 274.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, v: 2, g: 8, y: 2, w: 3}. What is prob of picking 1 s and 2 g?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.38381607 to 4 dps.\nAnswer: 1.3838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 43 - 22 - -29 - -11\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*h**3 + 6*h**2 + 52.\nAnswer: 48*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 1, l: 2, d: 13}. What is prob of sequence dtpl?\nAnswer: 13\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14823 divided by 33.\nAnswer: 4941\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k - 3. Let j(q) = -7*q + 6. What is -3*j(s) - 5*r(s)?\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -95*o**2 - 4585640*o + 482700 = 0. Calculate o.\nAnswer: -48270, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.4 (c) -2 (d) 4 (e) 230\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 1547400*z - 199537230000.\nAnswer: -3*(z - 257900)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 2*s + 1. Let t(y) = -y**2 + 15*y + 17. Let k be t(16). Determine f(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/15)*m**(-4) assuming m is positive.\nAnswer: m**(-61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -10\/3*v**3 + 0*v**2 + 2 - 3\/4*v**4 + 0*v. Find the third derivative of g(k) wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*c - 21, 0*j + 2*j - 5*c = 7. What are the prime factors of 7 - -2*3\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*g**3 + 93*g**2 - 6306*g - 2112 = 0. Calculate g.\nAnswer: -32, -1\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/52*((-436)\/5450)\/((-2)\/5)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 326249, 326257, 326265, 326273, 326281, 326289?\n\"Answer: 8*h + 326241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*h + 52*h + 24*h + 90*h.\nAnswer: 332*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8543, 9820, 11091, 12356, 13615?\n\"Answer: -3*b**2 + 1286*b + 7260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -62. Solve -k = -3*x - 2*k + u, 0 = 4*k - 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 31*u**2 - 6*u - 2. Let q(d) = -6*d**2 + d - 1. Calculate n(g) + 4*q(g).\nAnswer: 7*g**2 - 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/12 - (-3)\/(-4). Let v = 0 - g. Calculate the least common multiple of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 - 128. Let d = -4 - l. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minus 6?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 336 = 2*l. Calculate the remainder when 116 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.0147? (a) 1.8 (b) -6\/13 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1755 = 9*q - 1737 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-4 - -1) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - -1. Suppose 4*q + 2 = y. Solve -q*g - h - 15 = -0*h, 2*g + 3*h = -17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8622614?\nAnswer: 2, 7, 11, 13, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -13, 0.01, 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 374.534333 from -0.2.\nAnswer: -374.734333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 e when four letters picked without replacement from {e: 11, j: 9}.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.19 + -0.19. Let s = -0.42 + 0.4. What is the third smallest value in -1, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 20*b**2 - 2*b - 15. Let v(r) = r**3 - 10*r**2 - r - 7. Let q(u) = 4*o(u) - 7*v(u). Is 7 a factor of q(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/2)\/(5\/15). Let x = b - 6. List the prime factors of ((-40)\/x)\/(2\/(-36)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.1 + -20.09935. Round a to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1) - (-1 + -5). Suppose t = -2*y - 7 + 58, -y = -r*t - 29. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 4*d**2 - 7*d**2 + 0*d - 2*d**3 - 3*d in the form w*d + j + c*d**3 + y*d**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222806 and 1899366.\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000127411 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.14 (b) -26 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 146620 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -147 - 1?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgq when three letters picked without replacement from qggqgqgggqg.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 184.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + -0.42. Let s = -47.17 - -1.27. Let l = -46.1 - s. Put l, -2, h, -1 in increasing order.\nAnswer: -2, -1, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26\/(-39) + 17*(-4)\/(-12). Suppose 3*h - 6 = -f, 9*h + 3*f - 6 = 4*h. Suppose 0 = -d - h*d. Solve p*b + 0*b = d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in -1\/14, -5, -0.04, -3\/4, 1\/3?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199420 and 48085.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -487, -1877, -4187, -7411, -11543?\n\"Answer: h**3 - 466*h**2 + h - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-112)\/(-18) + (-16)\/72. Suppose 34 - v = 4*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 2*k**2 - 3*k**2. Let n(j) be the first derivative of 2 + 0*j**2 - 2\/3*j**3 + 0*j. Determine n(h(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8291203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 6*j**2 - 3*j + 10. Let k be w(-5). Let l = k + -27. Suppose 0 = -3*v + l + 361. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h + 1319 = 695 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4569\/34 - 269\/2. Let g = 4\/3 + -1. Which is the third smallest value? (a) g (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - 3.06. Let o be 2\/(-70)*1244\/12. Let w = -38\/15 - o. Which is the closest to -1\/5? (a) w (b) 2\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:18 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 120086*b - 360195. Calculate c(3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(612) + (-1 + sqrt(612))*-5 - sqrt(612) - -2*(sqrt(612) + 1)) + -3))**2*2.\nAnswer: -288*sqrt(17) + 11048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 l when three letters picked without replacement from {l: 5, p: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 279 = 5*y + 515, 0 = -5*y + 25. 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 is next in 889776, 1779535, 2669292, 3559047, 4448800?\nAnswer: 5338551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3012.5603 - -3065.58. Let t = 52.28 + 0.72. Let y = q - t. Round y to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, -4, -7, -2 in ascending order.\nAnswer: -7, -4, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*11\/((-3234)\/(-63))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 7*g**2 + 7*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10808 is divided by 2158.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 5*t**3\/2 + 4*t**2 - t. List the prime factors of p(4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 2. Let f(p) = 2*p + 2. Suppose 3*o - 28 = -16. Let w(n) = o*f(n) - 3*m(n). Determine w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n - 15. Determine l(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6173886 divided by 3086943\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1790, 1615, 1436, 1253, 1066, 875?\n\"Answer: -2*v**2 - 169*v + 1961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2. Suppose -7*c = -11*c + 36. Let k(u) = -3*u + 15*u - c*u. What is j(k(p))?\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 72 = -5*d. What is the smallest common multiple of 55 and d?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 14. Let x be u(13). Is 333*x + (13 - 15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78*336579.2.\nAnswer: 26253177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 55*d + 2090. What is q(-41)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91746 or -91749?\nAnswer: -91746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-16 - (3 + -13 + 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 3*z**3 + 15 - 2*z**3 + (2 - 1 + 1)*(-4*z**3 + 4*z**3 + z**3) + 6217*z + 650*z**3 - 6217*z to the form a*z**2 + s*z + r + q*z**3 and give q.\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {u: 4, b: 15}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 64*x**2 - 18*x + 1. Let a(m) = -20*m. Give a(b(i)).\nAnswer: -1280*i**2 + 360*i - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 1.38. Let q = t + 0.779857. Round q to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckak when four letters picked without replacement from akkkckekaacac?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (15680\/(-35))\/14 - 7*-3\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182279, -182271, -182261, -182249, -182235, -182219?\nAnswer: -182201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*r - z - 8, -z - 4 = -r. Let l(k) = k**2 - k + 1. Let a(q) = q - 1. Let n(u) = r*l(u) - a(u). Let t(x) = -18 + 18 - x. What is t(n(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(1\/2)))**(-3\/23) assuming v is positive.\nAnswer: v**(-3\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*c = -115*c + 160. Solve c = -16*f + 72 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - h + 28434 + 12604 = 0. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000348345488 rounded to 6 dps?\nAnswer: -0.000348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255 by 4461.\nAnswer: -85\/1487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -472906, 3, -5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 324.1 - -2.9. Let i = -326.99 + r. Which is the nearest to 0? (a) i (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l = 5*l + 2928350. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85317241 to the power of 1\/3, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**10\/302400 - c**9\/60480 + c**7\/5040 - c**6\/1440 + c**5\/60 - 4*c**2. Let r(p) be the third derivative of n(p). Factor r(g).\nAnswer: (g - 1)**3*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = v - 2*u, 0 = 2*v + 4*u + 20. Let d be 7\/14 + 14\/(-44). Which is the third biggest value? (a) v (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 51.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 5 = 13. Sort b, -5, -4.\nAnswer: -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 33 - 60 + 27 - 3*w. Let c(m) = -7*m - 1. Calculate -2*c(n) + 5*g(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1151 and 30405967.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/60)\/((-3728)\/55920)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 2*z**4 + 2*z + 5*z - 3 - 5*z to a*z + m*z**4 + p*z**3 + f*z**2 + i and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -36125?\nAnswer: 36126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10949390.\nAnswer: 2, 5, 1094939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 16\/9, 5, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/149120 + 5216593\/129585280. What is the common denominator of -53\/4740 and x?\nAnswer: 52140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, d: 1, b: 2, q: 1, u: 1, h: 1}. What is prob of sequence uhg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.749 - 1.087. What is w rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/12)\/((-7685)\/424). Suppose b = q - 4, q - 12 = -0*q + 3*b. Which is bigger: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -220 + 234. What is the remainder when 34 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 12, -3\/118?\nAnswer: -3\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -129, -113, -81, -27?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30711 minus -21?\nAnswer: -30690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -367293 > -367293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 794 from -0.4.\nAnswer: -794.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -55*p + 389. Give q(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k - 443 = 75*k + 2824 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -85, -1059 in descending order.\nAnswer: 0, -3, -85, -1059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 + -0.09319277\nAnswer: -0.01319277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1139.5 + 1140. Put 8, i, 2.1 in decreasing order.\nAnswer: 8, 2.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 5*p**4\/24 - 4*p**2. Let o(u) = u**2. Determine b(o(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 414*-0.194\nAnswer: -80.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1269 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6 - 181*p**2\/2 + 10*p. Differentiate w(v) with respect to v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(3 - 1)\/(-2). Suppose x + o = -5, o - 2*o = -2*x - 10. Is y greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -0.2. Sort l, -1, 6 in ascending order.\nAnswer: -1, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/(-14))*((-945)\/147)\/45?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.652? (a) 3 (b) -4 (c) 0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/33 and -97\/765?\nAnswer: 8415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-1\/19)*y)\/(y*y**(-7))*(y*(y**11*y)\/y)\/y*y**(1\/3) assuming y is positive.\nAnswer: y**(1156\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, p: 1, n: 2, l: 2, d: 2, i: 2}. What is prob of picking 1 i and 3 o?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22.0058 * -1.1\nAnswer: -24.20638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-21))\/(378\/(-49))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**4\/12 - w**3 - w**2 + 2*w. Let f(d) = d + 1. Suppose -4*q + 2 = -2*q. Let m = 798 + -794. What is m*f(h) + q*z(h)?\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + -3 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -23 - 22. Let f be ((-1)\/(-155))\/(i\/249). Let y = 2\/93 - f. What is the nearest to y in 4, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/7 + 206*g**3 - 53937960*g**2\/7 - 173666420128*g\/7 - 152524352601472\/7.\nAnswer: 2*(g - 6203)*(g + 2308)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 8*m + 27*m = -286 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1 - (-2 + 5 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -499, -3952, -13323, -31570, -61651, -106524, -169147?\n\"Answer: -493*s**3 - s**2 + s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*u**2 + 14*u**2 + 2*u**3 + 9 + 9*u**2 - 59 to the form a*u**3 + d*u**2 + v + x*u and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((4\/32)\/((-2)\/(-24))*-18).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 93*s + 471. Determine h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/3, 30 in descending order.\nAnswer: 30, 1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1101101000 (base 2) to base 3\nAnswer: -1012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**4 - 955*k**3 - 192505*k**2 - 901845*k + 6747300 = 0.\nAnswer: -119, -9, 4, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12*x + 2. Let u(j) = -12*j - 2. Determine -4*h(z) - 5*u(z).\nAnswer: 12*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*j**4 + 2770*j**2 - 2770*j**2)*(2*j + 0*j - 4*j)*(-3 + 3 + 1)*(4 - 1 - 4).\nAnswer: 44*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-five eighths of a second?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/331 - 319\/993. Let c = 13 - 7. Suppose -c*o = -o. Sort 0.1, s, o in increasing order.\nAnswer: s, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/((-4)\/(-12)). Suppose -2*n = -2 - 0. Let i(o) = n - 2*o - u. Let y(t) = -3*t**2. Determine i(y(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137, 253, 371, 491?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1\/9, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003 a factor of 217863275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = 3*t - 5*t. Let i = 76525 - 76514. What is the remainder when t is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 0*a**2 - 1\/3*a**3 + 48 + 0*a. Let b(x) = -21*x**2. What is j(b(i))?\nAnswer: -441*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*n - 270 = -256*n + 116*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 787*n**5\/30 - n**4\/12 - 4*n**2. Let r be b(-2). Round r to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12728 is divided by 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**4\/5 + 50*h**3 + 1286*h**2\/5 + 1814*h\/5 + 156 = 0.\nAnswer: -3, -1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o - 16. Let y be (1\/(-1))\/(o\/(-12)). What are the prime factors of (-1*(y - 1))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2599?\nAnswer: 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:07 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.17 - 0.47. Which is the smallest value? (a) x (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 46*o - 181. Calculate k(40).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 2*p**2 - 375*p**3 - 385*p**3 + 1136*p**3 - 373*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23957, 47996, 72049, 96122, 120221, 144352?\n\"Answer: q**3 + q**2 + 24029*q - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 6*n**2 - 3*n - 12. Let k be l(-6). Suppose -k*f + 15 = -f. Suppose m + 20 = -f*m, 282 = 4*y - 2*m. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46 - 46 + 4*p)*(-17*p**3 - 1 + 31*p**3 + 5) to k*p**4 + q*p + h + z*p**3 + u*p**2 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxz when three letters picked without replacement from {h: 5, y: 1, x: 2, z: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 139.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3034 - 4?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -739, 1\/5, 0.15 in decreasing order.\nAnswer: 1\/5, 0.15, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6866 and 392.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2407 - -3277. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*21.08.\nAnswer: -379.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2.6. Let o = 0.002 + 0.298. Let b = d - o. Do -35 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6986549951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 4 + -6 - -1. Put x, 6, 0.3 in decreasing order.\nAnswer: 6, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 11, 35, 57, 77, 95, 111?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/8*-2). Let y = 4 - l. Calculate the remainder when 11 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*k**4 + 108*k**4 - 78*k**4 + (-3*k + 0*k + k)*(0*k**3 + 3*k**3 - 2*k**3) - 2*k**4 - 18*k + 18*k.\nAnswer: -29*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 573426419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:05 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {j: 7, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7056827269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008839481 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 13 + 25 + -39?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**3 + x**2 - 5*x + 2. Let y(m) = -5*m + 128. Let w be y(26). Let b(o) = 3*o**3 - o**2 + 2*o - 1. Give w*z(n) - 5*b(n).\nAnswer: -n**3 + 3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/(13 + (-435)\/30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -4 + 3)\/1. Suppose -10 = s + 4*f, -f = -i*s + s - 2. Which is smaller: 2\/5 or s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 10*d + 15. Let f be s(11). Suppose f*o - 72 = -64. Suppose o*i = -37 + 245. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -11) + -13 + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.08, -0.2, 2, 146?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 5. Let c be m(-5). Let a be -7 - (-11)\/1155*679. Which is smaller: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -82796*x - 82800*x - 18 + 165596*x - 1509*x**4 wrt x.\nAnswer: -6036*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + k - 43485, 0 = -5*i + 4*i + 5*k + 8723. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.2, -6\/11, -4, 3, 1\/5 in ascending order.\nAnswer: -4.2, -4, -6\/11, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -939 - -635. Sort x, -2, 4 in decreasing order.\nAnswer: 4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*l**3 + 40*l - 20*l - 130*l**3 - 20*l.\nAnswer: 213*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29826033 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1\/d**(-4\/9)*d**(-2\/7)*d*d*((d*(d**0*d)\/d)\/d)\/d assuming d is positive.\nAnswer: d**(136\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -127921 + 4352.7875?\nAnswer: -123568.2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**2\/7 - 379193624*j\/7 + 17973475560281672\/7 = 0?\nAnswer: 94798406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-14)*(-8)\/440. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/4 + 1\/2. Calculate the remainder when 73 + -2 - (0 + n) is divided by (-126)\/(-24)*(-1 + 5) - -4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*m = 8490, 4*m - 27550 = -4*z + 6266. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 - 8*k - 13. Calculate o(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - (-4 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z - 4*k = -50, 4*z + 2*k - 70 = 0. Solve z = -m - 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 36*l - 75. Let v be (1\/3)\/((-27)\/2754). Determine k(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/75645367 and -38\/118871291.\nAnswer: 832099037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 997 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -43781.4 = -0.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 k when four letters picked without replacement from kseukfxeeks?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r**2 + 0*r**2 + 63 - 64 - r**3 to the form w + z*r**2 + v*r + d*r**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -29359 rounded to the nearest one hundred?\nAnswer: -29400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + j**4 + 3*j**4 + (-4 + 4 + 2*j)*(0*j + 0*j + j**3))*(-59*j - 78 + 78).\nAnswer: -413*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) + -1)*4 + 3 - -3*((sqrt(450)*-2)\/sqrt(10))**2.\nAnswer: 4*sqrt(5) + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/(-10) - 4\/10. Let o = m - -1. Suppose o*t - 29 - 3 = 0. Solve 4*d + r = t*d + 11, -2*d = -3*r + 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 - 242. Calculate the least common multiple of (-24)\/(-30) + 502\/k and 34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9920, -19841, -29762?\n\"Answer: -9921*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*m*y**2 - 2*a**3*y - 3*a**2*m*y**2 - 40*a**2*m*y - a*m*y + 3*a*m + 19*a*y**2 wrt y.\nAnswer: 4*a**3*m - 6*a**2*m + 38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 60.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**3\/k)*k**(2\/29))\/(k**(-2\/3))**(-25) assuming k is positive.\nAnswer: k**(-1444\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -268a9 (base 15) to base 16\nAnswer: -1e243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 3*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4776201 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2244941 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21075.8 and -1.4.\nAnswer: 29506.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3, -25, 5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*b**2\/5 - 566599557*b\/5 + 377733042\/5.\nAnswer: -3*(b + 62955507)*(3*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009875109?\nAnswer: 11, 4813, 37963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19888 and 3927.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1461954, -2923914, -4385874, -5847834, -7309794, -8771754?\nAnswer: -10233714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmlunlmumujmhmml. What is prob of sequence mm?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/6 + (-2)\/4. Let b be (0\/(-10))\/(4 + w + 0). Let m = 2 + -4. Which is smaller: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 5*a + 6. Let u be m(-5). Let g(i) = i**2 + 4*i - 56. Let c be g(6). Solve 0*d - 2*n = d + u, -3*n = -c*d + 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21\/10 - -23\/10. Let w = -0.1 - 0.9. Let l = w - -0.8. Which is the smallest value? (a) 1\/4 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*s**3 + 3*s**4 - 5*s**4 - 1 + 0*s - s - 2*s in the form z + f*s**2 + b*s + c*s**3 + g*s**4 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 828 and -12176.\nAnswer: -11348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 278 (b) 0.5 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*v + 170*v - 98421 - 1038435. Does 57 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1 (c) 0.1 (d) -0.031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2365484 and 296?\nAnswer: 4730968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17153 - 3?\nAnswer: 17150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 4)*((3 + 1 + 0)*(2 + 3 - 3) - 3 + 0 + 1)*(-q + 3*q + 4*q).\nAnswer: 324*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*f + 363 + 161 = 0, 0 = -5*c - f - 663. Let m = c - -365. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = j + 3*t - 10, -2*j + 3*t + 42 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/28560 and 47\/6120?\nAnswer: 85680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**4\/3 + 2948*i**3\/3 - 1086338*i**2 - 5315*i. Determine b, given that r(b) = 0.\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11216 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/(-48)*(((-4293)\/(-612) - -3) + -10)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285 divided by -5.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 + 23*h - 15. Determine x(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 36979293.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165871.\nAnswer: 37, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-12) + 5\/10. Let c be (-5)\/((-140)\/147) + (-1)\/4. Is c less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + d**3)*(-2 + 3 - 6) + (-2*d - 5 + 4 + 0)*(2*d**2 - 2*d**2 - 5*d**2).\nAnswer: 5*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14415.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 43*q**2 + 17 - 8.\nAnswer: 43*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(-707*f**2 + 1255*f**2 + 1347*f**2 + (3 - 3 - 1)*(-2*f**2 + 4*f - 4*f) - 4*f - 4*f**2 + 4*f) as m*f**2 + p + w*f and give m.\nAnswer: 1893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*u - 33*u + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21296041 to the power of 1\/2, to the nearest integer?\nAnswer: 4615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rirooooodyxorir. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -100, -6649\/2, 3 in descending order.\nAnswer: 3, 0.1, -100, -6649\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*f - 2*m, -3*f + 5*m + 175 = 43. Suppose -4*x - f - 1 = 0. Let v(p) = 4*p**2 + 13*p + 23. Is v(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10827 (base 9) to base 10\nAnswer: -7234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 6*o**2 + 4*o + 3. Let p be s(5). Let i = p - -19. Let u be 1*(0 + 2) + 15. Calculate the greatest common divisor of u and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -161*n**3 - 116*n**2 + 9*n - 4. Let x(i) = -173*i**3 - 117*i**2 + 11*i - 5. Let l(o) = -5*t(o) + 4*x(o). Factor l(z).\nAnswer: z*(z + 1)*(113*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - (-122 + -9195)\/121?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 14*q**2 + 2*q - 11. Let x be c(14). Suppose 5*p = 5*s - 70, p + 4*s = 6*s - x. Let l be (5\/1)\/(-5)*p. Solve 2*w = -i + 6, 4*w - l = 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + -3*((sqrt(99) - ((sqrt(99) - (2 + sqrt(99))) + sqrt(99)))*-4 + (sqrt(99) + -4*(sqrt(99) + sqrt(99) + -2 + sqrt(99)))**2) + 1.\nAnswer: -36108 + 1584*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 0. Suppose y*r - 6 - 6 = 0. What is the third derivative of g**r - 7*g**3 + 21*g**2 - 28*g**2 wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i - 2. Let v(c) = -1. Give 2*k(l) - 6*v(l).\nAnswer: -16*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/3*-3 + 96. Suppose -25 + b = 11*m. Calculate the lowest common multiple of m and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 21 - m + 13 - 3*m + 7. Let c be t(-5). Let r(n) = -3*n + 15. Does 9 divide r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let w(g) = -45*g + o + 1 + 4 + 0. Is w(-5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4262330816?\nAnswer: 2, 179, 372061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1488*b**2. Let o(g) = 4*g**2. Calculate f(o(q)).\nAnswer: 23808*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 10:07 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.1 (c) 0.4 (d) 135 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1112161851\/35 + -31791398. Let k = n + 15343. Calculate the common denominator of k and -19\/195.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 9*o**2 - 7*o + 7. Let p(t) = t**3 - 12*t**2 - 8*t - 272. Let r be p(14). Give c(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 133 - 2*m + 90 - 167 + 2*m**3 to x + z*m + j*m**2 + c*m**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2452 (base 10) to base 12.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.022 - 29. Let h = k + 15.378. Let v = h + -15.4000214. Round v to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**5\/270 - 7*p**4\/108 + 8*p**3\/27 + 8*p**2. Factor o(j).\nAnswer: -2*(j - 1)*(j + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4761 and 556209?\nAnswer: 12792807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-3 + 2\/1). Solve -6 - 6 = d*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -591 - -875. Suppose -v + 187 = v + 3*k, 3*v - c = -k. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (200*t + 155*t + 188*t - 8*t)*(0*t + 3*t + 2*t) to o*t**2 + s + n*t and give o.\nAnswer: 2675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/198 and 76\/15.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 25*h**2 - 14*h + 2. Let y be q(24). Calculate the highest common factor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 12 + -9 - -23 - -3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -304 or -300?\nAnswer: -304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 11:15 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-45)*198\/((-18)\/(-3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from hkeehhhhhhej?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t + 4. Let f be x(2). Let b = -5 - f. What is the remainder when b is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 11:45 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = k, 9 = 3*f - 2*k - k. Let j be (f\/(-3))\/((-2)\/(-3)). Calculate the remainder when 5\/(10\/322) + 0 - j is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -5. Suppose -w*c + 5 = -10. Suppose 58 - 16 = c*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1994675 divided by -2?\nAnswer: 1994675\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.54 - -27.54. Which is the biggest value? (a) 29 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -71311.3914 and 188?\nAnswer: 71499.3914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3620*4\nAnswer: -14480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-57*(-3)\/((-18)\/(-3)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**3 + 2*t**2 - 18*t + 28. Determine w(2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffoffffffffof. Give prob of picking 2 o.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 19*z**2 + 3*z - 27. What are the prime factors of x(-20)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -453, -739, -1025, -1311?\n\"Answer: -286*g - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = l - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800683737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 4*l + 1. Let k be (1\/3)\/((-5)\/60). Give p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = h + 8511, 388*h - 391*h + 27 = 0. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3525249878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 52*s**2 - 16*s + 7. Let t(h) = -10*h - 34. Let n be t(-4). Let l(y) = 3*y - 1. Let z(o) = n*l(o) + g(o). What is the second derivative of z(a) wrt a?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {m: 1, h: 2, u: 4, o: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-10)*l)\/l*l)\/(l**(2\/11)\/l)*(l**(-1\/7)*l)**(20\/11) assuming l is positive.\nAnswer: l**(-510\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*z**3 - 5*z + 7325 with respect to z.\nAnswer: 45*z**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 26 and -53006497.\nAnswer: -53006471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1156486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -5*a - 10\/3*a**3 - 2\/3*a**6 + 0*a**2 + 0*a**5 + 0 + 0*a**4. Find the second derivative of u(s) wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.51 + 1.49. Let f = -0.431 + -17.269. Let q = f + x. Round q to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/144 and -7\/360048.\nAnswer: 1080144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 11. Suppose 268 = x + h. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -23eec6d?\nAnswer: -23eec69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 3*x - 4, 4*x = -2*z - 2. Let m(r) = 6*r**2 + 2*r + 1. Determine m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -98*c**3 + c**2 - 18*c + 8. Let r = 92 + -88. Let v be p(r). What is v rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - 142. Let p = x - -428. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -281314 (base 14) to base 9.\nAnswer: -2542612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 5*u**2 - 3. Suppose 23*x + 7*x + 42*x - 2088 = 0. Calculate the remainder when x is divided by p(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 12*j - 29*j + 11*j - 1. What are the prime factors of g(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 4, 0, -2, -364 in decreasing order.\nAnswer: 32, 4, 0, -2, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-32) + (-90)\/4. Is -22 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18153916 and 1408.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/110 and -109\/123706.\nAnswer: 618530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 20.7. Let n = -1.318 + y. Let l = n - -0.01799958. What is l rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 651801394?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g**2 - 56*g + 221. Let q(y) = 5*y**2 + 29*y - 110. Let i(k) = -3*l(k) - 5*q(k). What is the derivative of i(h) wrt h?\nAnswer: 4*h + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 + 276. Suppose -p = -2*w - 391. Let c(l) = -3*l. Let f be (-15)\/1 + 1 + 2. Let d(r) = r**2 + 12*r. Determine f*c(o) + w*d(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -249 + 229. Let a = -37.9 + 38. What is the closest to -1\/3 in g, -8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -1 (b) 2 (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5353783 and -4.\nAnswer: 5353779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15084.2 - -15090.3. Let v = -1 - 2. Sort 0, -1, v, y.\nAnswer: v, -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(528)\/(sqrt(11) - sqrt(176)))\/(2*(sqrt(6) + sqrt(6) + (sqrt(6) - (sqrt(12)\/sqrt(2) - sqrt(6)))))*4)**2.\nAnswer: 800\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284205853.\nAnswer: 3, 109, 1237, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*q - 106. What is the nearest to -2\/7 in 1\/3, -34, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 692 - 687. Solve -a*d + 5 = -2*o - 2*o, -5*d = 4*o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + ((-24)\/(-5))\/3. Let r = -60.2 + 11.2. Let n = r + 48. What is the closest to n in z, -5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1259.1 - -1259. What is the nearest to d in -0.2, -149, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 10:55 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39746 by 119.\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12979 = -19*t + 5812. List the prime factors of t.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 7 - 5)*(-15 + 15 - 14*f**2 + 1 - 1 - 2*f**2 + (0 - f + 0)*(-4*f + 3*f + 3*f)).\nAnswer: -180*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + ((-3 + sqrt(1088) + 1 + sqrt(1088) - sqrt(1088) - (sqrt(1088) + sqrt(1088)*-2*-6)) + -3)*5))**2.\nAnswer: 445440*sqrt(17) + 62682256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/(-51) + (-1487)\/(-3). Let c = r + 1148. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/1969 (b) 0.4 (c) 566\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - f - 5 = -4*c, 0 = -3*c - f + 10. Suppose 1006 = c*i - 767. List the prime factors of i.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1994702ng in micrograms?\nAnswer: 0.0001994702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(585\/52))\/(12*(-9)\/837)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/23 - 4054*u\/23.\nAnswer: 2*u*(u - 2027)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4307*w**3 - 6*w**2 - 12*w - 6. Let q(k) = 551296*k**3 - 767*k**2 - 1534*k - 767. Determine 767*h(d) - 6*q(d).\nAnswer: -4307*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {m: 2, h: 2, n: 1, u: 1, i: 1, q: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4717068.\nAnswer: 2, 3, 67, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 74475194 to the power of 1\/2, to the nearest integer?\nAnswer: 8630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o + 2 + o + 3*o**2 + o**3 - 6*o. Let m be t(-3). Suppose 5*z - 12 = 3*z. Solve z*k = k + m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*s)*(2 + 2 - 7)*(-2 + 7 + 10) in the form k + i*s and give i.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 - (-183 - -193) - (-3 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/961 and 38\/11.\nAnswer: 10571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - 0*q + c, 0 = -5*q + 2*c - 9. Let x be q\/(-2) + (-10)\/(-4). Suppose -6*i + x*i = -33. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3824*d + 7 + 12 - 4 - 15 as i*d + q and give i.\nAnswer: 3824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -4\/3, 13, 2, 1384\/11?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9))**44\/(h\/(h**0*h*h)*h**6) assuming h is positive.\nAnswer: h**(-133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - q + 7*m - 243 - 164 = 74*m, 23*m - 18*m = -30 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-3)))\/(m*m**12)*(m*m**(-1\/6))**(1\/46))**(1\/7) assuming m is positive.\nAnswer: m**(-2755\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7577620525891 and 0.007.\nAnswer: 7577620525891.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -280 or -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 12) in base 10?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 221\/4 + -56. Suppose 11*q - 4698 + 4621 = 0. Which is the closest to -0.4? (a) k (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.39? (a) -1\/3 (b) -0.4 (c) 41 (d) 1 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 271*n + 29243. Determine z(-108).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -87*m - 151. Calculate the remainder when j(-2) is divided by (3 - -2)*(-12)\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -4*p**4 + p**2. Let k(f) be the first derivative of f**3 - 6766. Give l(k(y)).\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m + 9. Let g be o(2). Let v = 6 - 8. Sort v, -5, g.\nAnswer: -5, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 + -96. Let b(l) = -l**2 - 13*l + 14. What is the units digit of b(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -292 - -1031. Let s = -340 + x. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11755*p + 11727*p = 672 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -258*w**5 - 48*w**3 + w**2 - 1570869*w + 1 wrt w?\nAnswer: -5160*w**3 - 288*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.9 - -19. Let t = 5.915 + d. Round t to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 3*a**2 - 5*a + 4. Let d be b(-5). Calculate the common denominator of (-364)\/(-9)*(-2)\/16 and d*((-30)\/(-44))\/(-3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*g = 10, 0 = 5*v + 2*g - 0*g - 13. Let i(f) = f**3 - f**2 - 4*f + 4. Does 10 divide i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m - 9. Let f be i(-5). Let o = 82 + f. Suppose 4 = o*z + 1. Solve 0*g = -3*g - 2*p - 3, p = -2*g - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hohhohhhhhhohooh.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -26*s**2 + 10*s - 5. Let c(g) = 25*g**2 - 8*g + 4. Let i(v) = -5*c(v) - 4*u(v). Let z(x) = -2*x. What is i(z(o))?\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 2:13 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k + 20, -505 = -m - 5*k. Suppose 91*n = 98*n - m. Calculate the remainder when n is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(1\/11)*(i**(-2)*i)**(4\/39) assuming i is positive.\nAnswer: i**(-83\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 5. Let r(n) = -1 + 1 - 3*n + 11. Let o be (52\/(-10)*-5)\/(-2)*(-4)\/8*2. Calculate o*w(f) + 6*r(f).\nAnswer: -5*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/1326*-831 + 19?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 0 (b) -1 (c) 33\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 5*a - 9. What is the remainder when 58 is divided by q(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + d + 727 - 682, 5*d - 15 = 5*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1648, 1662, 1684, 1714?\nAnswer: 1752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m + 1 - 5*m**2 + 3*m**3 + 1 - 2*m**3. Let u be t(4). Factor p + p**u - 2*p - p.\nAnswer: p*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/5)*w**5*(w**(-2)\/w)\/(w**(2\/21)*w*w) assuming w is positive.\nAnswer: w**(74\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 18*o - 75. Let z be j(12). Which is the fourth smallest value? (a) z (b) -5 (c) 0.09 (d) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p - 30. What are the prime factors of 24\/p*80\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 169*g**2 + 48*g - 147. What is the ten thousands digit of z(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0182 minus 0.6?\nAnswer: -0.5818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5564 is divided by 2777?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3609 < -292450\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 + 122*t**3 - 1506*t**2 + 5894*t - 4508 = 0. What is t?\nAnswer: 1, 7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -707, -2876, -6465, -11438, -17759?\nAnswer: -25392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 8*v - 2. Let u be q(7). What is the common denominator of (-8)\/(-56)*44\/(-8) and (-88)\/(-6)*u\/(-20)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4047\/630 + (-18)\/(-30). Let l = j - 43\/6. What is the third biggest value in l, 70, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-3) + 1214\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 4*y**2 - 78*y - 9. Let d be w(-7). Sort 78, d, 0 in descending order.\nAnswer: 78, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-57)\/84 + (-2)\/(-8). What is the fourth smallest value in -0.2, 2, 10, y?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2012623421\/205823904 + -6001\/151008. Let b = -1\/14993 + m. Which is smaller: -9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1245 - 1243. Solve 3*p = -i + 1 + n, 2*p = 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.03 (b) -0.3 (c) 4\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*a + 19 - 79. Suppose -2*h = -4*z - h + 62, -4*z - 4*h = -72. What is the third derivative of 17*q**3 + z*q**2 + q**3 - 8*q**3 - 2*q**a wrt q?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359099027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2016) + 5*sqrt(2016))*-6 - sqrt(2016))*2)\/(sqrt(50)*-2 - (sqrt(2) + 1*sqrt(98))).\nAnswer: 148*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -1\/40*n**6 + 0 - 1\/8*n**3 + 0*n**2 - 3\/16*n**4 - 9\/80*n**5 - 9*n. Determine d, given that r(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 4. Let x(k) be the second derivative of k**3\/6 + k**2\/2 - 672*k + 2. What is -n(q) + 4*x(q)?\nAnswer: 3*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 217500 and 35670?\nAnswer: 8917500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 246, -5, 0 in decreasing order.\nAnswer: 246, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-5)*d**3\/d*(d\/(d**(-1\/3)\/d))**43)\/((d**(2\/15)\/d)\/(d*d*d**6*d)*(d**(-1))**34) assuming d is positive.\nAnswer: d**(761\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**3\/9 - 4*t**2\/3 + 1639. Factor z(p).\nAnswer: -p*(p + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171907, -343819, -515731, -687643, -859555?\nAnswer: -1031467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-54)\/(-9) - 1\/(20\/128). Put -2.1, z, 42 in ascending order.\nAnswer: -2.1, z, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15426\/16283*(-19)\/39.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - x = 2, 3*x + 6 = -4*l + 5*l. Sort -30, -3, l, -2 in ascending order.\nAnswer: -30, -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/5*(-2)\/36*-30 - 3. What is the nearest to -1\/13 in -1, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 11*a. Let u be y(11). Suppose -2*x + 5*x + 600000 = u. What is x rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1836548 and 32100.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*f + 28. Let w(p) = p**2 - 5*p + 4. Let r be w(6). Suppose -f*l - r = -3*l. Calculate the greatest common divisor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1033819 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52467*g*o**2 - 426*o**2 - 14 wrt g.\nAnswer: -52467*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p**(-27)*p)\/p)*p**(-20)*p\/(p*p**(3\/5)*p*p)*p*(p**(-1\/4)*p*p)\/p assuming p is positive.\nAnswer: p**(143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 4:07 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + k**3 + k**3 + (6 - 2 - 3)*(k**3 + 0*k**2 + 0*k**2))*(-7 - 4 - 5)*(-3 + 3 + 4*k).\nAnswer: -128*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34*103\/3502*4\/262.\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -28, -39?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a kilometer in meters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1958751228 rounded to 5 dps?\nAnswer: 2.19588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9122 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -5527.\nAnswer: -11\/5527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -4, -0.012, 1\/9, 326, -3?\nAnswer: 326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 3243814877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 484140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 16 = 6*y. Let x(r) = -r**3 + 5*r**2 - 3*r. Let n be x(y). What is the least common multiple of 2 and ((-4)\/(-6))\/((-6)\/n)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*j + 181 + 127, 3*z = -3*j - 435. What is z rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s + 187. Determine r(24).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 28 - 1 + 7*j + 11 + 9. Let g(r) = 6*r + 45. Let s(a) = -5*f(a) + 6*g(a). Determine s(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -4, 55, -6 in decreasing order.\nAnswer: 55, 5, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.1151 rounded to one dp?\nAnswer: 37.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38116065 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4149968.\nAnswer: 2, 181, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88130492*y**3 + 203047441*y - 1?\nAnswer: 528782952*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 289, -3, 5, -1, 144, -21 in descending order.\nAnswer: 289, 144, 5, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.04. Let p = 3.04 - 0.04. Let u = -11.4 - -6.4. Sort u, g, p in decreasing order.\nAnswer: p, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 993 + 36.\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -23 + 10*s - 23 + 41 - 3*s**2. Let h be j(4). Let o(b) = -6*b - 42. List the prime factors of o(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 9 - 17 - ((-38 - -37) + -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*308\/99 - 113463\/(-36288)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 382568 by 4.\nAnswer: 95642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u - 1. Let s(t) = 372*t - 33. Calculate -18*m(l) + s(l).\nAnswer: 282*l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 + 68*v\/5 + 69\/5.\nAnswer: -(v - 69)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 72844*g**2 - 72447*g**2 - 1 + 0 + 3*g**2 + 0*g**2 - 2*g**2 + (g - 3*g + g)*(g + 3*g - 6*g) + 0*g - g**2 + 0*g.\nAnswer: 399*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Let j = -249\/4 - -62. Let k = 109 - 104. What is the third smallest value in k, j, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 - 104. Which is greater: 63 or l?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 759297704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmxn when four letters picked without replacement from gmzkknmmmmxgnmmzkkm?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5532\/14*(-7)\/11. Let g = -1115 + 863. Let v = k - g. What is the nearest to 1\/4 in v, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191499 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*u + 16, 2*u + 0 - 4 = 0. What is the remainder when 10 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3\/4 + 235*i**2\/4 - 775*i\/2 + 530 = 0. Calculate i.\nAnswer: -53, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2477844*l**5 - 767520*l wrt l.\nAnswer: -49556880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -172 - -245. Suppose -4*k = -5*f + 6957, -6948 = d*f - 78*f + k. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - (1*sqrt(272))\/sqrt(8)) + sqrt(34))\/(sqrt(200)\/sqrt(4)).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 885 + 3*u - 441 - 442 + 3*u - 3*u**2. Let r(k) = -2*k**2 + 5*k + 2. Determine -3*c(j) + 4*r(j).\nAnswer: j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 - 78 = -3*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 - 4 + 0 + 4.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/8)\/(b\/(b**(-15)*b)))\/((b**(7\/6)\/b*b)\/((b**(-17\/3)*b)\/b)) assuming b is positive.\nAnswer: b**(-521\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -49826 not equal to -49824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h + 2 = -3*s, 5*s + 4*h - 1 = 0. Let w = -3.6 - -0.6. Let k = -5 - w. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j + 35 - 35.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {i: 3, a: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 - -225. Let g = o - 41. Solve -5*f + 8 = -c - g*c, 0 = -4*c - 4*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1115902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -97.55, -5, 0.5, 4, 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h + 49 - 412. Let r(p) = -p**2 + 37*p - 126. Let b be r(h). Suppose -5*m + 91 = -4. Solve 2*v - y + b*y = -23, y = -4*v - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -52*k + 616. Let y be u(8). What is the greatest common factor of 2650 and y?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4762\/9 + -38435\/72. Let p(l) = l**2 - 5*l - 3. Let k be p(5). What is the common denominator of 915\/(-6)*k\/15 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/11, -0.06 in increasing order.\nAnswer: -1\/11, -0.06, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -11. Suppose -26 = -2*l - w. Is 10 a factor of (l\/6)\/((-6)\/(-45))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002834799 rounded to 7 decimal places?\nAnswer: 0.0000283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 32 = -u + t, 5*u - 52 = t. Let w be (u + -12)\/(4\/(-134)). What is the second derivative of 6*f**5 + 67*f**2 - f - w*f**2 wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-6)\/18*(-20)\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 4*t**2 + 3*t. Let j be m(2). Let x be -1*(-3)\/2*j. Let v be 8 + (1 + -1)\/x. Calculate the greatest common divisor of 72 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 668 and 167.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -286.92 + 276. Let u = s - -12.6. What is u rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 636 and 9.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/20*2 + (-44)\/(-10). Solve 0 = -9*h + g*h, -3*h = v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 + -27.1. Let r = q - -33.5. Round r to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*v, 0 = -2*i + 3*v + 14 - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b - 86*b - 48*b - 8*b.\nAnswer: -126*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1.786586ms?\nAnswer: 0.001786586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*c**2 + 114*c**2 - 139*c + 139*c.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 19266*t + 18. Let j(n) = -154112*n - 147. Determine -49*b(u) - 6*j(u).\nAnswer: -19362*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042 (base 8) in base 4?\nAnswer: 120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 29792 = 2*v, 4*v - 66024 = 3*z - 6435. Suppose -60054 + 22801 = -5*a - s, 2*a = -2*s + v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 79766 from -4.4.\nAnswer: -79770.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**3*h**2 - 120*d**3 + d**2*h**2 - 425*d*h - d wrt h.\nAnswer: -2*d**3*h + 2*d**2*h - 425*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 1, q: 1, n: 2, i: 1, v: 1}. What is prob of sequence qn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 155408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64026 and -0.07?\nAnswer: -4481.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140716.\nAnswer: 2, 127, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -47*x + 74. What is the remainder when 25 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 870968 and 23072?\nAnswer: 3483872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -48*-2\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -180, -458, -848, -1350, -1964?\n\"Answer: -56*i**2 + 2*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24101, 52045, 79987, 107927?\n\"Answer: -y**2 + 27947*y - 3845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138 - -969\/7. Let q = -0.5 + 0. Let d = q - -0.4. What is the third biggest value in 2, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -460847 from 15.9289.\nAnswer: 460862.9289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 92*v**2 - 216*v + 792. List the prime factors of d(89).\nAnswer: 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 65*j - 111. What is the units digit of i(-39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 12 - -16 - 7 - -40.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/3*(-6)\/4. Suppose -p + 4*o = -4, -a*o + 11 = 3*p - 1. Differentiate 2*k - 89 - p*k + 98 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3\/5 - 3672*x**2\/5 + 48468*x = 0. Calculate x.\nAnswer: 0, 70, 1154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8 = -1287. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/4899 - -122483\/19596. Solve 15\/4*k**2 + 5\/4*k**5 + 5\/4*k**4 + 0*k - j*k**3 + 0 = 0 for k.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5490967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 9 = 0, 8*b + 588 = 3*a + 9*b. Calculate the remainder when a is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.242 - 5.3. Round h to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(25 + -26)\/(1\/(-23)). Solve -3*r + 8 = 23, 5*r = -2*k - q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8118 and 18491?\nAnswer: 332838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from ctzbtttb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1473 is divided by 1430.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 54*i**2 - 71*i + 358. Calculate g(0).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfnfhhhhhfhnnfnhh. What is prob of sequence fn?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -25259 - 4877650?\nAnswer: -4902909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 times -1.86392?\nAnswer: 164.02496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o = 4*o - 33 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29201.\nAnswer: 29201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:26 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaabboabdoaaaa. Give prob of picking 2 o, 1 d, and 1 a.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169367, 338938, 508941, 679592, 851107, 1023702?\nAnswer: 1197593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2165037 (base 8) to base 15.\nAnswer: -b8183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780 = 87*p + 867 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6508987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001082 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, 0.4, 2, 5\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) 11 (c) -1\/555624\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74.3 + 74. What is the fourth smallest value in 5, n, -0.03, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.501 and -5330.\nAnswer: -82620.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (622 - 20*o - 622)*(-2 + 0 + 1) + (-3*o + 0*o + o)*(3 - 3 - 2) + 3*o - 5*o + 0*o as r + s*o and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-210)\/28)\/((-2)\/12*1). Let b = -35 + o. Calculate the least common multiple of 3*-1*1\/(-3) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a. Let m be i(1). Suppose 2*f - 20 = 4. Suppose 4*g - 22 = 2*x, -3*g + 2*x + 5 = -f. Solve 0 = 3*r - g - m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(0 - -2) + 1. Let y = r + -6. Calculate the greatest common divisor of 121 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c + 92 = 2*v, -4*v - 2*c + 176 = 0. Calculate the remainder when v is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4536)*3)\/(sqrt(512) - (sqrt(512)*-1 + sqrt(512))) - ((-2*sqrt(84) + sqrt(84))\/(sqrt(27)*-2))**2*4.\nAnswer: -28\/9 + 27*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 305*u + 4. Does 44 divide c(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25506*a*t**3 - 3*t**3 + 42*t + 82 wrt a?\nAnswer: 25506*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 59*k**2 - 2595*k + 93. What is m(44)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101554151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aba4 (base 12) to base 13.\nAnswer: -8848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1151 - -1436.7. Let q = 285 - x. Which is the third biggest value? (a) -3\/2 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -37, -148, -379, -772?\nAnswer: -1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19373.436 hours in days?\nAnswer: 807.2265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*-0.0621.\nAnswer: -2.2356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 4 + 5)*(0*q + 4*q - 3*q) + (-6*q + 2*q + 2*q)*(-27 + 15 + 29))*(1 - 3 - 3) in the form p*q + w and give p.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3560692 or 17803457\/5?\nAnswer: 17803457\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1290)\/4472)\/(-2*(-3)\/(-48))\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 11. Let v(m) = -5*m + 1. Let o(p) = -22*p + 9. Let a(j) = -o(j) + 4*v(j). What is -5*a(q) + 2*d(q)?\nAnswer: -4*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*v + 83 = 164*v - 2*o, v - o - 33 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2))**(13\/3)*(m*m**0*m)**(-50) assuming m is positive.\nAnswer: m**(-587\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.031\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -19*m**6\/60 + 17*m**3\/3 - 17*m**2. Find the first derivative of z(u) wrt u.\nAnswer: -114*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + f**3 - 2*f**2)*(2*f + 2*f**2 - 2*f + 2*f) - 804*f**5 + 59*f**5 - 145*f**5.\nAnswer: -888*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 396\/(-30)*-5 - (-178 + 197)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + 1.54. Let c = 6 + -5.6. Let i = r - c. Sort -2\/11, 2\/17, i.\nAnswer: -2\/11, 2\/17, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**4 - 33*x**3 - 2001*x**2 - 9936*x - 13608. Let k(i) = 2*i**4 + 8*i**3 + 500*i**2 + 2484*i + 3402. Let l(p) = 15*k(p) + 4*y(p). Factor l(d).\nAnswer: 2*(d - 21)*(d + 3)**2*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(1677\/182)\/(-43).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 0*u + 2*u + (-3*u + 2*u - u)*(-2 - 1 + 2) + (-2*u - 2 + 2)*(-2 + 0 + 1) + (1 + 3 - 5)*(4*u - 3*u + u) - 3 + 3*u + 3.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2765*a - 2*r - 12 = 2761*a, 4*a = 3*r + 14. Let m(c) be the first derivative of -23 + 17\/2*c**2 + a*c. What is the derivative of m(h) wrt h?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -743396*-31\nAnswer: 23045276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 52 - 62 = 14. Let m = 6 - 3. Calculate the highest common factor of f and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4 + 5. Suppose 0 = -v*i + 4*i - 9. Suppose n = 5*n - 180. Calculate the highest common divisor of i and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-33)*(-6160)\/(-1680).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(52) - sqrt(52))\/sqrt(4) + sqrt(13) + (-2*sqrt(637))**2.\nAnswer: sqrt(13) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 196\/84)\/5*(-12)\/46.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 4635360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/60)\/(1\/1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38446?\nAnswer: 2, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0 - 8. Sort 5, y, -1 in decreasing order.\nAnswer: 5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75263 + 229894. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.59? (a) 2 (b) -2 (c) 3 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 60572.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 6590817694.\nAnswer: -6590817692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1048\/249 - 133206\/30295. Let o = -4\/73 - k. Factor -o*h**2 + 0 + 0*h.\nAnswer: -2*h**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*o + 688005959 + 718494071, 3*x - o = 2109750006. What is x rounded to the nearest 1000000?\nAnswer: 703000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20307*r = 20327*r + 340 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1037*u. Let g(i) = -633154*i**2. Give l(g(q)).\nAnswer: -656580698*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven halves of a day?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 7*n**2 + 5*n + 13. Let i(w) = w**2 - 29*w + 6. Let p be i(29). Let t be h(p). List the prime factors of ((-19845)\/(-10))\/t + (-1)\/(-2).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {e: 2, i: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**10)**(1\/77) assuming x is positive.\nAnswer: x**(-10\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -157 divided by 7934.\nAnswer: -157\/7934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p - i, -5*p + 16 = -2*p + 5*i. Suppose 4*w = 20, -p*n - w + 36 = w. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10695686 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fop when three letters picked without replacement from {p: 1, f: 1, i: 2, c: 1, o: 1, r: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 449 + 338 - 1105 + 9*p + 496 to b*p + t and give t.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 3*z = 5, -55*z + 51*z = c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3185 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 28 = -4*m. Let w be (m\/2)\/((-12)\/24). Suppose -2*c = -w*c + 10. Solve -c*i = 3*i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24905*t**3 - 102*t**2 - 182528*t - 6.\nAnswer: -149430*t - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000550147344 to 7 decimal places.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 196.67 times 0.015\nAnswer: 2.95005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/4 + 6709669*a = 0.\nAnswer: 0, 26838676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -602.2292601 - -574.22926101. Let q = y - -28. Round q to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14951239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 60*v**2 - 2*v + 30*v**2 + 2 - 46*v**2. Let c be d(1). Let q = 49 - c. Solve -17 = 4*u - i - 0*i, -25 = q*u - 5*i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 5:29 AM?\nAnswer: 339","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*c**3*k**3 + 35*c**3*k - 4*c*k**3 - 10*c*k wrt k?\nAnswer: 468*c**3*k - 24*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 15*u**2 - 3252*u - 71817. What is p(237)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 7*u - 1. Let k be r(-7). Let d = k - -1. Suppose -4*z + 3 - 7 = d, 2*j - 2*z = 12. Solve 0 = 5*n + j*t + 15 - 0, 4*n + 4 = -2*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 77926*x - 2830. Let w(b) = -23378*b + 849. Let i(h) = -10*o(h) - 33*w(h). What is the first derivative of i(k) wrt k?\nAnswer: -7786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2107 less than 0.5?\nAnswer: -2106.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40884.\nAnswer: 2, 3, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -4, 0.04 in decreasing order.\nAnswer: 2\/17, 0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -n + 11. Let m be 44\/(-4) - (-3 - -1). Let z = 0 - m. Solve q = 6*q + 4*t - z, q - n = -3*t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 113*s - 14 = -111*s, 0 = -3*h + 54*s - 150 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13425762*o**4 - 14*o**2 - 502297 wrt o.\nAnswer: 322218288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 at most as big as 3454\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - (-15)\/(-28). Which is the closest to s? (a) -1\/2 (b) 3\/5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 114881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.95736 to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -225515 - 1?\nAnswer: -225516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*x - 51, 23*c - 60 = 22*c + 4*x. Let l be 8*(-1)\/(1\/(-1)). Calculate the highest common divisor of c and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from bbbbttb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by -7938.\nAnswer: -41\/7938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 400546 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 6*n**2 - 6*n + 5. Let h(s) = 3*s - 2*s**2 + 3*s**2 + 0*s + 6*s**3 + 1 - 2*s. Let b be h(-1). Determine v(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -60.014. Let x = k + -0.014008. Round x to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i - s + 5, 0 = 5*i - 3*s - 18. Suppose i*f = t + 2*t + 15, 5*f - 4*t = 23. Is 385*f - (8 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/6 + (-1 - -1). Let i = -9 + c. What is the remainder when 7 is divided by (0 - i) + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1110503808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y - 3*n - 8940015 = 37*y, 4*y + 5*n = 17879975. What is y rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**10*x))\/x**(2\/15)*(x**(-1\/2))**21)**(22\/7) assuming x is positive.\nAnswer: x**(-6809\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/210*222 + (-428)\/(-7490)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 226*f + 228*f = -3, 2*m - 30 = 5*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38930 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*f - 48 - 58, 0 = 2*l + 4*f - 52. Calculate the remainder when 107 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 6*t = 2528. Suppose t = -19*c - 64. Let o(a) = -a**2 - a. Let m(b) = 4*b**2 + 5*b. Calculate c*o(i) - 4*m(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1838.11 or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(19) + sqrt(19) + -3)*-1)**2 - sqrt(19)).\nAnswer: -425 + 65*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -453, -865, -1237, -1551, -1789, -1933?\n\"Answer: 3*w**3 + 2*w**2 - 439*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-183376)\/365)\/(2\/18*6\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -5*w - 4*u, 3*w + 3*u = 14 + 28. Let l(a) = 4 + w*a**2 - 4*a**2 - 2*a + 0. Is l(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -33175365.171 and 3.\nAnswer: -33175362.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30321351?\nAnswer: 3, 149, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 times -0.2277?\nAnswer: -39.6198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**6\/120 - t**5\/10 + t**4\/8 - t**3\/6 + 2*t**2 - 21. Suppose -6*c + 22*c = 64. What is p(c)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*o**2 + 57*o**2 + 6*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109683*i - 51908*i - 35743*i to q*i + g and give q.\nAnswer: 22032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -11.03. Which is greater: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 a when three letters picked without replacement from axaaxax.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 7*i**2 - i. Let o be h(6). Let f = -20 + o. Solve -5*l = -f, 3*l - 5*l = -4*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51056204*u + 13907094 with respect to u.\nAnswer: 51056204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490270792 divided by 23672.\nAnswer: 20711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1931 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 10*k**3 - 34*k**3)*((-4*k**2 - 2*k**2 + 4*k**2)*(-1 + 4 - 4) + k**2 + 0 + 0 + 2*k**2 + 2 - 2 - 2*k - 2*k**2 + 2*k + 4*k**2 + 4 - 4).\nAnswer: -182*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 598097940 and 2?\nAnswer: 598097938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**2 + 54. Calculate the remainder when 298 is divided by d(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 350406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10624 (base 8) to base 2.\nAnswer: -1000110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0529 - -2.8529. Let z = 159.9 + k. Round z to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from czzzaaacczaczcaaacm.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433, -1079, -2043, -3469, -5501, -8283, -11959, -16673?\nAnswer: -22569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:04 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25508035?\nAnswer: 5, 7, 23, 31687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37\/255 - -38\/51. Which is the fourth biggest value? (a) -2\/13 (b) 5 (c) l (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 16 = -4. Let c(v) = -9*v**2 + 8*v - 6. Let g(q) = -5*q**2 + 4*q - 3. Let n(t) = i*c(t) + 7*g(t). Let z be n(4). Solve 0 = 4*f - z*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 35. Let l(p) = -p - 3. Let c(w) = 4*w + 14. Let a = -33 - -58. Let r = a - 28. Calculate k*l(y) + r*c(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:25 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5709951 by 1903317.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 777.\nAnswer: 2\/777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 7 = c + 4*s, -109*c + 108*c - 997 = -124*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.2 or -2591601.1?\nAnswer: -2591601.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -95. Suppose -5*t + 2386 = -4*y - 411, k = 2*t - 2*y - 1120. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22903 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 492, 782, 1102, 1452, 1832, 2242?\nAnswer: 2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67685223313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3 + 1 - 8*y - 3*y**2 + 4*y**2. Let r = -407 - -415. What is l(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/8)*l**(-1\/2)*l\/(l*l*l*(l\/(l**(1\/7)*l))\/l*l)*l**(1\/2))\/((l*l\/l**(-2\/3))**41\/(l*(l*(l**1*l)\/l)\/l*l)**(-24)) assuming l is positive.\nAnswer: l**(-30797\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168287829 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -1\/20*v**5 + 1\/2*v**3 + 7\/12*v**4 + 5\/2*v**2 + 0 + 7*v. List the prime factors of h(7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-9))\/((-38)\/(-570))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 70*j + 13. Let n be l(35). Suppose -31 = -5*c - 2*f, 2*c - n = -3*f + 2*f. Factor -2\/3*s**4 + 0 - 1\/6*s**c - 2\/3*s**2 - s**3 - 1\/6*s.\nAnswer: -s*(s + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*f = -2*f + 304, -300 = -3*l - 3*f. Does 38 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546124 is divided by 546124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 483\/4 (b) -4393 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*z + 61*z - 133*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 129\/(-84) - (-30)\/24. Let x(j) = -j**3 + 7*j**2 + 9*j - 4. Let g be x(8). Let z = 6 + -9. Sort g, z, s in increasing order.\nAnswer: z, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11720)\/(-879))\/((-32)\/216*(-3)\/4)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 742, -0.2, 3, 28, -1?\nAnswer: 742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 7, 0.065 in descending order.\nAnswer: 7, 0.065, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 11*d**2 - d + 7. Let s be k(11). What are the prime factors of (-494)\/s - (-1)\/(-14)*7?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 307740 - 457139. Round b to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 4, -1567, -1\/11 in descending order.\nAnswer: 4, 3\/2, -1\/11, -1567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -262 + 279. Calculate the remainder when 45 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003196475 rounded to 4 dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + 3 + (sqrt(243)*2)**2 + (sqrt(243) + 2 + -2*sqrt(243))**2 + -4.\nAnswer: -27*sqrt(3) + 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*x**3 + 0*x - 2*x - 13 - 63*x**2 + 16 - x**4 + 2*x**4 + 78*x**3 to the form g*x**3 + q*x**2 + j + v*x + m*x**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2420\/13 + 9693\/52. Sort 3\/44, s, 3 in decreasing order.\nAnswer: 3, s, 3\/44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945746 is divided by 315245.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**3 + 28*g**2 + 4*g - 28 = 0?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2876 in -81, 5\/4, -3, -5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 1 - 5 + k**2.\nAnswer: 5*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-54)*-2*1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 146*b - 31*b + 33*b - 138 + 138 in the form z*b + q and give z.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x - 3. Let h(z) = -74*z + 34. Suppose -16*m + 55 = -11*m. Let j(w) = -25*w + 11. Let d(f) = m*j(f) - 4*h(f). Give 11*c(g) - 2*d(g).\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*l - 6. Let y be (24\/(-14))\/(18\/(-63)). Let s be ((-4)\/y - 0)*36\/200. Is s greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhqqhqlqmqhhlq. Give prob of sequence hq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100 + -10000?\nAnswer: 10100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4 = -7*j, 1058*p - 1063*p = -6*j - 2 + 8 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 = -4*v - 2*u, -4*v + 2*u = 8. Let f be -1*(20\/(-4) - v). Let c(q) = q**3 - 2*q**2 + q. Calculate c(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 8*k**2 - 7*k + 5. Let l be w(7). Suppose -4*x = -16, -l*y - 2*x + x = -229. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 9*x**2 - 6. Give q(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8844 and 918168.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/9 - 1252*x**3\/3 - 835*x**2 - 3758*x\/9.\nAnswer: x*(x - 3758)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 11 + -60 + 9 - 14?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sum -4395 and 1358185.\nAnswer: 1353790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22898159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 49456?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2611, 2609, 2605, 2599, 2591, 2581, 2569?\nAnswer: 2555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7625 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/(-33*33\/47916)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/5)\/(4\/20). Suppose -v - 2 = -m. Solve 2*q + b = m*b + 2, -5*q + 3*b + 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001011111 (base 2) to base 12.\nAnswer: b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) -4 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (2 - 1) - 1. Let v be (4\/12)\/(6\/(-18)). Which is the third smallest value? (a) 2\/21 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 1 = 5*i - 23, -4*i + 20 = -2*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) + -1 + 40\/6. Suppose j*o + 113 = 785. Let w = o + -63. Is -1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/5 + (3 - 0)*4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/2448 and -101\/1530?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111101011000001111 (base 2) in base 11?\nAnswer: 320925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10123223 (base 4) to base 11\nAnswer: 12705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*l**3*w**3 - 6*a*l**3 - 2183*a*w - 3*l**3 + 9827*l**2*w**3 - 12*l**2*w**2 with respect to a.\nAnswer: -4*l**3*w**3 - 6*l**3 - 2183*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 + 6*d**2 + 41*d - 19. Give g(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2. Find the third derivative of 0*i**2 + i**4 - 3*i**2 - i**x + 6*i**2 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) -0.3 (c) -24 (d) 0.49 (e) -0.2 (f) -2\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**2 - 186*n + 1015. Suppose -5*p = 5*f - 1460, -4*p = 3*f - 2*f - 292. Calculate the remainder when f is divided by t(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - f - 22743 = 1413, 5*f - 8020 = -n. What is the remainder when n is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3337, -3345, -3389, -3487, -3657, -3917?\n\"Answer: -3*b**3 + 13*b - 3347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 21*t**2 - 3*t - 2. Let a be f(-2). Let s = a - 48. Let m = 0 - -20. What is the highest common divisor of s and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 11) to base 16.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -702, -1, 1\/3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-44)\/242)\/((-1)\/22). Solve -u - 2*l = 2*l + 19, 17 = -3*u - g*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (0 + 2) - (-58 + -81 - -126)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {g: 3, h: 1, l: 7, q: 1, r: 1}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5873668 to the nearest integer?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-11) + 138\/(-33). Let i(f) = 5*f + 0*f**3 - 11*f - 3 + f**3 + 4*f**2. Is i(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4 + 12030*t**3 + 16088112*t**2 + 7185991296*t + 14307726336 = 0.\nAnswer: -1336, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5538 is divided by 437.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b + 13. Let k(l) = -9*l - 13. Let a(t) = 4*k(t) + 5*m(t). Let f = 3 + 6. List the prime factors of a(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 27 - -12 - (-5 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.6, -9.49?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -3.75. Let g = -0.25 + v. What is the third biggest value in 2\/13, -1\/4, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -12, 5, 166, 62 in ascending order.\nAnswer: -12, -10, 5, 62, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 112?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139*f**6 - 124*f**6 + f**4 + 16*f**2 - f**4 wrt f?\nAnswer: 1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23030)\/28)\/47*(-6)\/(-3)*1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9316 + -5261. What are the prime factors of l?\nAnswer: 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 207 in 0.1, -1.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -139.57.\nAnswer: 418.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13023*o**3 - 63672?\nAnswer: -39069*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3554359 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 25490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79191.77 millilitres to litres.\nAnswer: 79.19177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 34*w**2 + 46*w - 15. Let l(f) = 24*f**2 + 31*f - 10. Calculate -7*l(x) + 5*v(x).\nAnswer: 2*x**2 + 13*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14917133 - 25?\nAnswer: 14917108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5)*v*v)**(1\/4))**32*(v\/(v\/(v*(v*v**(2\/7))\/v)))**4\/((v*v*v**(-1\/4))\/v)**(-18) assuming v is positive.\nAnswer: v**(2201\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 1450 and -175735.\nAnswer: -174285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = k + 7, -23*k = -4*v - 24*k + 21. What is the second biggest value in -4\/5, v, 5, -63\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-26)\/(-14))\/(-1). Let r be 2*((-18)\/(-4) - 2). Let h be (-2)\/r*(-5)\/(-1). Put h, y, -7 in ascending order.\nAnswer: -7, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -3802\/17 (b) 0.1 (c) -0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-3 - -2)\/(-132)). Suppose 2*l = -5*y - 0*y + 6, 0 = 2*y + 3*l + 2. Is (-1)\/y*-2 - p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2400129?\nAnswer: 3, 266681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, u: 2, c: 1, y: 6}. What is prob of picking 2 y and 2 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/13*t**4 + 38\/13*t**3 - 4\/13 + 30\/13*t**2 + 2\/13*t.\nAnswer: 2*(t + 1)**3*(7*t - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2 - 5 = 3*k, 0 = 5*b - 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from nnttnnnnnntntt?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from qqyyyyy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1390871608 to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 a factor of 3654324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 166.35 and -0.1342.\nAnswer: -22.32417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*t - 234 = 130 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -38*o**3 + o**2 - 28*o + 9. Let c be w(-5). Differentiate 13*j - 4999 - 50*j + c with respect to j.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/5, 1\/708, 0.2, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 20 - 44 - 62 + 2*j - j + 0*j + (2 + j - 2)*(-3 + 2 + 2) + 0*j + j + j + 2*j + 3 - 3.\nAnswer: 8*j - 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -5 + 7 + -4 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 19*i**2 - 280734*i. Let c(d) = 2*d. Give c(b(q)).\nAnswer: 38*q**2 - 561468*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 59927.\nAnswer: -4\/59927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 9. Calculate the least common multiple of 4 and j(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824.1 plus -376635.5?\nAnswer: -374811.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-2))\/(3\/2). Suppose 3*r - 7 = -4*w, 4*r - t*r + 3*w - 2 = 0. Let v(i) = 67*i**3 + i. What is the tens digit of v(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 - 452553331?\nAnswer: -452553404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a4 + -103345?\nAnswer: -103539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -111*i**3 - 2*i**2 + i - 11. Suppose -h + 10 - 4 = -5*r, -h = -4*r - 4. Is m(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 5*n**2 + 7*n - 4. Let p be z(6). Suppose t - 45 = -p*t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -971.01 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 6:06 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*w = -4*w - 273, 5*r - 4*w = 447. Let d = 611\/7 - r. Which is greater: 2\/3 or d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811570856?\nAnswer: 2, 9473, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4.4.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c. Let n(b) = 10*b - 2. What is n(l(k))?\nAnswer: 50*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/126)\/((-3)\/7)*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 36139e?\nAnswer: 3613a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (-9 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + 5 + sqrt(300) + 2).\nAnswer: -20*sqrt(3) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 52. Let h be (-4)\/6 + 1336\/y. Calculate the greatest common divisor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*b - 101*b = 518 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k**3 + 0*k + 0*k**4 + 0 + 57*k**2 - 1\/30*k**5. Factor n(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/3)\/n)\/n*n)**(-44)\/(n**(-3)\/(n*n**(-1)*n*n)))\/((n*n**(-2\/7)\/n*n*n**(1\/5))\/((n*n**3\/n*n)\/n**(3\/5))) assuming n is positive.\nAnswer: n**(3866\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -9, -4, -26\/3, 4, 1 in ascending order.\nAnswer: -9, -26\/3, -4, -0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -429700 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/53)\/(((l**(-1\/53)*l)\/l)\/l))\/((l\/(l*l*l**(2\/25)))\/l**(-1\/23)) assuming l is positive.\nAnswer: l**(63788\/30475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -53. What is the smallest common multiple of c and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-279))\/((-15)\/10)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**4\/4 - 17*i**3\/3 + 27*i**2\/2 + 100*i + 82. Is o(-20) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -4*h + 5*n - 570, 0 = -2*h + 3*n + 233. Suppose 11*b - 540 = -67. Calculate the remainder when h is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*i**2 + 18 - 12*i - 8*i**2 + 16*i wrt i?\nAnswer: -6*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1711\/6 + 283. Find the common denominator of h and (-21 + 6)\/(8 - 1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 5)*(-268 - 265 + 65*a + 113*a + 542).\nAnswer: 890*a + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba9 (base 14) in base 2?\nAnswer: -100100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35186131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/3 + 20*b\/3 + 16 = 0.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -0.9. What is the closest to y in 2\/51, -2\/5, 0.5?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**3 - 3*b + 1\/2*b**2 - 14 - 1\/4*b**4. Determine k(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2794*z - 3616*z - 34478*z.\nAnswer: -35300*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*z = 2416 - 192, -4*v + z - 4457 = 0. Let f = v + 609. Calculate the common denominator of (f\/(-240))\/((-21)\/(-9) + -2) and 45\/34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -41*w**4\/11 - 103*w**3\/11 - 62*w**2\/11 = 0.\nAnswer: -62\/41, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 85*s + 267*s + 135*s - 6.\nAnswer: 317*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/((-438)\/21*-1). Let z = p + 2655\/1022. Calculate the common denominator of 111\/22 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -37, -0.5, 1\/2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.65 + -0.85. Suppose 3*q + 0*d = d + 12, 5*q - 37 = -4*d. Suppose s - q*s = -40. Which is greater: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3675*b - 125346 = -126*b - 335*b for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q**3 - q - 4 - 5*q**2 + 0*q**3. Suppose w = 93 - 97. Determine p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1)**(7\/9))**(-23))**11 assuming a is positive.\nAnswer: a**(-1771\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 78213.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -29*v - 9. Let j = -303 - -312. Let d(x) = -7*x - 2. Let z(n) = j*d(n) - 2*b(n). Let g(r) = -2 + 2 - 4*r**2. Give z(g(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 + d - 59. Let h(n) = 13*n**2 + 3*n - 133. Give -9*c(z) + 4*h(z).\nAnswer: -2*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 12 = -3*k + 29, 0 = 4*k - 4*j + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474203 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, 16\/475, -2\/17, 4, 2\/7, 0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6640716?\nAnswer: 2, 3, 109, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 - 181. Solve d = -2*a - o + 5, 16 = -a + 6*a - o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 + d. Let t be c(-1). Let y be t - (-6 + 4 + 1). Solve -y*q - 16 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*y - 226, -2*i - 126 = -5*i + 5*y. Suppose -i = -s - 5*r, 5*s - 3*r = -0*s + 95. Calculate the remainder when s is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*x**2 + 182*x**2 - 522*x**2)*(4*x - 4*x + x).\nAnswer: -457*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 3 + 3 - 2 + 683*i**3. Suppose -o = 4*d - 17, 2*d - 15 = 5*o - 3*d. Is f(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5) + 4 + (-4*sqrt(180))**2 - (sqrt(180)*4 + sqrt(605)*3)**2)*-4*3.\nAnswer: 24*sqrt(5) + 160332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6878.\nAnswer: 2, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 14 (c) -526 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-36) - (-129)\/27. Let v = 48 - 30. Suppose 4*b - b = v. Solve 2*a = b, -4*f + o = 5*a - 2*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 799 divided by 1\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147586517.\nAnswer: 13, 873293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 + 61. Let z = y - -23. Which is the closest to -1? (a) 0.2 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/6))**0*(w**21*w)\/(w*(w\/(w**(-8\/9)*w))\/w) assuming w is positive.\nAnswer: w**(190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8639, -17639, -26583, -35471, -44303?\nAnswer: -53079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4430 * 126\nAnswer: -558180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23*-594\nAnswer: -13662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 49*u**3 - 21*u**2 + 73*u - 9. Determine d(3).\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1))**(-2\/17))**(2\/37) assuming l is positive.\nAnswer: l**(-8\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 43471070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 25*m**2 + 13. Let b(w) = 4*w**2 + 2. Let f(p) = -6*a(p) + 39*b(p). Let n(c) be the first derivative of -c**2\/2 - 14. Give f(n(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 35*m**2 - 57*m - 229. Calculate f(33).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzazazzaznn. 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: -100000011111000000001 (base 2) to base 13\nAnswer: -2b3669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1353*3.2.\nAnswer: -4329.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3412)\/8*(-7 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**4 + v**2 - 10*v**3 + 50 + v**2 - 50 to f*v**4 + b*v + a + c*v**3 + y*v**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21 - 2) + (-18)\/(-6). Let n = -2 + i. Calculate the smallest common multiple of 72 and n.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -16*g**2 + 21556*g - 26920 = 0.\nAnswer: 5\/4, 1346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635 (base 14) in base 3?\nAnswer: 100012120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48688*j**4 - 962*j - 13 wrt j?\nAnswer: 584256*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4002, 8783, 14352, 20715, 27878?\n\"Answer: w**3 + 388*w**2 + 3610*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Let s be 5*-7 - (t - 1). What are the prime factors of (-5 - -2) + 5 - s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6541196 milligrams in grams?\nAnswer: 0.0006541196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/20 and (180\/(-500))\/(84\/270).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4152 by -1384.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 3, -2 in increasing order.\nAnswer: -2, -0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/11)\/t*t*t**2*t)**(-4)\/(t**(2\/3)\/((t*t\/t**(-4\/7))\/t)*(t*t**5)\/(t*(t\/((t\/(t**(-1)\/t)*t)\/t*t)*t)\/t*t)) assuming t is positive.\nAnswer: t**(-5272\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 68484 = 8466. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151 + -43. Suppose 0 = -282*g + 33*g - 216*g + 9300. What is the least common multiple of c and g?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 9:34 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -52 (b) 1 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.65 - 0?\nAnswer: -130.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(880\/(-60))*11024\/(-636)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/9 - 232*y**2\/9 + 461*y\/9 - 230\/9.\nAnswer: (y - 230)*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 194613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -5. Let r be (-81)\/d - (-3)\/4*-2. Let u be (-32)\/(-14) + 2\/(-7). Solve 3*p + 5 = -5*b, -r*p = -2*p + 2*b + u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1238.45 and -67.5.\nAnswer: 1170.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - w + 8, -r + 6*w - 4*w - 7 = 0. Suppose -r*f = 5*i - 66, -22 - 12 = -2*i - 5*f. Suppose i*d - 5*d = -8960. Round d to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let s(i) be the second derivative of i**4\/3 + 4*i**3\/3 - 21*i**2\/2 + i - 12. Let v(h) be the first derivative of s(h). Give v(w(z)).\nAnswer: 8*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 3*y + 6. Let i be b(4). Let s be 54\/10 - 4\/i. Find the first derivative of -1 - m**2 - s*m + 5*m wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 535 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -72. What is the greatest common factor of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103\/(-5) - (11 + 1695\/(-75) + 10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 495\/60 + 5\/(-20). Suppose 0*w - 2 = -w. Let b(i) = -i**3 + 5*i**2 - 2*i - 3. Let n be b(4). Solve w = o + s - z, n*s = 3*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 15 + 20 - 2*h)*(1 + 0 - 6).\nAnswer: 10*h - 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 3\/7 (c) 10865 (d) -9 (e) 22 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10452 and 40468?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 13*r + 18 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18414428?\nAnswer: 2, 4603607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46605253 + -12910253. Round l to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 13 - 17. Let l(r) = 7*r - 8. Let f(i) = 8*i - 9. Calculate x*f(c) + 7*l(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.002356 - 3.5225. Let m = -0.48 + n. What is m rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, q: 1, i: 1, j: 1, p: 2, y: 1}. What is prob of sequence jqzp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + 1 + 20089*i - 40165*i + 20083*i as w + c*i**2 + b*i and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -1764a?\nAnswer: -17650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 7 + 5. Let p = 702.1 - 702. Which is the closest to 0.1? (a) -5 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j, -144 = -4*k - 5*j. Suppose -2*c + 3*c = 24. What is the highest common divisor of k and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.647078 minus 0.00492?\nAnswer: 0.642158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9427*u - 9425*u - 11*k - 58 = -8*k, 36 = -2*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**5\/4 + 255*t**4\/4 - 2885*t**3\/4 + 9845*t**2\/4 - 3330*t + 1525 = 0.\nAnswer: -61, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 1 - g**2 - 3*g + 2*g**2 - g**3. Let a(l) = -5*l**3 + l**2 + 4*l + 2. Calculate the remainder when a(-1) is divided by r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (1 + (0 - 0)) - (-1 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 + 32 - 25 - 2*s + (-1 + 5 - 2)*(0*s + 3*s - 5*s) + 3 + s - 3 + 3 - 3 - s.\nAnswer: -6*s - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*m + 5*m + m)*(2 - 2 - 2) + 2*m + 0*m - m)*(-12*m**3 + m - m) to the form c*m + q*m**2 + h*m**4 + i*m**3 + a and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + n - 110 = -n, -4*m - 4*n - 60 = 0. Let g(y) = 48*y**2 + 20*y - 20. Let s(l) = 38 - 2*l + 18 - 7*l**2 - l - 86 + 33. Calculate m*s(c) - 3*g(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -42*j**2 + 0 + 0*j + 1\/12*j**4 + 0*j**3. Give n(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 727.2739m?\nAnswer: 72727.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 7:26 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:46 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33548941 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 41. Sort 2, -4, 0.3, z.\nAnswer: -4, 0.3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*r - 60*r + 4662 = 714. Let u(p) = 42*p - 3. Let q be u(2). Let k = r + q. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/(52\/(((-7410)\/19)\/(-13)))?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 701707567?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 53?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1463 - 1507 = -u. Solve -6*y = 5*y - u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -40. Suppose -17 = -w*u + 4*o, 2*u - o + 0*o = 8. Solve u*j + 5 = -5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 6 - 24 - -6) + -13 + 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1151, -3973, -7477, -10685, -12619, -12301?\nAnswer: -8753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 8. Let -3*h**2 + 0*h**2 - 2*h + 4*h**k = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-84)\/2)\/(-2) - 1. Let a = -10 + z. Let h = 44 + -24. Calculate the smallest common multiple of a and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/6 + r**3\/3 - r**2 - 12*r. Give z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d6 (base 16) to base 5.\nAnswer: -1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1551602083?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*32\/(-720)*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -3323224.\nAnswer: 13292896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -291.3 to the nearest integer.\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73101*n**2 + 64523*n wrt n?\nAnswer: 146202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) -3\/5 (b) 0.3 (c) 2\/5 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7379197?\nAnswer: 7, 1054171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-710)\/(-2) - 1 - (-11 - (-66)\/6) is divided by 354.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 4*p**2 + 5*p - 3. Let b(q) = q**3 + q**2 - q + 1. Let i(w) = 2*b(w) - g(w). What is the units digit of i(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -876*m + 876*m - 199355*m**3 + 199349*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.3104, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - 3*w - w + 3*w + 9 in the form y + o*w and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/26)*q*q**(-9) assuming q is positive.\nAnswer: q**(-183\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(3\/4))\/(w**(-1)*w)*w**(-5)\/w**(-5)*(w*w**1)**(-26)*w\/w**(-6)*w*w*w**(2\/7)*w*w assuming w is positive.\nAnswer: w**(-1105\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867723*m**2 + 0 - 867730*m**2 + 1.\nAnswer: -7*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16148483 and -0.4.\nAnswer: -16148483.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 282*v - 280*v - 3*m + 24, 6*v - 28 = -m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15 - 2806*y**2 + 74*y - 3377*y**2 - 18*y - 5942*y**2 + 48*y wrt y.\nAnswer: -24250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 95 - 15. Calculate the greatest common factor of 16 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04224096 times 0.04\nAnswer: 0.0016896384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) -1 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**4 + 5 - 30*w**2 - 3*w**3 + 32*w**2 + 3*w**3 to the form q*w**2 + f*w + n*w**3 + o + i*w**4 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*i + 1355 + 2947, 0 = 5*i. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 + 2*z**2 - 1. Let i be c(1). Suppose 2*y - i = 2. Suppose y = l - 11. Calculate the remainder when 25 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61629317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 5*q**2 + 2. Let p be k(-5). Let w be p\/10 + 12\/(-30). Which is the second biggest value? (a) 5 (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 253.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -10*t + 4. Let r(z) = -14*z + 5. Give -2*f(x) + 3*r(x).\nAnswer: -22*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 121 - 120. Which is the closest to 2\/3? (a) 5 (b) -2\/5 (c) 4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 3*d + 1. Let q be g(-4). Suppose 2*j + q*o = 33, -5*j + 0*o + 10 = -2*o. Let c be j\/3*18\/6. Solve -3*p = -11 - c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((57\/9)\/(-1))\/((-1)\/(-48)). Let b = p + 2295. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438\/5 - 6\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1941\/5 - 388. Sort -7, -0.1, q in ascending order.\nAnswer: -7, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/s)\/s**(2\/9)*s**(-2)*s**(-5) assuming s is positive.\nAnswer: s**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l + 1. Let x(j) = j**2 + j. What is b(w) + 3*x(w)?\nAnswer: -w**3 + 3*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, and 1 b when three letters picked without replacement from {x: 4, r: 5, a: 6, b: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1876*n**3 - 3063 wrt n?\nAnswer: 5628*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110 (base 2) to base 5.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43841925*j**4 + 3*j**3 + 79217569 wrt j.\nAnswer: 175367700*j**3 + 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2788269 is divided by 2119.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3202213142 - -4?\nAnswer: -3202213133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5)*t**(-3)\/t assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7019*b*j**3 - 115*b*j**2 - 2*b*j - 37933092*b wrt j?\nAnswer: -21057*b*j**2 - 230*b*j - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b - 5*b**4 - 120*b**2 + 125 - 30*b**3 + 48*b - 20*b**3 - 4*b - b.\nAnswer: -5*(b - 1)*(b + 1)*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420127 is divided by 143?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*u**5 - 4*u**4 - 707*u.\nAnswer: -740*u**3 - 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*t + 155, 4 = 2*f - 6*f. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:21 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000 + -132?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/50*(-8)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (178 + -180)*(1336\/112 + 9\/(-21))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1577 = 32*p - 1321 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - 3*sqrt(144) - sqrt(144))\/sqrt(3))\/((sqrt(300)\/sqrt(5) + sqrt(60))\/sqrt(10) + sqrt(6)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 70. Let n be l\/(273\/(-108) - -3). Which is greater: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 23. Let w(f) = 16*f**3 - 2*f - 2. Let d be w(-1). Let g = d - x. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1216)*4)**2 + (-3 + -1*sqrt(1216))**2)*4.\nAnswer: 192*sqrt(19) + 316196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1343 - -0.18088. Let v = d + -0.046. What is v rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*o + 181*o - 66*o - 67*o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -327897 - v + 325958 + 3*v to the form r*v + c and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 3, w: 1, r: 1, f: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**3 + 8*n**3 + 18*n**3.\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/5568 and -65\/2589816?\nAnswer: 20718528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -22 in increasing order.\nAnswer: -22, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 + 114. Let m = 2 - 8. Let d = m + 5.7. Sort 0.1, b, d in descending order.\nAnswer: 0.1, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 7, -1, -23, -65, -133, -233, -371?\n\"Answer: -u**3 + 2*u**2 + u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {q: 6, f: 4, v: 2}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**5\/60 - 5*s**4\/12 - 4*s**3\/3 + 36*s**2. Let v(x) = -x + 1. Let h be v(8). Is n(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -5*12\/90 - 10\/30. Which is the third smallest value? (a) 0.08 (b) 0 (c) 0.2 (d) v (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.42 and -9707.\nAnswer: 4076.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 155\/217 - (2 + -1). Let w = -0.1 + 0.1. Which is the closest to w? (a) -3 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -2127, 26, -5, -3 in decreasing order.\nAnswer: 26, 6, 5, -3, -5, -2127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*j - 21*j = 238 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xssxxxhuussyuhsxuh. What is prob of picking 1 u and 1 y?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1344 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71377387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = 3*m - 6*m - 9, 0 = -y + 1601*m - 3192*m + 1602*m - 34 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 - 3*p**2 + 2. Let l be u(-2). Suppose 0 = -51*d + 57*d - 36. Suppose 0 = -2*v + 4*v - 8. Solve d = v*f - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1256 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**3 + 2*y**2 - 3*y - 11. Let i(a) = a**3 + a + 2. Let v(q) = -5*i(q) + x(q). Calculate v(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = 2*z + 48. What is the remainder when 214 is divided by z?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116.04 - 114. Let x = w - 0.04. Let m = 117 - 120. Sort x, -2, m in decreasing order.\nAnswer: x, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6421*t = -4275*t + 812896 for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 27\/8 (c) -4\/33 (d) 0.4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 8. Let w be z(0). Suppose 5*q - w = q. Suppose u = -q*u. Solve u = -3*d - 5*s - 20, -2*s - 4 = d - s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 516308534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -488 divided by 5\nAnswer: -488\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -26*x + 4. Let b be i(-9). Suppose 4*u = 870 - b. Let m be 2\/(-13) + u\/13. Calculate the highest common divisor of 24 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4308*t**3 - 3 - 25949*t**3 + 1 + 2 + 30263*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -544215 divided by 6?\nAnswer: -181405\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times 3\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - p - 18. Let x be u(0). Let r = -22 - x. Let k be 0 - r - 252\/28. Is k > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4348174.\nAnswer: 2, 1409, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 at least 735?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15 = -s. Suppose 0 = 2*p + 3*l, s*l + 2*l + 8 = -2*p. Suppose p*w = w + 25. Calculate the highest common divisor of 30 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 67. Suppose o = 5*d - 72, -2*d + 0*o = o - q. Solve -3*t - d = -0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/3)\/k*k**(-6)\/k*k*(k\/k**(-5))\/k*(k\/k**4)\/k*(k\/k**(2\/7)*k)**(-31)\/(((k\/(k*k\/k**(-3))*k)\/k)\/(k*k**(-3)\/k*k)) assuming k is positive.\nAnswer: k**(-1207\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (0 + sqrt(1900))**2 + -1 + (-1*-2*sqrt(1900) - (-1*sqrt(1900) + 3))).\nAnswer: 150*sqrt(19) + 9455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*f + 844 - 473 - 467 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4358 divided by -4358?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5 + 556*d**4 - 3462*d**3 - 15120*d**2 + 61992*d + 184032 = 0.\nAnswer: -284, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518657254 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9840 - -9850. Calculate the greatest common divisor of 9040 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 36 = -2*j - 0*w, -3*w + 88 = -5*j. Let i = j - -8. Let y be (-1 + 0)*i\/(-312). Is -1 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a - 16. Calculate l(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/8 - 9\/(-12). Let m(k) = k**3 - 5*k**2 - 9*k + 4. Calculate m(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 3919 = 10447. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/((-4)\/6) - -7. Suppose -w + 0 = -d. Solve 4 = 2*n - 6*u + 3*u, d*n = -5*u + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*n**2*v**3 + 40*n**2 + 5*n + 2*v**4 - v**2 + 2*v wrt v?\nAnswer: 204*n**2*v + 24*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**8\/24 - 13*f**4\/12 - 19*f**2. Find the second derivative of v(h) wrt h.\nAnswer: -280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 82*a - 67*a. Sort 1, -188, a in decreasing order.\nAnswer: 1, a, -188","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*9\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.174*104\nAnswer: 18.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 6) to base 14\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 6.3. Let k = -7 + s. Let i = 0.6 - 0.6. What is the nearest to -1 in k, i, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.79 and -9.\nAnswer: -10.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15582 and 153174.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(375\/(-10))*(-20)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 + 4\/10 + 2. Suppose 3*u = -n + 8, -3*u = c - 31. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*((-6 - -3 - -12) + 2504\/(-280))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 626 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/4 - 47*j**4\/4 + 1037*j**3\/2 - 1565*j**2\/2 - 89625*j\/4 - 84375\/4 = 0. Calculate j.\nAnswer: -75, -5, -1, 9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -17, -83, 0.05, 1, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129976 is divided by 670.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.01 - -1.9. Let g = l - -0.1138. What is g rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 91036062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35355226 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * -2250.7.\nAnswer: 3150.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (26 - 31) - -21\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16378, 32704, 48968, 65140, 81190, 97088, 112804?\nAnswer: 128308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -192196\/11659?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16640 and -12.\nAnswer: -199680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3818 + 133?\nAnswer: -3695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 246507 (base 8) to base 3\nAnswer: 11100000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -19*d - 21*d + 2 + 35*d. Let k(o) = -35*o + 15. Calculate 2*k(u) - 15*z(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u**2 - 2*u**2 - 3*u**2)*(-3 - 1 + 5)*(0 - 15 - 2) in the form i*u**2 + s*u + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.73256 and 93.71.\nAnswer: 90.97744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {l: 6, g: 3, q: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35143486?\nAnswer: 2, 7, 358607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -131\/3. Let y = 295 - 243.2. Let x = 52 - y. Which is the closest to p? (a) 1 (b) -1\/6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 7449804?\nAnswer: 29799216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*x + 29. Calculate the common denominator of x\/18 + (-2)\/((-16)\/36) and 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -6a?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -1.08295898.\nAnswer: 2.91704102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3\/3 - 22. Let w(h) be the third derivative of -h**5\/30 + h**2. Determine d(w(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 14*j + 8*j - 4072.\nAnswer: j - 4072","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3143 (base 6) to base 12.\nAnswer: -4b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 2*b**4 - 2*b**4 - 4*b**5 - 3*b**5 + 5*b**5 + (b**2 + 3*b**2 - 3*b**2)*(-b**3 - b**2 + b**2) + 8*b**5 + 50 - 9*b**5 - 159.\nAnswer: -2*b**5 - 109","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4.56+80900\nAnswer: 80904.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(((-4)\/(-300))\/((-6)\/(-20)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2122302210033 + -1?\nAnswer: 2122302210032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - i**2 - 16 + 3 - 22 - 17 as b + m*i + c*i**2 and give b.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 28 + 38. Let f = -8 - l. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 320556503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y. Let p(w) = 35*w**2 + 62*w**2 - 4*w**2 + 142*w**2. Give t(p(f)).\nAnswer: -470*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398 + 400*k + 201 + 197.\nAnswer: 400*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70728641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14964 - 16*n - 45049 + 15114 + 14971.\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 7 + 137 = 0. Find the second derivative of -s*n**4 - 34*n - 19*n - 19*n**4 + 3*n**4 wrt n.\nAnswer: -336*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -57962 - 130318. Let t = -90070 - y. What is t rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102.3 - 102.1. Which is the nearest to -6\/7? (a) 1\/4 (b) 38 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-13) + 212\/(-26). Let w(k) = -k - 5. Let j be w(h). What is the third derivative of -5*s**2 + 6*s**3 + s**2 - 5*s**2 + j*s**2 wrt s?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 551*v - 16566. Give u(30).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.496063442 rounded to 2 decimal places?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 6*r**5\/7 - 144308*r**4\/7 + 4373682*r**3\/7 - 44685660*r**2\/7 + 158540600*r\/7 - 48042000\/7 = 0.\nAnswer: 1\/3, 10, 24021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/33 + -8\/33. Let s = -0.145 + 0.081. Let u = s - 0.936. Which is the third smallest value? (a) r (b) 2\/19 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 10 in ascending order.\nAnswer: 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 12. Let n(w) = -w**2 + 9*w - 2. Let j be n(9). Let k = c - j. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6206)\/749)\/(24\/28))\/(1\/3).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 277830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + ((-8)\/(-14))\/(-2). Let s(y) = y**3 + 10*y**2 + 28*y + 15. Let w be s(-5). What is the biggest value in -5, h, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29790 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12265739 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3001 (base 6) to base 3.\nAnswer: -220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260706.1358 rounded to the nearest 100?\nAnswer: 260700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23867257?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(24)\/sqrt(6)) - (-1*sqrt(18))\/sqrt(9).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from ruowcrrwcc?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*m + 61*m = 175*m + 256 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 5. Let x(c) = -c**3 + 3*c**2 - 3. Let r be x(3). Let f be (1 + 3)*r\/2. Let p(g) = 0 + 2 - 3. What is f*p(h) + t(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 8 + -14 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 26*i**2 - 8*i + 45. Determine m(-26).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -41. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*w - 111*w + 24624 = 58*w for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 393 - 393.00314. Round x to 4 dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 12:04 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-9 - -12 - (-23)\/(1242\/351)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 11:38 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2996 and 210.\nAnswer: 44940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w - 33*w + 11*q + 3 = 0, 4*q + 1 = -3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31661374*v + 22807175 wrt v.\nAnswer: 31661374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 12 (c) -38 (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -18*n**2. Let w(b) = 6*b - 18*b + 15*b. Determine w(z(y)).\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8534112497 to four dps.\nAnswer: -0.8534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(1\/5)*z)\/z*z)**(-39)\/(z*z*z**(2\/7)\/z*z\/(z\/(z*z**13))))**(-21) assuming z is positive.\nAnswer: z**(10614\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Let v be 44\/(-18)*-3*l. Suppose 2*j = -5*f - 4 + 59, 2*f - 4*j = v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*2)\/(4\/46). Let o(t) = 9*t**3 + 10*t**2 + 3*t + 7. Let w(k) = 11*k**3 + 10*k**2 + 4*k + 9. Let h(l) = -6*o(l) + 5*w(l). Let b be h(10). Is n != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1162987275 to the nearest integer?\nAnswer: 34103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1. Let m(x) = 4*x**2 - x - 4. Let k(p) = -4*l(p) + m(p). Is k(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 107*m**2 + 13104*m + 5. Calculate t(-112).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 8:16 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/57739?\nAnswer: 8\/57739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 57. Let o(g) = -g**3 - g**2 - 2*g - 6. Let k be o(n). Find the third derivative of 2*d + d**2 - 17*d**2 - k*d - 14*d**6 wrt d.\nAnswer: -1680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/4, -3882, 4, 0.5, -2, -3 in decreasing order.\nAnswer: 4, 2, 0.5, 1\/4, -2, -3, -3882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 32569 (b) 4\/7 (c) 0.2 (d) -0.1 (e) -1\/6 (f) 4 (g) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/13))\/l*l**11*l*l)\/(l**(-1\/39))**(-1\/35) assuming l is positive.\nAnswer: l**(17954\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, v: 1, n: 1, a: 4}. What is prob of sequence av?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 + y - 4. Let j(a) be the third derivative of a**5\/30 - a**4\/12 + a**3\/2 + a**2 - 12. What is 4*j(m) + 3*n(m)?\nAnswer: -m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2044 - 423?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 268094 - 268093.857511. What is j rounded to 3 decimal places?\nAnswer: 0.142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 4*k**2 + 5*k + 4. Let g be v(-5). Suppose g*b + 5*d + 25 = 0, 5*d = b - 5 - 20. Solve 3*j = -b*j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89097019 to the power of 1\/2, to the nearest integer?\nAnswer: 9439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {y: 1, u: 7, l: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24298 and 4.\nAnswer: 24302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwzwdq. What is prob of sequence qw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27, 46, 65, 84, 103, 122?\n\"Answer: 19*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -404.\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.053?\nAnswer: 0.0159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + n. Let i(y) = -y**3 + 10*y**2 - 2*y + 4. Let h = 0 + -1. Let c(m) = h*i(m) - 2*x(m). Calculate c(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 14*p**2 - 220*p - 14. Let y(z) = 19*z**2 - 292*z - 19. What is -11*h(u) + 8*y(u)?\nAnswer: -2*u**2 + 84*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-638)\/203)\/11*15\/(-6)*14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -22*1*1\/(-1). Let r be (-28)\/154 - ((-276)\/c)\/3. Let y be ((30\/r)\/5)\/((-18)\/696). What is y rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + 0. Suppose 0 = -9*s + 4*s + b. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*n + 146 = 0, -32 = x + 4*n - 75. What is the remainder when 244 is divided by x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*j = 53*j + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 4*b + 240 = 0. Suppose 5 + b = 5*p. What is the greatest common divisor of p and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lplmv. What is prob of sequence lplv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86\/185 + -24517\/7770. Calculate the common denominator of z and -22\/57.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(20) - sqrt(20)*6) + (5 + sqrt(500) + -6*sqrt(500))**2.\nAnswer: -510*sqrt(5) + 12525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 79*x**2 - 72*x**2 + 8.\nAnswer: 7*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 576690 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -20526 (b) 42 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -342 + 345. Find the third derivative of -5*o**2 + 57*o + 16*o**s + 58*o**3 + 4*o**2 wrt o.\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5936 + -11863\/2. Let m(n) be the first derivative of 7*n - 13 - d*n**2. Differentiate m(t) wrt t.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 201819789?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 711 - 714 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773487391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 216?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 7\/3*t**3 + 1\/4*t**4 - 9\/2*t**2 + 7*t + 6. What is the units digit of y(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*p**2 + 2*p**2 + 7*p + 56*p**2 - 1 + 2*p**3 to b*p + r*p**2 + v + y*p**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438224, 876746, 1315268?\nAnswer: 1753790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 40 + 10 = 0. Let c(t) = 4*t + 6. What is the least common multiple of c(3) and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**2 - 2. Let v be (-4 + 1)\/(24\/(-20728)). Let u(c) = -2591 - c**2 + v. What is u(s(t))?\nAnswer: -81*t**4 + 36*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 6)*(-4)\/(-2). Suppose -4*q = -8, -n + 2*q = -3*q - u. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -176, -345, -626, -1019?\n\"Answer: -56*z**2 - z - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**4\/8 + 19*r**3\/6 + 47*r**2\/2 + 60*r + 4469. Factor l(f).\nAnswer: (f + 2)*(f + 5)*(f + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -245016 + 245005.6007. Round h to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-21 + 35) - -16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 3. Let g(h) = -h**2 - 5*h + 5. Let s(i) = -i**2 + 8*i - 4. Let d be s(7). What is d*g(y) + 5*k(y)?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 26*h + 88. Determine q(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1101222000122?\nAnswer: 1101222000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60129925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**3\/6 - 9*u**2\/2 + 6*u. Let z be c(4). Let f = z - -23. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10214.\nAnswer: 2, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1364978?\nAnswer: 2, 682489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725761 is divided by 100.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h - 2*h + 4*h. Let c(x) = 0 + 0 - 296*x + 297*x. Determine q(c(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 4. Let b(s) = 4*s + 12. Let r be b(-7). Let j = -16 - r. Let u = j - -1. Let t(w) = -w - 1. Calculate u*d(n) + 2*t(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.780476kg in tonnes?\nAnswer: 0.001780476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00533 rounded to 4 decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**3 + g**2 + 4*g + 4. Calculate z(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*u - 35*u + 30355. Is 467 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*l**2 - 168*l**2 - 263*l**2.\nAnswer: -76*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 2. Let i be j(5). Let k(v) be the first derivative of v**4\/4 + 2*v**3\/3 - 9*v**2\/2 - 3*v - 20. Let d be k(-4). Sort 0, i, d.\nAnswer: i, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1810*t + 1819*t = 0. Solve -f - 2*j - 7 = 0, -j - 7 + 2 = t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.61566786602832 and 5.\nAnswer: 4.38433213397168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + ((-104)\/60 - -2). Let x be 12\/(-8)*2\/(-33). Sort x, -0.07, t in decreasing order.\nAnswer: t, x, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f + 1008 = -2*b + 23*b - 14*b, -4*f - 5*b + 17 = -3*f for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -64. Let l = 31 + c. Solve -2*j - 2*t = j + l, t + 2 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2660 and 73\/55580.\nAnswer: 1056020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320778, 321484, 322190, 322896, 323602?\nAnswer: 324308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0157421598 to 4 decimal places.\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -877 - -1135. Suppose -3*j + 32694 = -g, 5*g - 10624 - k = -j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 15 = -0. Let s = 3 - l. Let p be (-4)\/3*(-3)\/2. Solve 3 = -j + 4*a + p, 3*j - s = 3*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 607*4.\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 69*((-1)\/15)\/((-117)\/(-195))*12\/(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2. Let p(c) = -c. Let o(i) = -2*i**2 - 2*i. Let m(f) = -o(f) + 2*p(f). Give m(a(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 486, 314, 0 in increasing order.\nAnswer: 0, 47, 314, 486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1389269147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2483286*y. Let w(f) = f**2. Calculate o(w(v)).\nAnswer: -2483286*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -10. Let g = 16 - a. Solve -3 = g*c, -14 = 5*s - s - 2*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 - 2. Let s(u) = 14*u**2 - 30*u - 50. Let p(k) = 4*r(k) - s(k). Calculate p(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)\/(b\/b**(1\/6))*b\/(b**(4\/9)\/b)*b\/((b**2*b)\/b))**(-21\/2) assuming b is positive.\nAnswer: b**(119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1343448234 to four decimal places.\nAnswer: 0.1343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, -46, -69, -94, -121?\n\"Answer: -d**2 - 18*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -14, 2, -387 in increasing order.\nAnswer: -387, -14, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -888*c**4 - 39*c**3 + 1825*c**2 - 10*c?\nAnswer: -21312*c - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 1, x: 1, h: 2, f: 1, t: 1}. What is prob of sequence yt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253105*x**2 + 8*x - 253107*x**2 - 8*x - 253106*x**2 - 253115*x**2 + 1012432*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*v + 11220 = -116*v for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7768 = -11144. Suppose 11*l = 4*u + 7*l - m, 3*l = -5*u + 7896. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*19\/2280*1\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/93 - 4\/18*3. Suppose 4*w + z + y*z = 19559, 3*z = 9. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*m + 87*m = -6340 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-11\/4))**(-2\/75)*g**23*g**(-1\/24) assuming g is positive.\nAnswer: g**(13819\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 763 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -855, -3\/73, -3, -2 in descending order.\nAnswer: 2\/9, -3\/73, -2, -3, -855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-6 + 3) - -2. Suppose 4*g = 3*v + 105, -58 = -2*g + p*v - 4. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -25. Let t be (-2)\/(-7) + (-162)\/r. Find d, given that -t + 378*d**4 + 48*d + 17*d**2 - 530*d**3 + 6*d**2 + 7*d**2 + 0*d + 882*d**5 = 0.\nAnswer: -1, -1\/3, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/130)\/((-2)\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((c**(2\/9)\/c)\/c)\/c*c)**(-46))**(-2\/49))**(-2\/15))**(-39) assuming c is positive.\nAnswer: c**(-38272\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 570860?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-7 - -6 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -2.1018?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -73148257.\nAnswer: 3\/73148257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*a - 256 = 178*a. What is the second derivative of 30*o**5 + 0*o**3 - 12*o**5 - 3*o**4 - a + 3*o**3 - 2*o - 3*o**3 wrt o?\nAnswer: 360*o**3 - 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 2, z: 3, l: 1, p: 3, e: 1}. Give prob of picking 1 e and 2 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*m - 16 = -l - 178*m, 0 = -5*l + 2*m - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1384 - -1388. Let g = 100 + -68. Calculate the greatest common divisor of g and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bf + -3?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -450712950250823974 - -450712947310541360.00000009. Let k = m + 2940282595. Let n = k + 19. What is n rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 6 = -4*v, -1 = 3*l - 0*l + v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43237?\nAnswer: 43237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211222121211 (base 3) to base 6.\nAnswer: -33030551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 1\/30*u**6 + 0*u**2 + 0 + 43\/42*u**7 - 62\/3*u**3 - 114*u + 0*u**5 + 0*u**4. What is the second derivative of i(g) wrt g?\nAnswer: 860*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/490*242 + 48?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1083039591?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25683?\nAnswer: 3, 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33\/36*(0 + 8 - (128 + -132))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 1)*(-3*y + y + 0*y)*(-3*y + 2*y + 0*y).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)\/((m*m**(6\/19)*m)\/m))\/((m*m*m*m**20)\/(m*m**(3\/11)*m)) assuming m is positive.\nAnswer: m**(-7115\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 14. Let i = 266 + -268. Let p be (i + 7)\/((-34)\/(-24) - 1). Give a(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-13)\/(-3) + -1\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -507 (b) 661 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -16?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15173 + 7662 - 6*l**2 + 7511.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6.369 - 282302\nAnswer: -282308.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*j**6)))\/j)**(-26)*j**(2\/9)\/j**(-2\/37) assuming j is positive.\nAnswer: j**(-51856\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3) + 0 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**5 - 3*k**5 - 3*k**5 + (-2*k**2 + 3 - 3)*(2*k**3 - k**3 - 2*k**3) + (-2*k**4 + 3*k**3 - 2*k**3 - 2*k**3)*(5*k + k - 4*k).\nAnswer: -3*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9719 (b) 0.2 (c) -29395\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 16 (c) 5\/6 (d) 5 (e) 9390 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/(-5*8\/20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10535.9 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -8. Let b = z - -3. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 7*m - 6. Let t be d(-8). Calculate the greatest common factor of t and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/25 - (-28)\/(-5). Sort r, 1, 4 in descending order.\nAnswer: 4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.07. Let w = h + 0.07. Which is the second smallest value? (a) 0.3 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*1 + (9 + -10 - -6). Let r = 158 - 635\/4. Which is the second smallest value? (a) t (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -1000?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -227*d**2 + 1731*d**2 - 229*d**2 as j*d + r*d**2 + y and give r.\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1790 is divided by 1683?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0911 - 5.0911. Let k(a) = -a**3 - 8*a**2 + 8*a - 9. Let c be k(-9). Let u = 1 - c. What is the nearest to u in 1, o, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*k = -2*a + 5, a = 3*k - 4. Let s(p) = -678*p**3 + 3*p**2 + 2*p. Is s(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -9850.27934?\nAnswer: 9850.77934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2158056637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*w = 55*w - 8. Which is smaller: 55\/7 or w?\nAnswer: 55\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 32*z**2 - 30*z - 3. Calculate n(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/13, 3295, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - f - 1. Let h(m) = 4*m**2 + 30*m + 41. Let s(d) = h(d) - 3*l(d). What is the tens digit of s(-32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721800291 a multiple of 514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -927356*c**3*u**3 - 8*c**3*u**2 + 36*c**2*u**2 - 6*c**2*u + 2*c*u**3 + c*u - 492 wrt c?\nAnswer: -5564136*u**3 - 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**6\/2340 + g**5\/130 + 3*g**4\/52 - 4*g**3\/3 + 5*g**2. Let j(p) be the first derivative of c(p). Factor j(i).\nAnswer: 2*(i + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11232 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + -6 + (91 - 80).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoooooloooooo. What is prob of sequence lo?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 115333.\nAnswer: -5766.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8))**(-1\/12) assuming l is positive.\nAnswer: l**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 l when four letters picked without replacement from lnloknollolalladon?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.215, -1\/9, -2 in ascending order.\nAnswer: -2, -1\/9, 0.215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3257641 - -3412126.6742359. Let g = a + -3412163.99962. Let b = g + 37. What is b rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.01, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 239433*y**5 - 4*y**2 - y - 5964 wrt y?\nAnswer: 14365980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, -0.3743, -2\/7, -1\/54?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-38)\/114)\/((-2)\/96). Let q be (-64)\/((-2)\/((-8)\/(-2))). What is the highest common divisor of a and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36872015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320 by 181.\nAnswer: 320\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1793*o**3 - 1447 - 1453 - 2*o**2 + 339*o - 1451 + 4351 wrt o?\nAnswer: -10758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 78 + 79 = -v, -4*x = 2*v + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - x + 3*x + 1 + 5*x. Calculate the remainder when 34 is divided by j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -25, -34, -41, -46?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*u + 6\/5*u**5 - 14\/5*u**3 + 0 - 4\/5*u**4 - 4\/5*u**2 = 0. Calculate u.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2434753295.\nAnswer: 5, 13, 59, 719, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 99 = 5*c. Let y be c\/4 + 7\/28. Solve 2*t + 3*t = -y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.26 + 4.35. Let s = h - -22. Sort -1\/3, 2\/3, s, -2\/7 in decreasing order.\nAnswer: 2\/3, s, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/p**19 assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 223 = 2*q, 9*d - 13*q + 15*q = 6*d + 133 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-275)\/1750 + 4\/(-28).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + r + 2*r + 0*r + 0*r + (3*r + 0*r - r)*(3 + 1 - 2) + 2*r - r + r)*(0 - 1 + 0) + 0*r - r + 3*r to x + q*r and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*n**2 - 17425*l - 5*n**2 - 26*n - 4 wrt l.\nAnswer: 2*n**2 - 17425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 11. Give b(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + g**3 + 0*g**3)*(-3*g**2 + 0*g**2 + 4*g**2 + (1 - 1 + 2*g)*(3 - g - 3) + 1 - 1 - 2*g**2 - g**2 - 2*g + 2*g + (-g + g**2 + g)*(-2 - 2 - 8)).\nAnswer: 16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28411\/92231 + 5\/1238. Find the common denominator of 93\/22 and u.\nAnswer: 3278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b**4 - b**4 - b**4 + (14*b + 4*b - 6*b)*(3*b**3 - 3*b**3 + 5*b**3) as l*b + d*b**3 + j*b**2 + k*b**4 + f and give k.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11202, -24612, -38024, -51438, -64854, -78272?\n\"Answer: -i**2 - 13407*i + 2206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 + -222. What is the remainder when -5 + (-1 - a) - (-2 - -1) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42305947.\nAnswer: 23, 197, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 7:20 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 4, 10, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbbbbbbqbb. What is prob of picking 2 b?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/39, 0.456 in descending order.\nAnswer: 0.456, -2\/39, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 13 = -3*s, -3*s - 5*y = 2*s + 45 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -0.145, -1\/3, -3.6, -0.1, -4, 14\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0093 - 0.2293. Let g = -1.85 - -2. Let s = p + g. What is the third smallest value in 3, s, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d**3*(((d\/d**(-3))\/d)\/d)\/d**(2\/5))\/(((d**(-6)\/d)\/d*(d**(-7)\/d)\/d)\/(d**(5\/4)*d**(2\/5))) assuming d is positive.\nAnswer: d**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-10)*1 + 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10963646 - 10927784.235. Let v = j - 36162. Let u = -299 - v. Round u to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-4)*(-1056)\/(-99). Let j(n) = 17*n**3 + 6*n**2 - 27*n - 11. Is j(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007562 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5783.53us to nanoseconds.\nAnswer: 5783530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 1. Let b be q(2). Is 3 a factor of 22 + (b - 6\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -33*q - 123. Determine w(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 12) to base 14.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1922620964 to the nearest integer?\nAnswer: 43848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-4)*(775\/375 + 9\/(-135)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 3*t - 15. Let p(c) = 9*c**2 - 3*c - 5. Let k(j) = -5*j**2 + 2*j + 3. Calculate t*p(a) - 5*k(a).\nAnswer: -2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22537997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in -0.76, -1, -5, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*-8*-33*40\/(-352)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949.8116 microseconds to nanoseconds.\nAnswer: 949811.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3350*q. Let u(h) = -3156*h + 3156*h + 2*h**2. Calculate u(b(f)).\nAnswer: 22445000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(3*(-3)\/(-135))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18280931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 142\/7739 - 3486\/(-109). Suppose -h = -i + 32, i + 5*h = h + 17. Is i at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*j + 2*j - 53*j - 180 = 0 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -29.\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261, 264, 275, 300, 345, 416?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*p + 39 = 0, 3*p - 11140 = -2*d - 11109 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*g - 44 = -103*g. Calculate the remainder when 63 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:48 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 8:42 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466303778?\nAnswer: 2, 17, 13714817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -279272, -279270, -279268?\n\"Answer: 2*a - 279274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3) - 9\/(135\/(-530)). Solve 26 = 5*j + a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t + 34*t = 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 579, 428, 109, -384, -1057, -1916, -2967?\n\"Answer: -i**3 - 78*i**2 + 90*i + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/9*(116\/16 + -7). Put -1\/5, -2, y, -1 in descending order.\nAnswer: y, -1\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -862, 51673?\nAnswer: 51673","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/3 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 15 = 2*m. Suppose 10*l + 5 = m*l. List the prime factors of l\/(-3) + 28\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 9:18 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwddddwdwdddwy. What is prob of picking 2 w and 1 d?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 96*d - 214. Let y(j) = 11*j - 24. Let l(r) = 6*k(r) - 52*y(r). What is l(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55551485?\nAnswer: 5, 11, 43, 83, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51616.39 weeks to seconds.\nAnswer: 31217592672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**5 + 0*g**5 + 6*g - 5*g**5 wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4472\/1365)\/43*20\/8\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12222020 (base 3) to base 16.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0312 - 2.4988. Let n = 2.1 + l. Let h = n + 0.23. Which is the nearest to h? (a) 0 (b) -4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:45 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 2. Let k(l) = l**3 + 3*l**2 + 5*l + 8. Let f(n) = 2*n**3 + 2*n**2 + 5*n + 8. Let j(v) = -2*f(v) + 3*k(v). Let o be j(6). Determine p(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at most 1751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-16)\/36) + -1*1. Suppose -3*b = 5*j - o*b + 3245, -1943 = 3*j - 2*b. Is 16 a factor of j\/(-10) + 1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5. Let w be (j + 0)*(-1)\/2. Solve g - 1 - 3 = w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y - 3. Let p = -24 - -26. Suppose 2*i - 3*n = i + 9, -p*i + 4*n = -16. Let m(v) = -1. Let q(w) = i*m(w) - 2*o(w). Calculate q(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75.3 - -75. Which is the nearest to -0.2? (a) z (b) 3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 2611*m - 2624. Calculate v(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l - 25 = -5*b, -22 = -5*b - 2*l. Suppose 0*h = -3*h + 12. Let i be 2*1*4\/h. Solve 18 = 5*o + b*w, -i*o + 3*w + 4 = 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/20 + 62*i**4 - 30752*i**3 - 2126*i**2. Determine d so that r(d) = 0.\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421987 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145274*i**6*v**2 + 243*i**2*v + 5*i*v**2 + i + 14*v wrt i?\nAnswer: 17432880*i**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 9*s**2 + 5*s - 6. Let r(a) = -8*a**3 + 26*a**2 + 14*a - 20. Let m(i) = 3*r(i) - 10*y(i). Factor m(x).\nAnswer: -4*x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l - 19 + 6 + 662*l**2 - 649*l**2. Let q(g) = -3*g - 2 + 3 + 2*g**2 + 3 - 6*g**2. Let z be -3*(26\/6 - 2). What is z*q(i) - 2*d(i)?\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 6:47 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2202281 is divided by 1032.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 437400 and 69929325.\nAnswer: 559434600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11788 and 117038.\nAnswer: 1638532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 - 1212*k**2 - 489648*k - 65939264 = 0. Calculate k.\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3295*b**3 - 10*b**2 - 42. Let u(d) = d**3 + 2*d**2 + 7. Calculate j(z) + 6*u(z).\nAnswer: 3301*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a. Suppose r - 8 = -r. Let c(y) = 0*y + 5*y - r*y. Give c(j(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - d = -824335, 5*y - 3*d = 2188213 - 814340. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -39642.12 and -5.\nAnswer: -39647.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 204172290 divided by -919695\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 3. Let f be (-8)\/(-2)*(-12)\/16. Let h be a(f). Is (-10)\/(-6) + (-1)\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -34*t**3 - 23*t**2 - 5*t - 5. Let g(w) = 36*w**3 + 23*w**2 + 6*w + 6. What is -6*a(i) - 5*g(i)?\nAnswer: 24*i**3 + 23*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3*69\/(-161). Let u = 0.5 - 0.3. What is the nearest to h in u, 3, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 - 6)*(3 + 2 - 7)*(-4*x**3 + 3*x**3 + 0*x**3) + (3*x**3 + 3*x**3 - 7*x**3)*(-1 + 5 - 2).\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198*-61.7.\nAnswer: 12216.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.03 + -0.03. Let f = -5 + j. What is the closest to 2\/5 in f, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2273*h**2\/4 - 1666111*h\/4 - 733\/2.\nAnswer: -(h + 733)*(2273*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272288 + -12288. What is a rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6127*m - 3391*m + 3447*m + 1843*m in the form q*m + x and give q.\nAnswer: 8026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let b be (6\/(-7))\/((-3)\/14). Let o(j) = j**2. Let d(u) = u**2. Let f(v) = b*d(v) - 6*o(v). Calculate x(f(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10944 and 58\/10953.\nAnswer: 13318848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2054)\/(-15405)*(-2670)\/4?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5732*t**2\/13 + 12158*t\/13 - 6426\/13.\nAnswer: -2*(t - 1)*(2866*t - 3213)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5836.372 millilitres?\nAnswer: 5.836372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let h(r) = 146*r**2 + 26*r - 19. Let i(k) = 68*k**2 + 12*k - 9. Let t(g) = 6*h(g) - 13*i(g). Determine t(l) + 3*w(l).\nAnswer: -5*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 20*u - 22*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*a**2*p**3 - 366193*a**2*p + 1774633*a**2 + a + 111 with respect to p.\nAnswer: -66*a**2*p**2 - 366193*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) 3\/4 (c) 3 (d) -2\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1429, -2862, -4311, -5782, -7281, -8814?\n\"Answer: -c**3 - 2*c**2 - 1420*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135813 or -129028?\nAnswer: -135813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/8)*f**(-3\/2)*f)\/(f**(-3\/2)\/(f*f**(-4)*f)) assuming f is positive.\nAnswer: f**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2181 - 1460. Does 27 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 12*l - l**3 + 0*l + (9 - 9 - 2*l**2)*(-2*l + l - l).\nAnswer: 3*l**3 - 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -583, -1116, -1649, -2182, -2715, -3248?\n\"Answer: -533*d - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 12) + -4 - -14 - 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (sqrt(2) + sqrt(2)*-2)**2 + (sqrt(162) - (-2 + sqrt(162)))**2 - (1 + 5 + -3 + sqrt(6)\/sqrt(3)).\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a decade?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108*(-1 - -6) - -7.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12510073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.089 - 1.911. What is the closest to p in -6, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0*c)**(3\/11)*(c*c**(2\/3))**(-3\/17))\/(((c**(1\/5)*c)\/(c\/c**(1\/4)))\/((c*(c\/(c**(-1\/6)*c))\/c)\/(c*c**(-1\/3)))) assuming c is positive.\nAnswer: c**(-2613\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 12*a = 4. Suppose a*r - 3*z = -z + 2238, -4*r + 4476 = 3*z. List the prime factors of r.\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9565 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*12439322\nAnswer: 37317966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 + r. Let p be x(-1). Let c be (p\/(-3) - -2) + -1. Let k(n) = -n**2 - n + 4. Calculate k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1456, -2\/11, 65?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 - 59. Let r = u + -35. Calculate the highest common divisor of r and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-847290.9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*z - 2*m + 56, m = -4*z + 105. Let x(y) = y**2 - 24*y - 34. Let s be x(z). Suppose 228 = 7*h + s. What is the remainder when h is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*d + 40*d - 1420. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1)*x**(1\/8))\/((x\/(x**(-1)\/x*x))\/(x*x**6\/x)))**(2\/3))**(11\/2) assuming x is positive.\nAnswer: x**(275\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.131 + 0.11. Let z = 0.439 - c. Let t = 0.2 - z. What is t rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8887 - -8854 - (-2 - 150 - 0).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 13896844 to the nearest 1000.\nAnswer: 13897000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 15614 (c) -3\/4 (d) 3 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 8\/15*d**3 + 0*d**2 - 4\/25*d**5 + 0*d - 20 - 1\/5*d**4. Determine l, given that y(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 73837, 73962, 74087, 74212?\n\"Answer: 125*s + 73712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1892593, -7570392, -17033399, -30281620, -47315061, -68133728, -92737627?\n\"Answer: -b**3 - 1892598*b**2 + 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-5))\/(60*23\/1840). Let d = 2 + -5. Let q = -8 - d. What is the nearest to 1\/2 in o, 3, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34\/((-2550)\/(-735)))\/((-17)\/((-1275)\/15))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57 - -4342012?\nAnswer: 4341733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30132 (base 4) to base 15\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040600 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 15) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -2\/3, 7, 0, 1791, -0.4 in ascending order.\nAnswer: -2\/3, -0.4, -1\/8, 0, 7, 1791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3430786*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.149176 rounded to 1 decimal place?\nAnswer: 111.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(-20*z + 10*z + 36*z + (-12*z - 5*z - 16*z)*(-1 - 3 + 7)) as y + g*z and give g.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -1 + sqrt(475) + (-2*(-1*sqrt(475) + sqrt(475)))**2)*1 + 3.\nAnswer: -10*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d - 5*j - 49 = 0, -5*j + 11 = 3*d. Find the common denominator of (-3)\/3 - (-121)\/d and 115\/(-15) - 10*(-30)\/(-200).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2843*z + 11365. Calculate b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 0*k**3 + 1 - 3\/4*k**4 + 4*k + 0*k**2. Find the first derivative of b(o) wrt o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 16*w + 63. Let l be i(-10). Suppose 26 = -5*d + 4*y - 15, -2*y = -l*d - 23. Which is the second biggest value? (a) -0.2 (b) d (c) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4967364, -4967359, -4967344, -4967313, -4967260, -4967179, -4967064?\nAnswer: -4966909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23257 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/240 and 82\/693.\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*p + 4, 0 = -4*p - p. Suppose f = -z*f. Suppose 2*h + h = 0. Are f and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Let s(j) = 5*j**3 - 2*j**2 + 1. Let w be s(1). Factor n**l - 3*n**2 + w*n**2 - 1 + 0*n**2 - n.\nAnswer: (n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*g + 4 = 88*g, -2*g + 777193 = 5*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {y: 1, x: 1, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.7968? (a) -2\/11 (b) 0.2 (c) 20\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 199720\/(-1467942)*7\/(-5)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10437 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 10. Suppose -4*a + 2*x = 2806, -c*x + 2908 = -3*a + 802. What is a rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 5, c: 5}. Give prob of sequence qczc.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*i - 12240 = 211*i + 33*i + 265*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*94\/188\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, -25, -93, -219, -421, -717, -1125?\n\"Answer: -3*d**3 - 2*d**2 - d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2. Let f(s) = -6281*s - 1. Determine h(f(g)).\nAnswer: 39450961*g**2 + 12562*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 740, 1004, 1280, 1568, 1868?\nAnswer: 2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105212 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7215 and 39405?\nAnswer: 512265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15064125*u**3 - 10437*u**2 + 42*u + 1 wrt u.\nAnswer: 90384750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-5)\/20)\/(2\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7761 in -0.3, -1\/3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*6\/4 - -160. Let z = -32 + k. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 30) + (-76)\/(-1254)*((-1257)\/6 + -3)?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(15\/9*9\/10). What is the third biggest value in u, -2\/15, -4, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 3*g**2 - g**2)*(-2*g - 3 + 3) + (-36234*g**2 + 15268*g**2 + 16805*g**2)*(3*g - 2*g + 0*g).\nAnswer: -4157*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/9 (b) 2 (c) 6 (d) -2\/111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1487690 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h**5\/8 + 99*h**4\/4 - 327*h**3\/4 + 159*h**2\/2 - 237*h\/8 + 15\/4 = 0.\nAnswer: -10, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0355 - -153100684.\nAnswer: 153100683.9645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1291, 1110, 933, 760, 591?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -c440?\nAnswer: -c446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**6\/20 - 185*v**3\/6 + 2*v - 8. Let w(i) be the second derivative of f(i). Let t(r) = 4*r. Calculate w(t(y)).\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -6*k + 77. Let p = 27 + -1. What is the highest common divisor of p and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227951.\nAnswer: 3, 19, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y - 33. Let f be j(-9). Let p = f - -40. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 120, 257, 390, 513, 620?\n\"Answer: -q**3 + 4*q**2 + 132*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0213 + 260.0213. Let w = -172 + v. Let d = w - 87.99999953. Round d to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 12:07 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5e5 - -2d6?\nAnswer: 8bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/140 - 5*l**4\/84 - l**3\/6 - 3*l**2\/14 + 8*l. Suppose n(b) = 0. Calculate b.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120 * -14.\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3107 + 65291\/21. What is the common denominator of b and 161\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6871629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-105993501.\nAnswer: 423974004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13265 - 13264.999944195. What is j rounded to six dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-14) + (-2000)\/(-420). Let c(s) be the first derivative of 5 - s - s**2 + g*s**3. Calculate c(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 219 = 207 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*o + 45819 - 6777. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 169884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzwzqqwwzzwzwzwqq. What is prob of sequence zz?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 534*t + 2. Let n(k) be the third derivative of -k**5\/6 - 4191*k**2. Determine q(n(w)).\nAnswer: -5340*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -5 (c) -2\/37 (d) -134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7967*u**3 - 3976*u**3 - 3983*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161816865 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/12 - 2989\/(-732). Solve 17*w - 84 = -s*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68394 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3149553 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 609 + -605. Suppose 3*k + 1 = g - 1, -2*g = 5*k - 15. Sort -4, g, f in increasing order.\nAnswer: -4, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 409268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, i: 3}. What is prob of sequence di?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l**4 + 15*l**3 + 22*l**2 - 33*l - 2038. Let r(a) = -4*a**4 - 8*a**3 - 12*a**2 + 18*a + 1019. Let z(m) = 6*k(m) + 11*r(m). Differentiate z(b) wrt b.\nAnswer: 40*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 2, i: 1}. Give prob of sequence sg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.2 + -59.6. Let b(z) = 2*z**2 - 9*z - 8. Let o be b(7). Suppose 7 = -4*j + o. Sort x, j, -2\/31.\nAnswer: x, -2\/31, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2157 + 2147.576. Let p = c - -0.124. What is p rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3cd7d + 4?\nAnswer: 3cd83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + 4\/(-10)*170\/(-17). Is -32 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 2*x = 0, -4420*z + 4421*z = 5*x + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*v - 3 + 1 + 2 + 471*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 8 + 8 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -14857989137051.\nAnswer: -14857989137050.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Let c = -31 - -27. Let a(h) = -3*h + 1. Calculate c*i(z) - 2*a(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 101110101011000?\nAnswer: 101110101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 59*x + 73*x + 165 - 85.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4295611, 8591222, 12886837, 17182456, 21478079, 25773706?\nAnswer: 30069337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1382, -2766, -4150, -5534, -6918?\n\"Answer: -1384*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 1. Suppose -10 = 6*y - 262. Let c = y + p. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/8)\/((-6)\/(-16)). Let b(u) = -6 + 6*u + 14 - 29*u**2 + 30*u**l. Give b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x**2 + 190*x - 94. Does 46 divide n(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6618 and -0.4.\nAnswer: -2647.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 15*t**2 + 56*t + 17. Calculate g(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -2132a86a?\nAnswer: 2132a86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -98, -719, -2378, -5585, -10850, -18683?\n\"Answer: -85*d**3 - 9*d**2 + d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w - 8 = -44*w. Which is the fourth biggest value? (a) 0.3 (b) -2\/15 (c) w (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2824*d - 951694. Calculate w(-337).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 0 - ((156 - 311) + 153).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 8*v**2 - 6*v - 8. Let y(n) = -n**3 - 4*n**2 - 5*n + 1. Let a be y(-3). Give q(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-183)\/(-244)*(-3)\/((-9)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 2 - 1)*(z**3 + 73423 - 73423) in the form y*z**2 + l*z + j*z**3 + c and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 37529.39 to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a**2 + 4 - 3 + 73*a**2 + 29*a**2.\nAnswer: 141*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 185*z = 186*z, -z = 2*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 129, 185, 239?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3*s**5 - 105979430*h**3*s**2 - h**3 + 542113602*s wrt s?\nAnswer: 60*h**3*s**3 - 211958860*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 4*w = 6*w. Let y(v) = 2*v**2 + 4*v - 6. Let g be y(-5). Is g - w - (9 + -11) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*m = -90*m - 318. Solve -2*v - 23 = m*z + 3*v, 3*z + 3*v + 21 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1736 - -1736.2. What is the closest to 0 in 5, 8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -747*d**2*l - 544*d**2 wrt l.\nAnswer: -747*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32279024 to four dps.\nAnswer: 0.3228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/7 + 249*x + 6924\/7.\nAnswer: 3*(x + 4)*(x + 577)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 34181 - 4*a - 34726 + 4*a + 7*a**3 + (1 - 3 + 4)*(a**3 - 2*a**3 + 3*a**3) - 3*a**3 + 2*a**3 + 2*a**3 as k + u*a + c*a**3 + z*a**2 and give k.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20441 + 20455. What is the remainder when 544 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/12 + 2*x. Let z(i) be the first derivative of -9*i**2\/2 - 146. Calculate n(z(p)).\nAnswer: -81*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 13 + 1. Let g(i) = i**3 + 7*i**2 - i - 3. Let a be g(y). Suppose 0*m + 2*m - a = 0. Solve r = -2 - m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8da1 (base 16) in base 8?\nAnswer: 106641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u + 2. Let t be k(-2). Let n = -7 + t. Let r be ((-3)\/n)\/((-4)\/20). Which is the third smallest value? (a) r (b) -2\/19 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 - 255 + 764 - 253 - 256.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22124074 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 5. Let n be u(-7). Let f(w) = 16 - n - 3*w. Let m(i) be the first derivative of -i**2 + 23. What is f(m(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-195)*5\/(-2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-84)\/70)\/(4\/30). Let p be (27\/6)\/(b\/(-6)). Solve -5*y + p = 4*d - 9, 0 = 2*d + y - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**8\/60480 + f**7\/7560 - f**6\/720 - 4*f**5\/5 + 7*f**2 + 4. Let g(z) be the third derivative of h(z). Solve g(w) = 0 for w.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 96. Let q be m(0). Suppose -4*i = -0*v + 3*v - q, 5*i = -3*v + 96. Suppose v = 4*a - 200. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 10 + 6. Is 7 a factor of v\/6*(-105)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3728\/24)\/((-1)\/(-3) + 0).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 38*g + g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**4 + 2*v**2 + 91438*v**3 + 7*v**2 - 91452*v**3 to the form j + d*v + t*v**4 + x*v**2 + n*v**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4798 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*r + 268*r + 144 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -5, 0, 0.2, 14, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 11. Let o = -355 - -510. Calculate the highest common divisor of c and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 1229*v + 1229*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 656285 rounded to the nearest 1000?\nAnswer: 656000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m - 0. Calculate the remainder when m is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c = 18*c - 135 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Suppose 0 = h*w - 14 - 6. Solve 0*d = w*d - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 79 - 271 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*q - 6. Find the second derivative of 0*w**2 + 14*w + 6*w**2 + 13*w**2 - q*w**2 wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 144 - 32*l - 144. Let o(j) = 3*j. Determine o(q(u)).\nAnswer: -96*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(27)*2 - (-1*sqrt(243) + sqrt(27)))\/(sqrt(18)\/(sqrt(14)\/sqrt(175))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4 = -w - 6*f, -w + 2*f = -4. Solve -w*l + 40 = 28 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.3. Let t = -0.5 + o. Let m be (-7 + 5)*(-2)\/(-14). Sort t, -0.1, m in increasing order.\nAnswer: t, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-5 - -6) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/6)\/(((-2)\/(-8))\/((-111)\/(-148))). Which is the fifth biggest value? (a) -14\/3 (b) -5 (c) 0.5 (d) -0.4 (e) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -14. Suppose 0 = 2*k - a + 1. Suppose 0*l = k*l - 80. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -133) + -113 + (-23 - -1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/10)\/(124\/(-620)). Suppose -w + 2*x = 4, -7*w + w - z*x + 21 = 0. Solve 5\/4*h**3 - w - 5*h + 1\/2*h**4 - 3\/2*h**2 = 0.\nAnswer: -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhmjphhkhbhb. Give prob of sequence bp.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 2\/3*m**3 - 3 + 2*m + 5\/2*m**2. What is the units digit of r(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18 - 1848\/(-96))*4. Sort -4, h, -5, 2, 17.\nAnswer: -5, -4, 2, h, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 3*h**2 - 27*h + 13. Calculate r(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + 0*y)*(43 + 22 + 43) - y + 1 - 1 + 3 - 3 - 7*y.\nAnswer: 100*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**2 + 39*d**2 - 110*d**2 + 44*d**2 + 2*d.\nAnswer: -5*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**16)**(-13\/6)\/(y**4)**17 assuming y is positive.\nAnswer: y**(-308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/10 - ((-216)\/(-1296) - 11\/30).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - 8\/(-6). Suppose j - 6 = -2*z + g*j, 3*z - 4*j = 19. Let s be 0\/2 - 3\/(-4). Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6913, -13828, -20743, -27658, -34573?\n\"Answer: -6915*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 28367.69 and -2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 26*i**2 - 68*i - 30. What is the units digit of k(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -13?\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 1:33 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10983.4*-251.\nAnswer: 2756833.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(10)\/(sqrt(16)\/sqrt(2) + sqrt(2)) - (-1 + sqrt(5) + -3)*6).\nAnswer: -68*sqrt(5)\/3 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 - 2*o**2 + 43 - 1 + 47 + 43.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 23253.\nAnswer: 23249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 times 3.1\nAnswer: 7.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 7*r + 2*r = 27, 753*r + 320 = 73*v + 749*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(396) + (-1*sqrt(396)*-5 - sqrt(396) - sqrt(396)))\/sqrt(12))\/(((2*sqrt(396) + sqrt(396))\/sqrt(12))\/((sqrt(81)\/sqrt(3))\/sqrt(9))).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 6*c**2 - 5*c. Let f be a(5). Solve f = -7*o + 2*o - 5*t - 15, -o = -2*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1197391 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -21*q**2 + 13*q - 41. Differentiate x(p) wrt p.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40778159531.36179 + -40315398640.36179488. Let v = c - 462760910. Let b = v + 19. What is b rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5490, -22380, -50698, -90444?\n\"Answer: -5714*r**2 + 252*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1512)\/(-140))\/((-2)\/(-5)). Suppose -6377 = -b*u + 20*u. List the prime factors of u.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-12))\/b**11*(b\/((b*b*b**(2\/3))\/b))\/b**(-19))**(-1\/18) assuming b is positive.\nAnswer: b**(11\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3\/3 - 6*v**2 + 2*v. Let q be r(8). Solve 3*y - 5*k + 11 = 0, -q*y - k = -y - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/12 and 115\/28572.\nAnswer: 28572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33189, -66328, -99359, -132228, -164881?\nAnswer: -197264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 72\/5 of a millimeter?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 9178\/49 and 186 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/21)\/((-85)\/(-476))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -8*s - 706. Let t(w) = -2*w. What is t(d(c))?\nAnswer: 16*c + 1412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 52799420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 18*g**2 + 2*g - 1. Let l be z(-4). Suppose -54*w + 59*w - 77 = -4*o, 4*o + 3*w - 75 = 0. Calculate the greatest common divisor of o and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88361 and 40204255.\nAnswer: 40204255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:11 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 14) in base 13?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14742303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 6. What is the tens digit of l\/(-1*(-4)\/106)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -1450729.177.\nAnswer: 1450728.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**3\/3 + j**2\/2 + j. Let o(d) = d + 4 + 2 - 5 + 8. Let s be o(-5). Calculate l(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by 2\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 10*i**4 - 2*i**2 + 25 + 5*i**4 + 25 - i as f*i + y*i**4 + m + r*i**2 + x*i**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bak when three letters picked without replacement from {b: 1, k: 2, f: 2, z: 2, a: 1, l: 4}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 2*b. Let h(d) be the third derivative of d**7\/5040 - d**5\/30 + 2*d**2. Let q(s) be the third derivative of h(s). Give c(w) + 2*q(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + 4. Suppose -5*v - d = 12. Let f(j) = j**2 + 10*j + 7. List the prime factors of f(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16315 or 16314?\nAnswer: 16315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4688400 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 6*t**2 - 7*t + 2. Let z be f(7). Suppose 4*u - 2 = z. What is the highest common divisor of u and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118.25402*0.2\nAnswer: -23.650804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*y - 865 = -11*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 15*a**2 - 15*a + 16. Let n be v(-16). What is the units digit of ((-3)\/6 + n)\/((-8)\/208)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-232)\/1276 - (-56)\/66. What is the nearest to 0.1 in 4, z, -2, 0.347?\nAnswer: 0.347","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2474*d**5*i**2 + 9*d**4*i**3 + 8*d**2*i**3 + 2964*d**2*i**2 wrt d.\nAnswer: 148440*d**2*i**2 + 216*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3087 + -3071. What is the remainder when 829 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1 plus 495841?\nAnswer: 495834.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 2*d + 111. Let j be q(-11). Let m(o) = -2*o + 22. Determine m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -41\/3. Let w = -13 - -13.8. Let s = 0.5 - w. Which is the nearest to o? (a) -2 (b) -2\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/6)\/((-11)\/(-176)). Let i = 0 + -0.1. Which is the third biggest value? (a) -5 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 12. Suppose -3*d - 5*p = 2 - 26, -d = -n*p - 8. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971089.83ns in days?\nAnswer: 0.000000011239465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -41*q**2 - 4*q - 166. Let l(p) = -9*p**2 - p - 42. Give 18*l(o) - 4*n(o).\nAnswer: 2*o**2 - 2*o - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*r**2 + 16 - 44\/5*r = 0. What is r?\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(17\/5)*d**(7\/4))\/(d**(-19)\/(((d\/d**(2\/15))\/d)\/d)))**(-4\/45) assuming d is positive.\nAnswer: d**(-1381\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 + 1772*l - 12255. Calculate n(-450).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -3)*(-16)\/(-12). Let z be 6\/f*4\/2. Suppose -4*t - z*s = -45, 6*s - 2*s = -20. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from cccpccpppppcpecppp?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833028806 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.9 and 194429401743.\nAnswer: 194429401756.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -j - 18, -2*j + 0*j + 29 = -5*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408515817.\nAnswer: 3, 67, 2032417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g + 7. Let u(v) = 18*v + 99. Let m be u(-6). Let j be -8 - ((3 + m)\/(-2))\/(-1). Give i(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in 3, -5, 4, 7\/34, 22\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -532, -1183, -2094, -3265?\nAnswer: -4696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.715 + 5.715. Which is the nearest to 2\/5? (a) o (b) 0 (c) 2\/35 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from iwihiiioiioiiiwiioxb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**8\/336 - 4*m**7\/21 + 17*m**6\/12 - 13*m**5\/3 + 175*m**4\/24 - 22*m**3\/3 + 10*m**2 - 13*m. Factor p(d).\nAnswer: -(d - 1)**4*(d + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/2035793?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21002 - 1211001?\nAnswer: -1232003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000091676 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 29*v**3 + 1. Suppose -2*t + 18 = 97*y - 92*y, -2*y = -4*t - 12. Calculate b(t).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*t = 89*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2642 divided by -13722\nAnswer: 1321\/6861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -241.\nAnswer: -96.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 200 - 134. Let u be 2\/(-9) - k\/432. Let x = 5 - 1. Which is the nearest to 0? (a) u (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*d, 3*p = 2*d - 0*d. Solve -2*o + 12 = -z, d = -0*z - 4*z + o - 13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 790 = -4*d, y + d - 337 = -76. Suppose y - 106 = 3*p. Let l = -363\/7 + p. Which is the closest to 1? (a) l (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 356 + 990. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198600 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/7 - 26*x**3\/7 - 85*x**2\/7 + 12*x + 396\/7 = 0 for x.\nAnswer: -22, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t = -23*t + 24. What is the third smallest value in t, 9, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680395 is divided by 200.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20\/7 - -33\/14. Sort z, -4, 0.1 in decreasing order.\nAnswer: 0.1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 4*o - 7. Let z be n(6). Let i be (z + -11)*(-2)\/6. Suppose 5*g - i*d = 177, 0 = -5*d + 2 - 7. Calculate the highest common divisor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - h = -27, -17*h + 753 - 399 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24808633 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*w**2 + 45 - 5*w**3 + 2*w - 28 + 71*w**2 + 63*w**2 to the form u*w + y + p*w**2 + r*w**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8686 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 3634691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -41758529 greater than -41758531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 258*t + 5*t**3 + 1 - t**2 - 2*t**3 - 259*t. What is f(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 2*t**2 - 5*t - 2. Let f = -18 + 22. Let h be v(f). What is the highest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 2*v - 1. Let n(s) = 31*s**2 - 4*s - 2. Determine -2*j(p) + n(p).\nAnswer: -2*p**3 + 31*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -202512 (base 6) in base 2?\nAnswer: -11111100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 9. Suppose 1 = -t + f. Let p(m) = -5*m**3 + 4*m**2 - 4*m + 6. Let j(a) = 11*a**3 - 9*a**2 + 9*a - 13. Let d(y) = 6*j(y) + 13*p(y). Give d(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = -j. What is the biggest value in -1\/4, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 11*s + 44. Solve -s*j - b = 21 - 10, 1 = -4*j - 3*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -328a92 (base 12) in base 4?\nAnswer: -3010020032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(18\/(-48)). Solve -d - n*j = -12, -4*d + 3*j + 2*j = 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (150\/(-20500))\/(6\/1328). Let k = 9\/41 + l. What is the common denominator of k and 43\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50680954 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 111*i + 225*i - 40*i + (-3 + 2*i + 3)*(3 + 0 - 2) to the form m*i + h and give m.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 222617 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43397547 to the power of 1\/2, to the nearest integer?\nAnswer: 6588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1113, 4458, 10041, 17868, 27945, 40278, 54873?\nAnswer: 71736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4*v + 6 = 0. Let q(j) = 2*j + 6. List the prime factors of q(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cssomcossocoomo. What is prob of sequence ossm?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -8 + -8 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 44090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5350958252.\nAnswer: 2, 1337739563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 102906*m + 1851667. Calculate r(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -24 - (-1 + 2 + -20 + 3) - 33?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-six fifths of a millimeter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118843 - 118845. Let x be (3 + 1)*2\/4. Let n be (-2 - -1) + 1\/1. Which is the nearest to x? (a) n (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1553*d**4 - 13*d**3 - 12*d**2 + d + 119024066?\nAnswer: 6212*d**3 - 39*d**2 - 24*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(378)\/sqrt(6))\/sqrt(3))\/((sqrt(300) - (sqrt(300)*-3 - sqrt(300)) - sqrt(300)) + sqrt(3)) + -2.\nAnswer: -1 + sqrt(7)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4*1064.54983\nAnswer: -4258.19932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 8:25 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 12323*l - 1121394. What is y(91)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2840 is divided by 944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5255 - 5338 + 10593 - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2469*j**2 + 277*j - 557*j**2 - 279*j.\nAnswer: 1912*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(68)*-3 + sqrt(68) + ((sqrt(68) - -2*sqrt(68)) + sqrt(68))*3)\/(3*(sqrt(4) + (sqrt(200)\/sqrt(5))\/sqrt(10))).\nAnswer: 3 + 7*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -307, -289, -251, -187, -91?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -1\/2 (c) 3\/4 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 93 - 162 = 0. Let a = 14 - i. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17136 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1, 0.5, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 13, j: 2, f: 5}. Give prob of picking 2 j and 1 f.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 17, -4, 2616, -0.5 in ascending order.\nAnswer: -4, -0.5, -1\/3, 17, 2616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}